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➷ x=-2, no explanation
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
There always needs to be an explanation so you understand it!
Follow this step by step.
#1. Remove all -1 on both sides.
You are left with 2(x+3)+x=0.
#2. Expand the equation.
2x+6+x=0.
#3. Simplify 2x + 6 + x to 3x + 6.
3x+6=0
#4. Subtract 6 from each side.
3x=−6.
#5. Divide both sides by 3.
x = -6/3.
#6. Simplify 6/3 to 2.
x = 2.
Therefore, you get [tex]\fbox{x = 2}[/tex].
A circle has a circumference of 907.46907.46907, point, 46 units.
What is the diameter of the circle?
c ÷ 3.14=d
907.46 ÷3.14= 289
Answer:
Diameter = 289 units
Step-by-step explanation:
A circle has a circumference of 907.46 units
The circumference of a circle is outer boundary.
[tex]\text{Circumference (C)}=\pi d[/tex]
where, d is diameter, C=907.46
Put the value of C
[tex]907.46=\pi d[/tex]
[tex]907.46=3.14\times d[/tex]
[tex]d=289[/tex]
Hence, The diameter is 289 units
please help with question 6 with reasoning first person will get brainliest
Answer:
I think it's $216
Step-by-step explanation:
0.3 times 720
100 points and brainliest
We can use the vertical line test to check if each graph is a function. If the line passes through two points, it is not a function. If it only passes through one point then it is a function.
Graph 1:
It is a function because the line doesn't pass through more than one point. (yellow)
Graph 2:
It is not a function because the line does pass through more than one point. (orange)
Graph 3:
Horizontal lines are not functions. (orange)
Graph 4:
It is a function because the line doesn't pass through more than one point. (yellow)
Best of Luck!
Answer:
Graph 1:
It is a function because line don't pass more than one point. (yellow)
Graph 2:
It is not a function because line does pass through more than one point. (orange)
Graph 3:
Horizontal lines are not functions. (orange)
Graph 4:
It is a function because the line doesn't pass through more than one point. (yellow)
Step-by-step explanation:
please mark as brainliest
is graph shows the number of dogs that were treated everyday over the past year. What can you tell about the average number of dogs treated by each veterinarian in the past year?
Could you show the graph please?
Answer:
On average, A New Leash on Life Animal Clinic treats more dogs per day than No Ruff Stuff Animal Hospital.
I know this cause I just got it right on I-Ready lol
please please please help me!
Answer:
[tex]\frac{x}{x(x - 6)}\\\\\frac{1}{x-6}[/tex]
6 is excluded
Step-by-step explanation:
The expression [tex]\frac{x}{x^2 - 6x}[/tex] can be simplified by factoring the denominator and dividing out the x term.
x² - 6x = x(x-6)
It simplifies the expression by:
[tex]\frac{x}{x(x - 6)}\\\\\frac{1}{x-6}[/tex]
The excluded value is any value which makes the denominator 0.
x - 6 = 0
x = 6
6 is excluded.
(4x ^2+2x+1) (x^2-3x+5)
Answer:
You need to multiply the polynomials. Please see attached picture for answer.
= 4x ^4 + -10x^3 + 15x^2 + 7x +5
Step-by-step explanation:
You need to multiply each term step by step
(4x ^2+2x+1)*(x^2) + (4x ^2+2x+1)*(-3x) + (4x ^2+2x+1)*5
= (4x ^4 + 2x^3 +x^2) + (-12x ^3 - 6x^2 -3x) + (20x ^2+10x+5)
= 4x ^4 + -10x^3 + 15x^2 + 7x +5
6(2x-1)-12=3(7x+6
Please help ALGEBRA
Answer:
x=-4
Step-by-step explanation:
6(2x-1)-12=3(7x+6)
Distribute
12x -6 -12 = 21x +18
Combine like terms
12x-18 = 21x+18
Subtract 12x from each side
12x-12x-18 = 21x-12x+18
-18 = 9x+18
Subtract 18 from each side
-18-18 = 9x+18-18
-36 = 9x
Divide by 9
-36/9 = 9x/9
-4 =x
Write a scenario that could work for the following line of best fit: y=-0.8+5.6. Explain the slope and intercept in the context.
Answer:
The slope would be -0.8 and 5.6 would be the intercept.
Step-by-step explanation:
The constant at the end of the equation is always the intercept.
The coefficient of x is the slope.
This just means that the graph starts at (0. 5.6) and has a rate of change of -0.8 y for every change in x.
Represent the following expressions as the power of a number a.
1/a^2 · 1/a^3
Answer:
a⁻⁵
Step-by-step explanation:
1/a²·1/a³
Multiply numerators and denominators
= (1 × 1)/(a² × a³)
= 1/a⁵
= a⁻⁵
Please Help! Given parallelogram ABCD with the measures shown, what is the Measure of 5?
Answer:
[tex]m\angle 5=76\degree[/tex].
Step-by-step explanation:
In the given parallelogram, line AC is a transversal.
Using the alternate interior angles theorem,
[tex]m\angle 5=76\degree[/tex].
You can observe this by tracing a Z-pattern.
You will then observe that m<5 and the [tex]76\degree[/tex] angles are alternate interior angles.
What is the slope of this function ?
Answer:
3
Step-by-step explanation:
just take any 2 points (since it is linear) and do the slope formula.
slope is y2-y1/x2-x1
The slope is gonna be positive 3 for this question!
Which of these systems of linear equations has an infinite number of solutions?
A. 3x-8y=21
6x-16y=46
B. 3x+6y=22
6x+12y=44
C. 5x+9y=2-
10x-14y=48
D. 5x-9y=20
10x+18y=40
Answer: 3x+6y=22
6x+12y=44
Step-by-step explanation: my math teacher told me
3x+6y=22 and 6x+12y=44 system of linear equations have an infinite number of solutions.
When will a system of equations have an infinite number of solutions?A system of linear equations will have an infinite number of solutions when the equations are the same. That is, when the equations coincide.
We can find which system of equations have infinite number of solutions as shown below:Let's take the system,
3x-8y=21
6x-16y=46
Divide the second equation throughout by 2:
We get 3x-8y=23, This is not the same as the first equation. This system does not have infinitely many solutions.
Let's take the system,
3x+6y=22
6x+12y=44
Divide the second equation throughout by 2:
We get 3x+6y=22, This is the same as the first equation. This system has infinitely many solutions.
Let's take the system,
5x+9y=2
10x-14y=48
Divide the second equation throughout by 2:
We get 5x-7y=24, This is not the same as the first equation. This system does not have infinitely many solutions.
Let's take the system,
5x-9y=20
10x+18y=40
Divide the second equation throughout by 2:
We get 5x+9y=20, This is not the same as the first equation. This system does not have infinitely many solutions.
Therefore, we have found the system of equations contained in option B has infinitely many solutions.
Learn more about the system of linear equations here: https://brainly.com/question/847634
#SPJ2
Kary created the table below to graph the equation r=1+2sin theta. Kary thinks she made a mistake.
the answer is D. (4.24,pi/4)
The mistake in the table is located at point [tex](r, \theta) = \left(4.24, \frac{\pi}{4} \right)[/tex].
How to evaluate a function with respect to a given table
In this question we must evaluate the function [tex]r(\theta) = 1 + 2\cdot \sin \theta[/tex], where [tex]\theta[/tex] in radians, for all [tex]\theta[/tex] set in the table and looks that all values of [tex]r[/tex] match with all corresponding values in the table.
According to the table, [tex]r\left(\frac{\pi}{4} \right) = 4.24[/tex] but the evaluation of the function brings out a different result:
[tex]r\left(\frac{\pi}{4} \right) = 1 + 2\cdot \sin \frac{\pi}{4}[/tex]
[tex]r\left(\frac{\pi}{4} \right) = 1 + 2\cdot \left(\frac{\sqrt{2}}{2} \right)[/tex]
[tex]r\left(\frac{\pi}{4} \right) = 1 + \sqrt{2}[/tex]
[tex]r\left(\frac{\pi}{4} \right) \approx 2.414[/tex]
The mistake in the table is located at point [tex](r, \theta) = \left(4.24, \frac{\pi}{4} \right)[/tex]. [tex]\blacksquare[/tex]
To learn more on polar functions, we kindly invite to check this verified question: https://brainly.com/question/9547138
Find the value of each variable. X and y. 26 30
Answer:
x = 13 and y = 13√3
Step-by-step explanation:
Recall that sin Ф = opposite side / hypotenuse, and that
cos Ф = adjacent sice / hypotenuse.
if we recognize that the angle Ф is 30° here, then we know that:
x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.
and....
y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3
In summary, x = 13 and y = 13√3
Determine the intercepts of the line.
Y-intercept (0,___)
X-intercept (___,0)
Look at the picture.
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
x-intercept: (-1.2, 0)y-intercept: (0, -0.7)Final answer:
To find the y-intercept of a line, set x to zero in the equation y = mx + b, and the y-intercept is the value of b. To find the x-intercept, set y to zero and solve for x. The intercepts are the coordinates where the line crosses respective axes.
Explanation:
To determine the intercepts of a line, you need to find the points where the line crosses the axes. The y-intercept is the point where the line crosses the y-axis, and it is found when the value of x is 0. If we have a linear equation in the form y = mx + b, the y-intercept is the value of b, which is the y-coordinate when x is zero.
To find the x-intercept, we need to find the value of x when y is zero. This can be done by setting the y-value in the equation y = mx + b to zero and solving for x. The resulting x-value will be the x-coordinate of the x-intercept.
For example, if we have a linear equation y = -2x + 3, the y-intercept occurs when x is zero, which means y = 3. So the y-intercept is (0,3). To find the x-intercept, we set y to 0 and solve for x: 0 = -2x + 3, resulting in x = 1.5. Thus, the x-intercept is (1.5,0).
Find the volume of the composite figure shown. Use 3.14 to approximate pi. Round your answer to the tenths.
Answer:
21499.4 in³
Step-by-step explanation:
1. Find the area of the face:
a. Triangle: 1/2*b*h = 1/2*30*15 = 225 in²
b. Rectangle: b*h = 22*30 = 660 in²
c. Semi-circle: 1/2*πr² = 1/2*π*(d/2)² = 1/2*3.14*11² = 189.97 in²
d. Total: 225 + 660 + 189.97 = 1074.97 in²
2. Find height: 20 in
3. Find volume: 1074.97*20 = 21499.4 in³
Check the picture below.
so, the composite is really, a triangular prism on top of a rectangular prism with a semi-circle.
now, if we can just get the volume of each individual solid, then we're golden.
for the triangular prism, its volume is simply the triangular face's area times the length, in this case 20.
for the rectangular prism, is the same, the rectangular face's area times the length.
now, for the semicircle is the same, let's recall, the area of a full circle is πr², so the area of half a circle is (πr²)/2. Notice in the picture, the semi-circle has a radius of 11.
[tex]\bf \stackrel{\textit{area of the triangle}}{\left[\cfrac{1}{2}(30)(15) \right]}(\stackrel{\textit{length}}{20})~~+~~ \stackrel{\textit{rectangle's area}}{(22\cdot 11)}(\stackrel{\textit{length}}{20})~~+ \stackrel{\textit{semi-circle's area}}{\left(\cfrac{\pi 11^2}{2} \right)}(\stackrel{\textit{length}}{20}) \\\\\\ 4500+4840+1210\pi \implies \stackrel{\pi =3.14}{13139.4}[/tex]
Select the two values of x that are roots of this equation
The answers are:
B. [tex]\frac{-3-\sqrt{29}}{2}[/tex]
C. [tex]\frac{-3+\sqrt{29}}{2}[/tex]
Why?We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.
Quadratic equation:
[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}[/tex]
So,
From the given equation we have:
[tex]a=1\\b=3\\c=-5[/tex]
Substituting it into the quadratic equation to find the roots, we have:
[tex]\frac{-b+-\sqrt{b^{2}-4ac} }{2a}=\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}\\\\\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}=\frac{-3+-\sqrt{9+20} }{2}\\\\\frac{-3+-\sqrt{29}}{2}[/tex]
So,
[tex]x_{1}=\frac{-3-\sqrt{29}}{2}\\\\x_{2}=\frac{-3+\sqrt{29}}{2}[/tex]
Hence, the correct options are B and C.
WORTH 20 POINTS PLEASE HURRY !!!!!!!
Solve the System of Equations using Elimination/Combinations
- 2x - y = - 4
x = 2y = 5
Answer:
Step-by-step explanation:
Okay so solve this this is how you do it
[tex]-2x-y=-4[/tex] and [tex]x+2y=5[/tex]
To cancel out the X we have to make x into 2 x
[tex]1(-2x-y=-4)\\2(x+2y=5)\\\\[/tex]
[tex]-2x-y=-4\\2x+4y=10[/tex]
we can cancel out -2x and 2x now leaving us with
[tex]-y=-4\\4y=10[/tex]
add them both and solve for y
[tex]3y=6\\y=\frac{6}{3}\\y=2[/tex]
Now just substitute 2 for y
[tex]-2x-2=-4\\-2x=-4+2\\-2x=-2\\x=\frac{-2}{-2} \\x= 1[/tex]
Or
[tex]x+2(2)=5\\x+4=5\\x=5-4\\x=1[/tex]
In both the equations your answer will be the same
Hope this helps :)
If you have an doubt or need further help just reply :)
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-5,-8); y=-3x+5
a parallel line to that equation will have the same exact slope, so
[tex]\bf y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
then we're really looking for the equation of a line whose slope is -3, and runs through (-5,-8)
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-3[x-(-5)] \\\\\\ y+8=-3(x+5)\implies y+8=-3x-15\implies y=-3x-23[/tex]
у₁=kx+b; y₂= -3x+5
y₁||y₂⇒ k= -3; y₁= -3x+b
-8 =-3*(-5)+b
-8=15+b
-23=b
y₁= -3x-23
Tracis Bank charges $2 for withdrawals at nonbank ATMs and a fee of $2.50 per month for debit card. last month she paid $10.50 in ATM and debit card fees how many numbers ATM withdrawals did she make
Answer:
5 withdrawals
Step-by-step explanation:
Since $10.50 ends in $0.50, you know that she must have made at least one $2.50 transaction.
10.50 - 2.50 = 8
8/2 = 4 (she made four $2 transactions)
She made 4 $2 transactions and 1 $2.50 transaction.
4 + 1 = 5
She made 5 transactions total.
Can somebody help me answer this plz?
the answer would be 47.5
2(5v+6)-6(-9v+2) Find the sum or difference.
Answer:
64v
Step-by-step explanation:
2(5v+6)-6(-9v+2)
Distribute the 2 to everything in the parentheses.
10v+12-6(-9v+2)
Distribute the -6 to everything in the parentheses.
10v+12+54v-12
Combine like terms
64v
I think the answer might be 64v
If the perimeter of triangle ABC is 27.6 cm, what is the perimeter, in centimeters, of triangle BCD. Show all work!
I NEED HELP please!
HEYA
since perimeter of ΔABC=27.6cm
AB=9.6cm
BC=6cm
therefore AC= 12cm
[tex]27.6cm - 9.6cm - 6cm = 12cm[/tex]
since ΔABC~ΔBCD
therefore the sides will be proportional
let the perimeter of ΔBCD=x
[tex] \frac{9.6}{6} = \frac{27.6}{x} [/tex]
[tex]x = \frac{27.6 \times 6}{9.6} cm[/tex]
x=17.25cm
hope it helps you mate thanks for the question and if possible please mark it as brainliest
2. Four devices (A, B, C, D) contain a total 225GB of data. - The device A has half as much data as device B. - The device C has five times as much data as device B and device D combined. - The sum of twice the amount of data on device C and four times the amount of data on the device D is equal to the difference between 500GB and the amount of data on device B. Determine the amount of data (in GB) on each device.
To solve the data distribution problem among four devices, we use a system of equations representing the conditions given for the data storage among devices A, B, C, and D. By expressing all variables in terms of the amount on device B and solving, we determine the data distribution to be 35 GB, 70 GB, 105 GB, and 15 GB for devices A, B, C, and D respectively.
Solving the Data Distribution Problem
Let's represent the amount of data on devices A, B, C, and D as a, b, c, and d respectively. Given that the total amount of data is 225 GB, we have:
a + b + c + d = 225 GB (1)a = 0.5b (2)c = 5(b + d) (3)2c + 4d = 500 GB - b (4)From these equations, we can express everything in terms of b and subsequently find the values of a, b, c, and d. To demonstrate, let's substitute (2) and (3) into (1) and solve for b:
0.5b + b + 5(b + d) + d = 2256.5b + 6d = 225 (5)Now, using equation (3), we can express d in terms of b and substitute into (5):
c = 5(b + d)Let d = [tex]\(\frac{c}{5}[/tex]- b\) (6)Substitute c from (3) into (4), and then d from (6) into the result:
2*(5(b + d)) + 4d = 500 - b10b + 10d + 4d = 500 - b (7)Simplify (7) and solve for b:
10b + 14d = 500 - b11b + 14d = 500 (8)By substituting (6) into (8):11b + [tex]14(\(\frac{c}{5} - b\))[/tex] = 500Solve this equation to find b, then use b to find a, c, and d accordingly.We calculate a = 35GB, b = 70GB, c = 105GB, and d = 15GB. These are the amounts of data on devices A, B, C, and D respectively.
Devices A, B, C, and D contain approximately 9.0 GB, 18.1 GB, 157.4 GB, and 13.4 GB, respectively.
Let's denote:
- The amount of data on device A as [tex]\(x\)[/tex] GB.
- The amount of data on device B as [tex]\(y\)[/tex] GB.
- The amount of data on device C as [tex]\(z\)[/tex] GB.
- The amount of data on device D as [tex]\(w\)[/tex] GB.
Given:
1. [tex]\(x = \frac{1}{2}y\)[/tex]
2. [tex]\(z = 5(y + w)\)[/tex]
3. [tex]\(2z + 4w = 500 - y\)[/tex]
We know that the total amount of data on all devices is 225 GB:
[tex]\[x + y + z + w = 225\][/tex]
We'll use these equations to solve for [tex]\(x\), \(y\), \(z\), and \(w\)[/tex].
Substituting [tex]\(x = \frac{1}{2}y\)[/tex] into the equation for the total amount of data:
[tex]\[\frac{1}{2}y + y + z + w = 225\][/tex]
[tex]\[y + 2y + z + w = 225\][/tex]
[tex]\[3y + z + w = 225\][/tex]
[tex]\[y = \frac{225 - z - w}{3}\][/tex]
Now, we'll use this expression for [tex]\(y\)[/tex] to rewrite the other equations:
From equation 2:
[tex]\[z = 5\left(\frac{225 - z - w}{3} + w\right)\][/tex]
[tex]\[z = \frac{5}{3}(225 - z - w) + 5w\][/tex]
[tex]\[z = \frac{5}{3}(225) - \frac{5}{3}z - \frac{5}{3}w + 5w\][/tex]
[tex]\[z + \frac{5}{3}z + \frac{5}{3}w = \frac{5}{3}(225) + 5w\][/tex]
[tex]\[\frac{8}{3}z + \frac{5}{3}w = \frac{1125}{3} + \frac{15}{3}w\][/tex]
[tex]\[8z + 5w = 1125 + 15w\][/tex]
[tex]\[8z = 1125 + 10w\][/tex]
[tex]\[z = \frac{1125 + 10w}{8}\][/tex]
From equation 3:
[tex]\[2z + 4w = 500 - \frac{225 - z - w}{3}\][/tex]
[tex]\[2z + 4w = 500 - \frac{225}{3} + \frac{1}{3}z + \frac{1}{3}w\][/tex]
[tex]\[2z + \frac{1}{3}z + \frac{1}{3}w + 4w = \frac{1500 - 225}{3}\][/tex]
[tex]\[2z + \frac{1}{3}z + \frac{13}{3}w = \frac{1275}{3}\][/tex]
[tex]\[\frac{7}{3}z + \frac{13}{3}w = \frac{1275}{3}\][/tex]
[tex]\[7z + 13w = 1275\][/tex]
[tex]\[7\left(\frac{1125 + 10w}{8}\right) + 13w = 1275\][/tex]
[tex]\[7(1125 + 10w) + 104w = 10200\][/tex]
[tex]\[7875 + 70w + 104w = 10200\][/tex]
[tex]\[174w = 2325\][/tex]
[tex]\[w = \frac{2325}{174}\][/tex]
[tex]\[w = 13.4\][/tex]
Substituting [tex]\(w = 13.4\)[/tex] into the equation for [tex]\(z\)[/tex]:
[tex]\[z = \frac{1125 + 10(13.4)}{8}\][/tex]
[tex]\[z = \frac{1125 + 134}{8}\][/tex]
[tex]\[z = \frac{1259}{8}\][/tex]
[tex]\[z = 157.375\][/tex]
Substituting [tex]\(w = 13.4\)[/tex] into the expression for [tex]\(y\)[/tex]:
[tex]\[y = \frac{225 - z - w}{3}\][/tex]
[tex]\[y = \frac{225 - 157.375 - 13.4}{3}\][/tex]
[tex]\[y = \frac{54.225}{3}\][/tex]
[tex]\[y = 18.075\][/tex]
Substituting [tex]\(y = 18.075\)[/tex] into the equation for [tex]\(x\)[/tex]:
[tex]\[x = \frac{1}{2}y\][/tex]
[tex]\[x = \frac{1}{2}(18.075)\][/tex]
[tex]\[x = 9.0375\][/tex]
So, the amount of data on each device is approximately:
- Device A: [tex]\(9.0\)[/tex] GB
- Device B: [tex]\(18.1\)[/tex] GB
- Device C: [tex]\(157.4\)[/tex] GB
- Device D: [tex]\(13.4\)[/tex] GB
can someone pls help me and don’t make fun of me bc it’s easy for you☺️
Answer:
7
Step-by-step explanation:
Find the greatest common factor of 28 and 35, which is 7. That means that each group will have seven people.
To go more into detail, there will be 4 groups of 6th graders and 5 groups of 7th graders.
Find the odds for and the odds against the event rolling a fair die and getting a 1 comma a 2 comma or a 5.
Answer:
1/2 for or against
Step-by-step explanation:
There is a six sided die so the chance of getting one side is 1/6.
To get the sum for 3 sides, just do 1/6 + 1/6 + 1/6 = 3/6 or 1/2.
Use the distributive property to factor the expression. 12xy + 28xz
Answer:
4x(3y + 7z) = 12xy + 28xz
Step-by-step explanation:
Factoring is the decomposition of an expression into a product of factors, which when multiplied together give the original expression.
Final answer:
The expression 12xy + 28xz can be factored using the distributive property by taking out the greatest common factor, which is 4x, resulting in the factored form 4x(3y + 7z).
Explanation:
To use the distributive property to factor the expression 12xy + 28xz, we need to find the greatest common factor (GCF) that is common to both terms. Here, the GCF for the numerical coefficients 12 and 28 is 4, and both terms have the variable x. Thus, we factor out 4x from both terms.
The factored expression is 4x(3y + 7z). We get this by dividing each term by the GCF:
For 12xy: (12xy)/(4x) = 3y
For 28xz: (28xz)/(4x) = 7z
Finally, we write the expression as the GCF multiplied by the sum of these quotients: 4x(3y + 7z).
One of the legs a right triangle is twice as long as the other and the perimeter of the triangle is 28. Find the lengths of all three sides, to three decimal places
So x 2x are the sides using Pythagorean theorem x^2 + (2x)^2= 5x^2
So the side is the square root of 5x^2 so now we have the third side
The sum of the sides should add to 28 so:
X+2x+√5x=28 factor the x
X(3+√5)=28 and we know √5=2.236
So x= 28/5.236= 5.347
To find the lengths of all three sides of the right triangle, set up two equations using the given information and the Pythagorean theorem. Solve these equations to find the values of x and the lengths of the other two sides.
Explanation:Let x be the length of the shorter side of the right triangle. According to the problem, the longer side is twice as long as the shorter side, so its length is 2x. The perimeter of the triangle is given as 28, so we can set up the equation x + 2x + hypotenuse = 28. Using the Pythagorean theorem, we know that the sum of the squares of the two legs is equal to the square of the hypotenuse, so we can write another equation x^2 + (2x)^2 = hypotenuse^2. Solving these two equations will give us the lengths of all three sides of the triangle.
From the perimeter equation, we have x + 2x + hypotenuse = 28. Simplifying, we get 3x + hypotenuse = 28. Rearranging, we get hypotenuse = 28 - 3x.
Substituting this into the Pythagorean theorem equation, we have x^2 + (2x)^2 = (28 - 3x)^2. Simplifying and solving this equation will give us the value of x, which we can then use to find the lengths of the other two sides of the triangle.
Based on the sample results about what proportion of the population has a favor social network
Answer: 0.8
Step-by-step explanation:
i guessed and got it correct
The sample results about 0.8% proportion of the population has a favor social network.
What is social network ?A social network is a website that enables users to connect and exchange information, pictures, and videos. People who participate in social networking activities may do so for personal or professional reasons.Type of social network? social media sites.Networks for sharing mediaDiscussion boardsNetworks for bookmarking and content curation.Networks of user reviews.Learn more about social network https://brainly.com/question/2083119
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Help Please!!
It takes an Amtrak train about 8 hours to travel from Los Angeles to San Francisco.
If the entire trip is 400 miles, what is the average speed of the Amtrak train?
Show your work in the box below, including the proper units for your answer.
Thank You!
Answer:
50 miles per hour
Step-by-step explanation:
Here,
Time= 8 hours
Distance=400 miles
The speed is calculated by dividing the distance by time.
So,
Average Speed=Distance/Time
= 400/5
=50 miles per hour
The average speed of the Amtrak train traveling from Los Angeles to San Francisco, which is a distance of 400 miles in 8 hours, is 50 miles per hour.
The subject of this question is Mathematics, specifically involving the concept of speed which is a part of physical science and physics. To find the average speed of the Amtrak train, we need to divide the total distance traveled by the time taken for the journey. The total distance from Los Angeles to San Francisco is given as 400 miles, and the time taken is 8 hours.
To calculate the average speed, use the formula:
Average Speed = Total Distance / Total Time
Substituting the given values:
Average Speed = 400 miles / 8 hours = 50 miles/hour
Therefore, the average speed of the Amtrak train is 50 miles per hour.