Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC = [tex]\sqrt{100}[/tex] = 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
Translate this phrase into an algebraic expression: 4 less than the product of 7 and a number (x).
A. 4 - 7x
B. 7x - 4
C. 7(x - 4)
D. x/7 - 4
Answer:
B. 7x - 4
Step-by-step explanation:
A product of 7 and X means they will be multiplied. You can't subtract 4 until you know the product of 7 and X so that's why you subtract it after.
Find the value of x rounded to the nearest tenth
Applying the angle bisector theorem, the value of x is: B. 5.3.
What is the Angle Bisector Theorem?An angle bisector divides an angle into two congruent halves. According to the angle bisector theorem, an angle bisector of a triangle divides the interior angles opposite sides in such a way that the corresponding lengths are proportional to each other. This means that the corresponding sides have ratios that are equal.
How to Apply the Angle Bisector Theorem to Find x?In the image given, applying the angle bisector theorem, we have the following proportion which we can use to find the value of x in the triangle given above:
6/x = 9/8 [according to the angle bisector theorem]
Cross multiply
(9)(x) = (6)(8)
9x = 48
Divide both sides by 9
9x/9 = 48/9
x = 5.333
Thus, to the nearest tenth, the value of x is approximately calculated as: B. 5.3
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Given a right triangle with the length of one leg equal to 9 centimeters and the length of the hypotenuse equal to 15 centimeters, what is the length of the other leg?
Answer: 12cm
Work is shown in the attached sheet! :)
Answer:
12
Step-by-step explanation:
what’s the solution to x-4y=-8 and 2x-3y=-16
Answer: [tex]x=-8\\y=0[/tex]
Step-by-step explanation:
You can apply the elimination method:
- Multiply the first equation by -2.
- Add both equations to cancel out the variable x.
- Solve for y:
[tex]\left \{ {{(-2)(x-4y)=-8(-2)} \atop {2x-3y=-16}} \right.\\\\\\\left \{ {{-2x+8y=16} \atop {2x-3y=-16}} \right.\\ ------\\5y=0\\y=0[/tex]
- Substitute y=0 into any of the original equations ans solve for x. Then:
[tex]x-4(0)=-8\\x=-8[/tex]
The answers are:
[tex]x=-8\\y=0[/tex]
Why?Since we have to equations, first we need to isolate one variable, and then substitute it into the other equation.
So, isolating x from the first equation we have:
[tex]x-4y=-8\\x=-8+4y[/tex]
Then, substituting "x" into the second equation, we have:
[tex]2(-8+4y)-3y=-16\\-16+8y-3y-=-16\\5y=-16+16\\5y=0\\y=\frac{0}{5}=0[/tex]
Therefore, substituting "y" into the first equation, we have:
[tex]x-4(0)=-8\\x-0=-8\\x=-8[/tex]
So, the solutions for the system of equation are:
[tex]x=-8\\y=0[/tex]
Have a nice day!
what is the solution to the equation |10-5y| =20
a) y=2
b) y=4
c) y=6
d) y=10
Answer:
The correct answer is option c) y = 6
Step-by-step explanation:
It is given that|10-5y| =20
Check each option
a) y = 2
|10 - 5y| = |10 - 5 * 2| = | 10 - 10 | = 0 ≠ 20
b) y = 4
|10 - 5y| = |10 - 5 * 4| = | 10 - 20 | = |-10| = 10 ≠ 20
c) y = 6
|10 - 5y| = |10 - 5 * 6| = | 10 - 30 | = |-20| = 20
d) y = 10
|10 - 5y| = |10 - 5 * 10| = | 10 - 50 | = |-40| ≠ 20
From the above result we get the correct answer is option c) y = 6
Answer:
The correct answer option is a) y =2.
Step-by-step explanation:
We are given the following equation and we are to find its solution:
[tex] | 1 0 - 5 y | = 2 0 [/tex]
Since the expression [tex]10-5y[/tex] is enclosed in a modulus, it means that its value cannot be negative, it has to be positive always.
[tex] 1 0 - 5 y = 2 0 [/tex]
[tex] -5 y = 2 0 - 1 0 [/tex]
[tex] -5 y = 1 0 [/tex]
Ignoring the negative sign because of mod.
[tex]y=\frac{10}{5}[/tex]
y = 2
I need help, please! Also if you could tell me how to do it I’d be so thankful.
Simplify: -|-11|
A.
-1.1
B.
0
C.
-11
D.
11
Answer:
Just take out the two lines and make it stay a negative number!
Which is (c) -11
2 bar represents absolute value which is positive value of passed number.
so |-6| will give positive of 6 that it 6.
so after taking absolute value now you have a nagetive sign in front of value we obtained. so your number now become negative.
so
- (|-11| )= -(11) = -11
so answer is option C
A rectangle has a length of 2x +3 and a width of x + 1 (as shown below). Find the perimeter of the rectangle.
Answer:
6x + 8
Step-by-step explanation:
The perimeter of the rectangle
P = 2(L + W)
Plug in
= 2(2x + 3 + x + 1)
= 2(3x + 4)
Distributive property
= 6x + 8
Answer:
The perimeter of the rectangle = 6x + 8
WILL GIVE BRAINLIEST ANSWER !! NEED HELP QUICK !!
Let P represent the statement "Mary works at the water park." Let Q represent the statement "Mary takes college classes."
Which symbolic notation represents the statement "Mary works at the water park or takes college classes." ?
A. P ∨ Q
B. P ∧ Q
C. P → Q
D. P ↔ Q
Answer:
The correct answer would be B.
Step-by-step explanation:
Answer:
I'd say the answer is B. P ∧ Q
A number cube is rolled 300 times. Predict how many times a number greater that 3 would be rolled
Answer:
150
Step-by-step explanation:
4, 5 and 6 are all numbers greater than 3.
The chances of rolling a 4 is 1/6, that of a 5 is 1/6, and that of a 6 is 1/6.
The chances of rolling a number greater than 3 is thus 3/6, or 1/2.
This is theoretical probability; you haven't actually observed this happening.
We can now multiply (300 rolls) by this probability 1/2, obtaining 150.
We predict that in 300 rolls, 150 numbers greater than 3 would be rolled.
What is 3,000 + 600 + 90 + 7 in standard form
your answer is 3,697
it is 3,697. just take the first digit in each number, put it in the proper place by combining them
Solve the two-step equation.
part : a
-9x + 0.4 = 4
Which operation must be performed to move all the constants to the right side of the equation?
part: b
Then, which operation must be performed to isolate the variable?
part: c
The solution to the equation is x =
a)
Subtract 0.4 from both side.
-9x +0.4 = 4
-9x + 0.4 - 0.4 = 4 - 0.4
-9x = 3.6
b)
divide by -9 both side
-9x/-9 = 3.6/-9
x = -0.4
c) x = - 0.4
The steps needed to solve the given equation is required.
Adding the opposite value of the constant to both sides.
Divide both sides by the coefficient of the variable.
The solution to the equation is [tex]x=-0.4[/tex]
The given equation is
[tex]-9x+0.4=4[/tex]
In order to solve this we first move constants to the side opposite of the variable.
This is done by adding the opposite value of the constant to both sides.
[tex]-9x+0.4-0.4=4-0.4[/tex]
Here [tex]0.4[/tex] is the constant so we add [tex]-0.4[/tex] to both sides.
[tex]\Rightarrow -9x=3.6[/tex]
Now, we divide both sides by the coefficient of the variable.
[tex]\Rightarrow \dfrac{-9x}{-9}=\dfrac{3.6}{-9}\\\Rightarrow x=-0.4[/tex]
The solution to the equation is [tex]x=-0.4[/tex]
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Question 2 (3 points) What is the length of the segment whose endpoints are A(2, -3) and B(10, 7)?
Answer:
[tex]d = \sqrt{164} = 12.8[/tex]
Step-by-step explanation:
We can find the distance using the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We then substitute (2,-3) as [tex](x_1,y_1)[/tex] and (10,7) as [tex](x_2,y_2)[/tex].
[tex]d=\sqrt{(10-2)^2+(7--3)^2} \\d=\sqrt{(8)^2+(10)^2} \\d=\sqrt{64+100}\\d=\sqrt{164}=12.8[/tex]
a baseball field is in the shape of a square that is 90 feet on a side as shown. A player catches a ball at point x, which is three-quarters of the way between 2nd base & 3rd base, and throws the ball to 1st base.
What is the distance the player throws the call?
Answer:
The distance the player throws the ball is [tex]112.5\ ft[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
In the right triangle ABX
[tex]AB=90\ ft[/tex]
[tex]BX=(3/4)90=67.5\ ft[/tex]
XA --------> is the distance the player throws the ball (hypotenuse of the right triangle)
Applying the Pythagoras Theorem
[tex]XA^{2}=AB^{2}+BX^{2}[/tex]
substitute the values
[tex]XA^{2}=90^{2}+67.5^{2}[/tex]
[tex]XA^{2}=12,656.25[/tex]
[tex]XA=112.5\ ft[/tex]
The distance player throws the call was calculated using Pythagoras theorem and it is 112.5 feet.
It is given that
Side of the square = 90 feet
Distance of point x from the second base = 3/4 * 90 = 67.5
The distance the player throws the call let us say D will be the shortest distance between x and 1st base.
Distance D can be calculated by Pythagoras theorem
What is Pythagoras theorem?
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the perpendicular and the base.
[tex]D = \sqrt{90^{2} +67.5^{2} }[/tex]
[tex]D = \sqrt{8100+4556.25} \\\\D = \sqrt{12656.25\\}\\[/tex]
[tex]D=\sqrt{12656.25} = 112.5[/tex]
Therefore, the distance the player throws the call is 112.5 feet.
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Venus has a mean distance from the sun of 67,240,000 miles while Mars has a mean distance from the sun of 4,213,000,000 miles. How much farther is Mars from the sun than Venus?
Step-by-step explanation:
The distance is How much mars is farther then the sun then VenusGiven that the points (-3, 2) and (1, 2) are vertices of a square, what two sets of coordinates could form the other two vertices?
The given points have the same Y value.
Find the distance between the X values -3 to 1 is 4 units.
All sides of a square are the same length so the other points must be 4 units away.
Add 4 units to the Y values:
(-3,2) = (-3,(2+4)) = (-3,6)
(1,2) = (1,(2+4)) = (1,6)
Two other points to make a square could be (-3,6) and (1,6)
A polynomial function has a zeros at -1,2,7 and all are multiplicity of 1 write a function in standard form that could represent this function
Final answer:
To create a polynomial with zeros at -1, 2, and 7, each with a multiplicity of 1, you start with the factored form (x + 1)(x - 2)(x - 7) and expand it to get the standard form x^3 - 8x^2 + 15x + 14.
Explanation:
The question involves finding a polynomial function with given zeros. When a polynomial has zeros of -1, 2, and 7, all with a multiplicity of 1, the function can be expressed as product of linear factors associated with each zero. Starting from the factored form f(x) = (x - (-1))(x - 2)(x - 7), which encapsulates the given zeros, you can then expand this expression to get the polynomial in its standard form.
The expanded form of the polynomial is then f(x) = (x + 1)(x - 2)(x - 7), which, when expanded, yields f(x) = x^3 - 8x^2 + 15x + 14. This is a polynomial function in standard form that has the required zeros, each with a multiplicity of 1.
A sandwich shop sells sandwiches for $5.95 each, including tax. The shop received a total of $71.40 from the sounds of sandwiches one afternoon. Which equation can be used to determine the number of sandwiches, X,sold by the the sandwich shop that afternoon?
A:5.95+x equals 71.40.
B:5.94 divided 71.40 equals.
C:5.95x equals 71.40
D:5.95 divided times equals 71.40.
Answer:
C
Step-by-step explanation:
5.95(x)=71.40
7140/595=12
5.95(12)=71.40
The correct equation to find the number of sandwiches sold, X, is C: 5.95X = 71.40, which shows a direct correlation between the price per sandwich and the total income.
The question asks which equation can be used to determine the number of sandwiches, X, sold by the sandwich shop one afternoon given that each sandwich is sold for $5.95 and the total revenue is $71.40. The correct choice is C: 5.95X = 71.40. This is because to find the number of sandwiches sold (X), we need an equation that relates the price per sandwich to the total income from selling X number of sandwiches. Here, each sandwich is $5.95, and when you multiply that by the number of sandwiches sold, you should get the total sales of $71.40. Therefore, the equation is 5.95X = 71.40, where you can solve for X to find the total number of sandwiches sold.
Estimate the answer to:
341 ÷ 0.28
340 divided by 0.3 = 1133.3
hope this helps xx
A curve with equation
[tex]y = a {x}^{2} + bx + c[/tex]
crosses the x-axis at (-4,0) and (9,0) and it also passes through the point (1,120).
where does the curve cross the Y axis
[tex]y = a(x)^(2) + bx + c [/tex]
A test consists of 20 true/false questions. If a student guesses on each question, what Is the probability of getting exactly 15 correct
Answer:
50%
Step-by-step explanation:
due to the fact that its true/false questions, so that means when you answer you have 2 choices. a 50/50 chance of getting them right or wrong
Write 10 2 /19 as an improper fraction.
Answer:192/19
Step-by-step explanation:
10/1 +2/19=190/19+2/19=192/19
Answer: 192/19
Step-by-step explanation:
[tex]7b-3[/tex]
Which phrase describes the expression?
a. the difference of 7 plus and number b and 3
b. 7 times the difference of a number b and 3
c. 3 subtracted from the product of 7 and a number b
d. the product of 3 subtracted from 7 and a number b
The answer would be C
The phrase that describes the expression is 3 subtracted from the product of 7 and a number b
Given the expression 7b -3, we are to interpret the expression as a statement.
Let the unknown number in the expression is "b"7b represents the product of 7 and a number "b"7b -3 means that 3 is less than the product of 7 and a number "b"Hence the phrase that describes the expression is 3 subtracted from the product of 7 and a number b
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PLEASE HELP ASAP !!!what is the approximate volume of the cone use 3.14 for pi
Answer:
The volume would be 942
Cheers pal
Step-by-step explanation:
Answer: 942cm^3
Step-by-step explanation:
What is Payment shock
Answer:
Step-by-step explanation:
Payment Shock is when there is a risk that future periodic payments of a loan increases and thus may put the borrower at risk of defaulting on the loan.
It can occur for many reasons, such as:
change of fixed interest rateexpiration of temporary initial interest rateincrease is ARM's indexed interest ratePeople are usually attracted to these mortgages because low initial monthly payments. But sometimes, these backfire on them because of reasons stated above and put them at risk when monthly payments rise above being comfortable.
If b+3/7 = 2/5 then which of the following is true?5b + 15 = 14 b + 3 = 14 5b + 3 = 14 b + 15 = 14
Answer:
The first one is true. 5b+15=14
Step-by-step explanation:
(b+3)/7= 2/5
After cross-multiplication:
5(b+3)=2*7
5b+15=14
Caleb and 3 friends are sharing 1/4 quart of milk equally. What fraction of a quart of milk does each of the four friends get ?
4= 1/4
1/4x1/4 = 1/16
Answer: the person who answered this is wrong it’s 1/12.
1/4 divided by 3 (4 x 3=12, so 1/12)
Step-by-step explanation:
I need help I’ve been trying to figure this one out could get it
Answer:
The result is 7.8 * 10^3
Step-by-step explanation:
When we are dividing in scientific notation, divide the numbers in front
7.8/1 = 7.8
Subtract the exponents on the powers of 10
10^(7-4) = 10 ^3
The result is 7.8 * 10^3
Cindy had 13 stickers. She bought 18 stickers from a store in the mall and got 5 stickers for her birthday. Then Cindy gave 8 of the stickers to her sister and used 10 to decorate a greeting card. How many stickers does Cindy have left?
Answer:
18 stickers.
Step-by-step explanation:
Cindy buys 18 more stickers in the start. This results in 13+18= 31 stickers. She then gets five for her birthday. 31+5=36 so she now has 36 stickers but she then gives eight away which means she has 36-8=28 stickers. She uses ten stickers to decorate so Cindy has 28-10=18 stickers left
Answer:
si esta bien
Step-by-step explanation:
solve the equation: -4 (8+y) = 90
-32-4y=90
-4y=122
Y=-30.5
The solution is y =30.5
Step-by-step explanation:-4 (8+y) = 90
-32 - 4y = 90
Adding 32 on both sides
-32 - 4y +32 = 90 + 32
-4y = 122
or y = 30.5
I now the shape for not cubes i need explain
Answer:
The bottom right, middle top, and bottom left are NOT cubes.
Step-by-step explanation:
Cubes are defined as a three dimensional object with the same length, width, and height. Since the square on the bottom left is two dimensional, It is not a cube. Since the hexagon on the bottom right is two dimensional, It can't be a cube. The Middle top shape doesn't have the same length height as it's width is, so it is not a cube. The rest are cubes.
Answer: Circle 1st, 2nd, 4th, and 6th
Step-by-step explanation:
A cube is 4 perfect squares in a 3-D shape. Only shape 3 and 5 show this.