Answer:
Rosie now has c+3 charms
Explanation:
We are given that the original number of charms that Rosie has is c
We know that Ray gave Rosie 3 new charms
This means that the number of charms that Rosie originally had increased by 3
To express this increase, we use addition where we add 3 to the original number of charms that she had
New number of charms = original number of charms + 3
New number of charms = c + 3
Hope this helps :)
Answer:
c+3
Step-by-step explanation: she already had c charms, since we do not know what c is equal to, we can only simplify the question down to c(what she had) +3(what ray gave her)
given the vector v has an initial point (-2,-6) and a terminal point of (1,2) write vector v as a linear combination of the standard unit vector i and j.
Answer:
v=3i+8j
Step-by-step explanation:
The given the vector v has an initial point (-2,-6) and a terminal point of (1,2).
To find the components of vector v, we subtract the terminal points from the initial point to obtain.
v=<1,2>-<-2,-6>
v=<1--2,2--6>
v=<1+2,2+6>
v=<3,8>
As a linear combination of the standard unit vectors.
v=3i+8j
Math the graph with the correct equation
Answer:
the answer is d and please accept my friend request
Step-by-step explanation:
Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, , is drawn from the right angle to the hypotenuse. What is the length of ?
Answer:
8 units
Step-by-step explanation:
mid point of hypotenuse of right angled isosceles triangle is equidistant from three vertices.
length of altitude=16/2=8
The question is incomplete, here is a complete question.
Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, GJ, is drawn from the right angle to the hypotenuse.
What is the length of GJ?
A. 2 units
B. 4 units
C. 6 units
D. 8 units
Answer : The correct option is, (D) 8 units
Step-by-step explanation :
Given:
Length FH = 16 unit
As we know that a altitude between the two equal legs of an isosceles triangle creates right angles is a angle and opposite side bisector.
Thus,
Length FJ = Length HJ = [tex]\frac{16}{2}[/tex] = 8 units
As, the triangle is an isosceles. So, length GF = length GH = x unit
First we have to determine the value of 'x'.
Using Pythagoras theorem in ΔFGH :
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
[tex](FH)^2=(GF)^2+(GH)^2[/tex]
Now put all the values in the above expression, we get :
[tex](16)^2=(x)^2+(x)^2[/tex]
[tex]256=2x^2[/tex]
[tex]x^2=128[/tex]
[tex]x=8\sqrt{2}[/tex]
Thus, length GF = length GH = x unit = [tex]8\sqrt{2}[/tex]
Now we have to determine the length GJ.
Using Pythagoras theorem in ΔGJH :
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
[tex](GH)^2=(GJ)^2+(HJ)^2[/tex]
Now put all the values in the above expression, we get :
[tex](8\sqrt{2})^2=(GJ)^2+(8)^2[/tex]
[tex]128=(GJ)^2+64[/tex]
[tex](GJ)^2=128-64[/tex]
[tex](GJ)^2=64[/tex]
[tex]GJ=\sqrt{64}[/tex]
[tex]GJ=8[/tex]
Thus, the length of GJ is, 8 units.
select all the statements that are true for the given parabola
Answer:
A and C
Step-by-step explanation:
The graph has a minimum U at vertex (1, 5) → A is true
The x- intercepts, where the graph crosses the x- axis are not as given
The axis of symmetry has equation x = c where c is the value of the x- coordinate the axis passes through.
The axis of symmetry passes through the vertex with equation
x = 1 → C
The graph does not have a maximum vertex ∩
If (-1, y) lies on the graph of y = 3x+1, then y =
0
1/3
1
Answer:
y = -2
Step-by-step explanation:
We have a point (-1,y) on the graph of y = 3x + 1
When x = -1 then,
y = 3(-1) + 1
y = -3 + 1 = -2
Answer:
If the question is "If (-1, y) lies on the graph of y = 3^x+1, then y = 1"
So the answer is 1
Step-by-step explanation:
i need help Distribute 7(5-3). What is the expanded form?
Question 3 options:
a (7 x 3) - (7 x 5)
b (7 + 5) - (7 + 3)
c (7 x 5) - (7 x 3)
d(7 x 5) + (7 x 3)
Answer: The answer to your question is C. (7*5) - (7*3)
Step-by-step explanation: because when you have an expression or equation in parentheses, you apply the distributive property to get rid of the parentheses:
The problem will now look like this:
[tex]7(5-3)= (7*5) - (7*3)[/tex]
And if they asked you for the answer in a whole number, it would be 14 because
7*5=35 and 7*3=21
35-21=14
So, therefore, the expanded form would be (7*5) - (7*3)
What is the solution to he equation (y/y-4)-(4/y+4)=3^2/y^2-16
Answer:
[tex]y=\pm i \sqrt{7}[/tex]
Step-by-step explanation:
Given equation is [tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]
Factor denominators then solve by making denominators equal
[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{3^2}{(y^2-16)}[/tex]
[tex]\frac{y}{\left(y-4\right)}-\frac{4}{\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]
[tex]\frac{y\left(y+4\right)-4\left(y-4\right)}{\left(y-4\right)\left(y+4\right)}=\frac{9}{(y+4)\left(y-4\right)}[/tex]
[tex]y\left(y+4\right)-4\left(y-4\right)=9[/tex]
[tex]y^2+4y-4y+16=9[/tex]
[tex]y^2=9-16[/tex]
[tex]y^2=-7[/tex]
take squar root of both sides
[tex]y=\pm \sqrt{-7}[/tex]
[tex]y=\pm i \sqrt{7}[/tex]
Hence final answer is [tex]y=\pm i \sqrt{7}[/tex].
Need Help Fast!!!!!!!!!!!!!!
-5(3)+13
=-15+13
=-2
Answer: g(3)= -2
ANSWER
g(3)=-2
EXPLANATION
The given function is
[tex]g(r) = - 5r + 13[/tex]
We want to find g(3).
We substitute r=3 into the given function to obtain:
[tex]g(3) = - 5 \times 3 + 13[/tex]
Multiply out the first term
[tex]g(3) = - 15 + 13[/tex]
Simplify the result to obtain:
[tex]g(3) = -2[/tex]
The hypotenuse of a right angle triangle measures 12 units. what is the maximum possible area in square units, of the triangle ?
Answer:
The maximum possible area of the triangle is 36 units²
Step-by-step explanation:
Let
x, y the legs of the right triangle
Applying the Pythagoras Theorem
[tex]12^{2}=x^{2}+y^{2}\\\\144=x^{2}+y^{2}[/tex]
[tex]y=\sqrt{144-x^{2}}[/tex] ----> equation A
The area of the right triangle is equal to
[tex]A=\frac{1}{2}xy[/tex] ----> equation B
substitute equation A in equation B
[tex]A=\frac{1}{2}x(\sqrt{144-x^{2}})[/tex]
Using a graphing tool
The vertex of the graph is a maximum
That means
The x-coordinate of the vertex is the value of x for the maximum possible area of the triangle
The y-coordinate of the vertex is the maximum possible area of the triangle
The vertex is the point (8.485,36)
see the attached figure
therefore
The maximum possible area of the triangle is 36 units²
What expression represents 2 times the sum of 5 and 7
Answer:
2(5+7)
Step-by-step explanation:
2 times any equation is 2(equation) and our equation is the sum of 5 and 7 which means 5 plus 7, therefore our equation is 2(5+7)
Answer
(5 + 7) · 2
Step-by-step explanation
If we take a look at PEMDAS or BEDMAS whichever one you were taught, multiplication comes before addition. (And unless you are in 2nd grade, you will know that "times" means multiplication, and sum is the result of an addition problem.)
P = Parentheses {|} B = Brackets/Parentheses
That means that anything in parentheses or brackets comes first, no matter what type of problem it is. So, if we add 5 and 7 and then multiply it by two and just rephrase that, we get 2 times the sum of 5 and 7.
What is the simplest form of square root 1,764
[tex]\bf \sqrt{1764}~~ \begin{cases} 1764=&2\cdot 2\cdot 3\cdot 3\cdot 7\cdot 7\\ &2^2\cdot 3^2\cdot 7^2\\ &(2\cdot 3\cdot 7)^2\\ &42^2 \end{cases}\implies \sqrt{42^2}\implies 42[/tex]
Tj worked for 5 hours and 45 minutes how should he write that on his time card
Answer:
Tj should write 5.75 hours on her time card.
Step-by-step explanation:
We have been given, Tj worked for 5 hours and 45 minutes.
We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.
[tex]\frac{45 minutes }{60} \times\frac{hour}{minutes}[/tex]
=0.75 hours
Hence, Tj should write 5.75 hours on her time card.
The area of a rectangle is 4g^2- h^2. Use Factoring to find the dimensions of the rectangle.
Answer: [tex](2g+h)[/tex] and [tex](2g-h)[/tex]
Step-by-step explanation:
The area of a rectangle is obtained by multiplying its lenght by its width.
You know that the area of this rectangle is [tex]4g^2- h^2[/tex], then you need to apply the Difference of squares to find the dimensions of this rectangle.
Remember that the Difference of squares is:
[tex]a^2-b^2=(a+b)(a-b)[/tex]
Then, applying this, you get:
[tex]4g^2- h^2=(2g+h)(2g-h)[/tex]
Therefore, now you know that the dimensions are:
[tex](2g+h)[/tex] and [tex](2g-h)[/tex]
the length and breadth of rectangle are [tex]2g - h[/tex] and [tex]2g + h[/tex] respectively
The given expression for the area of the rectangle is [tex]4g^2 - h^2[/tex]
This expression is a difference of squares, which can be factored using the formula: [tex]a^2 - b^2 = (a - b)(a + b)[/tex]
Now by comparing both equations we can factor as follows:
[tex]4g^2 - h^2 = (2g)^2 - h^2\\\\4g^2 - h^2 = (2g+h)(2g-h)[/tex]
We know that area of a rectangle is a product of its length and breadth so we can say that:
Length: 2g - h
Breadth: 2g + h
So, the length and breadth of rectangle are [tex]2g - h[/tex] and [tex]2g + h[/tex] respectively
The measure of a vertex angle of an isosceles triangle is 120° and the length of a leg is 8 cm. Find the length of a diameter of the circle circumscribed about this triangle.
Answer in CM, please. Thanks!
Answer:
16cm
Step-by-step explanation:
To find the diameter we must first find the radius and multiply by 2.
The isosceles triangle that has the length of a leg to be 8cm and a vertex angle of [tex]120\degree[/tex] that has been circumscribed is shown in the attachment.
We draw a line from the vertex of the isosceles triangle that bisects the base through the center O of the circle.
This implies that [tex]m\angle OAC=60\degree[/tex].
Based on this [tex]m\angle ACO=60\degree[/tex] because the two radii are equal.
It follows that:[tex]m\angle AOC=60\degree[/tex] because sum of angles in a triangle must be 180 degrees.
This means that, triangle AOC is an equilateral triangle, hence all sides are equal.
One side of this equilateral triangle happens to be the side of the leg of the isosceles triangle which is 8cm.
It follows that, the radius of the circle is 8cm.
Therefore the diameter of the circle is 16cm
I promise brainliest and it very simple I promise....
Given the following values, which point would be considered an outlier?
X Y
1 0.9
2 2.1
3 3.2
4 3.9
5 7.4
6 5.8
7 7.2
8 8
9 9.1
A. (2, 2.1)
B. (9, 9.1)
C. (8, 8)
D. (5, 7.4)
Answer:
D (5,7.4)
Step-by-step explanation:
This is because all of the other (x,y) vales are close together in number and this is an outlier because it stands out from the group.
The answer is D. (5, 7.4)
Simplify.
(-2x2yz3)(-2x3y4z2)2
(Some of these numbers are exponents, not integers.)
Answer:−8x8y9z7
Step-by-step explanation:
round 283,657 to the nearest thousand
284,000
(You would round up one because the number right before the thousands place is the hundred, which in our case, is above 4. As such, we are going to round up to 284,000.)
Hope I could help! :)
When rounding 283,657 to the nearest thousand, we look at the hundreds digit which is 6. Since it is greater than 5, we round up, resulting in a final rounded number of 284,000.
Explanation:To round 283,657 to the nearest thousand, we look at the hundreds place to decide whether to round up or down. Since the hundreds digit is a '6' (which is greater than 5), we round up to the next thousand. Therefore, 283,657 rounded to the nearest thousand is 284,000.
Rounding rules dictate that if the digit to the right of the target rounding place is 5 or greater, we round up the target digit by one. In this case, we're rounding to the nearest thousand, so we look at the hundreds place which is a 6. Since it is greater than 5, we add one to the thousands place, changing 283,000 to 284,000, and set all the following digits to zero, giving us our final rounded number.
Learn more about Rounding Numbers here:https://brainly.com/question/34796630
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39. Find the length of each arc shown in red. Leave your answer in simplified radical form.
Answer:
The length of the arc shown in red is [tex]\frac{22}{9}\pi\ in[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=4\ in[/tex]
substitute
[tex]C=2\pi (4)[/tex]
[tex]C=8\pi\ in[/tex]
step 2
Find the length of the arc in red
Remember that the length of the circumference subtends a central angle of 360 degrees
so
by proportion find the length of the arc by a central angle of 110 degrees
[tex]\frac{8\pi}{360}=\frac{x}{110}\\ \\x=8\pi*110/360\\ \\x=\frac{880}{360}\pi\ in[/tex]
Simplify
[tex]\frac{880}{360}\pi=\frac{22}{9}\pi\ in[/tex]
Simplify 12 to the 3rd over 12 to the 7th.
Answer
4.8/5
30
We are given 12 to the 3rd power over 12 to 7th power.
First we write given expression as exponent form and we get It looks ..
If base is same in division then their exponent subtract.
Thus, It would be 1 over 12 to the 4th.
Find the lateral area of the prism below. Round your answer to the nearest whole number. Need help asap easy geometry question
Answer:
LA = 322 meters squared
Step-by-step explanation:
LA = hp
= 26(2 + 5 + 5.39)
= 26(12.39)
= 322 meters squared rounded to the nearest whole number
The 4th choice
Answer:
It would be option D or option number 4.
11 sq root 45-4 sq root 5
Answer:
[tex]29\sqrt{5}[/tex]
Step-by-step explanation:
We want to simplify:
[tex]11\sqrt{45}-4\sqrt{5}[/tex]
We need to simplify the first radical before we can subtract
[tex]11\sqrt{9\times5}-4\sqrt{5}[/tex]
[tex]11\sqrt{9} \times\sqrt{5}-4\sqrt{5}[/tex]
This implies that:
[tex]11\times 3\times\sqrt{5}-4\sqrt{5}[/tex]
[tex]33\sqrt{5}-4\sqrt{5}[/tex]
We have now obtained like surds.
We simplify to get:
[tex]29\sqrt{5}[/tex]
George rented a cab for his family for a day of sightseeing. The cab company charges $9 to pick up his family from the hotel and $0.25 per mile for the trip. If x represents the number of miles and y represents the total amount George pays, select the equation and the graph that correctly model this situation.
Answer:
1. y=0.25x+9
2. The graph that starts at 9 and the highest number is 11.
NOT THE ONE WITH THE HIGHEST NUMBER 15
Step-by-step explanation:
I got it right on edmentum
The equation that correctly models this situation y=0.25x+9.
What is a linear equation?
A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c. When solving the system of linear equations, we will get the values of the variable, which is called the solution of a linear equation.
solving this we will get the valve of Y if x is given.
calculation:-
⇒pickup charges of the cap company= $9
⇒charge for per mile = $0.25
⇒let the total distance traveled is X
⇒total amount George pays (y)= 0.25x+9.
Learn more about linear equations here:-https://brainly.com/question/14323743
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What's the area of this rectangle?
well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.
hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length
and
the length of the segment at (-1, -3), (-4, -2) for its width
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}[/tex]
Which of these numbers has the greatest absolute value? -43, -23, 0, 18 A) -43 B) -23 C) 0 D) 18
Answer:
A) -43
Step-by-step explanation:
The absolute value is the distance from 0... which means you take the number and if there's a negative sign in front of it, you remove it.
-43 becomes 43 as an absolute value... so it's bigger than the others (23, 0, and 18).
Answer is then A) -43
help need to divide the fraction
Hello There!
So we divide fractions by multiplying by the reciprocal.
So let’s change 6/7 divided by 3/8 to 6/7 multiplied by 8/3.
Once we do that, we can start our multiplication.
Once we multiply, we get 48/21
We can both divide these by 3 to simplify it so once we divide we will get
16/7
This can be turned in a mix number and it would be 2 and 2/7
What is the slope of the points (-3, 5) and (-1, 4)?
Answer:
[tex]\large\boxed{\text{The slope}\ m=-\dfrac{1}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (-3, 5) and (-1, 4). Substitute:
[tex]m=\dfrac{4-5}{-1-(-3)}=\dfrac{-1}{2}=-\dfrac{1}{2}[/tex]
Use the equation below to find a, if b = 5 and c = 12
a = 27 - b - c
Answer: 10
a=27-5-12=10
A= (27-5)=22-12=10
A=10
which word completes the law of detachment? if a conditional is true and its _ is true, then the conclusion is true. hypothesis conclusion conditional statement
Answer: hypothesis
Step-by-step explanation:
Answer:
The correct word is hypothesis.
Step-by-step explanation:
If a conditional statement is true and its HYPOTHESIS is true, then the conclusion is true.
The conditional statement is written in the following form -
If p is true, then q is true.
Here p is the hypothesis and q is the conclusion.
The opposite can be defined as - if the hypothesis is true and the conclusion is false, then the conditional statement is false.
How do you convert 3x+2y=6 into slope intercept form?
pretty much by simply solving for "y".
[tex]\bf 3x+2y=6\implies 2y=-3x+6\implies y=\cfrac{-3x+6}{2} \\\\\\ \underset{\textit{distributing the denominator}}{y=\cfrac{-3x}{2}+\cfrac{6}{2}~\hfill }\implies y=-\cfrac{3}{2}x+3\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]
Answer:
y = -3/2 x +3
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
3x+2y = 6
Subtract 3x from each side
3x-3x+2y = -3x+6
2y = -3x+6
Divide each side by 2
2y/2 = -3x/2 +6/2
y = -3/2 x +3
This is in slope intercept form where the slope is -3/2 and the y intercept is 3
yvette measured the length of her driveway to be 5 meters long. Which of these is an equivalent measurement?
A. 0.07 mi
B. 15.5 yd
C. 16.4 ft
D. 585 in.
the answer is c. 16.4 feet in 5 meters
Answer:
16.4 ft
Step-by-step explanation:
We are given that Yvette measured the length of her driveway to be 5 meters long.
We have to find that which is equivalent to given length in given options.
Measurement of length = 5 m
We know that 1 meter =3.28 foot
1 meter=1.09 yard
1 meter =39.37 inches
5 m= [tex]5\times 3.28=16.4 ft[/tex]
5 m=[tex]5\times .109=5.45 yard[/tex]
5 m=[tex]5\times 39.37=196.85 inches[/tex]
Hence, measurement of length =5 m =16.4 ft