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luda_lava [24]
3 years ago
7

The diagram shows corresponding lengths in two similar figures. Find the ratio of the perimeters and the ratio of the areas.

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

15:20

divide each by 5

3:4

to find the ratio of the area's we square the ratio's of the sides

3^3 : 4^2

9:16


Choice B

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Brandon bought Snacks for his teams practice he bought a bag popcorn for 211 and a six pack of juice bottles of total cost befor
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Answer: 2.11X=11.41

X=9.3

or

211x=1141

930

Step-by-step explanation:

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2 years ago
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The graph of a quadratic function contains the points
svet-max [94.6K]

Answer:

Both Shawn and Brielle are correct. The function that represents a vertical stretch by a factor of 9 is f(x)=9×2.The function that represents a horizontal shrink by a factor of 3 is:   f(x)=(3x)2, which is equal to f(x)=9×2.

Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.

7 0
3 years ago
If A^2=A, which matrix is matrix A
Ronch [10]

Consider all options:

A.

\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] \cdot \left[\begin{array}{cc}5&5\\-4&-4\end{array}\right] =\left[\begin{array}{cc}5\cdot 5+5\cdot (-4)&5\cdot 5+5\cdot (-4)\\-4\cdot 5+(-4)\cdot (-4)&-4\cdot 5+(-4)\cdot (-4)\end{array}\right]=

=\left[\begin{array}{cc}5&5\\-4&-4\end{array}\right].

This option is true.

B.

\left[\begin{array}{cc}6&5\\5&6\end{array}\right] \cdot \left[\begin{array}{cc}6&5\\5&6\end{array}\right] =\left[\begin{array}{cc}6\cdot 6+5\cdot 5&6\cdot 5+5\cdot 6\\5\cdot 6+6\cdot 5&5\cdot 5+6\cdot 6\end{array}\right]=

=\left[\begin{array}{cc}61&60\\60&61\end{array}\right].

This option is false.

C.

\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+(-0.5)\cdot (-0.5)&0.5\cdot (-0.5)+(-0.5)\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot (-0.5)+0.5\cdot 0.5\end{array}\right]=

=\left[\begin{array}{cc}0.5&-0.5\\-0.5&0.5\end{array}\right].

This option is true.

D.

\left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] \cdot \left[\begin{array}{cc}0.5&0.5\\-0.5&0.5\end{array}\right] =\left[\begin{array}{cc}0.5\cdot 0.5+0.5\cdot (-0.5)&0.5\cdot 0.5+0.5\cdot 0.5\\-0.5\cdot 0.5+0.5\cdot (-0.5)&-0.5\cdot 0.5+0.5\cdot 0.5\end{array}\right]=

=\left[\begin{array}{cc}0&0.5\\-0.5&0\end{array}\right].

This option is false.

E.

\left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] \cdot \left[\begin{array}{cc}-6&-6\\5&5\end{array}\right] =\left[\begin{array}{cc}-6\cdot (-6)+(-6)\cdot 5&-6\cdot (-6)+(-6)\cdot 5\\5\cdot (-6)+5\cdot 5&5\cdot (-6)+5\cdot 5\end{array}\right]=

=\left[\begin{array}{cc}6&6\\-5&-5\end{array}\right].

This option is false.

Answer: correct options are A and C.

8 0
3 years ago
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A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides wa
lapo4ka [179]

Answer:

a) 2b = 3g

b) 3p = b

Step-by-step explanation:

Given:

Fire hydrant with a blue cap, b, provides water at a rate = 1500 gallons per min

Fire hydrant with a green cap, g, provides water at a rate = 1000 gallons per min

Fire hydrant with a purple cap, p, provides water at a rate = ½g = \frac{1}{2}*1000 = 500

a) The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

Given flow of blue hydrant, b = 500

Simplifying, we have:

b = 3*500

b = 3 * \frac{1000}{2}

Since the flow rate of green hydrant, g, is 1000, let's replace 1000 with g above.

Therefore,

b = 3 * \frac{g}{2}

b = \frac{3}{2}g

Cross multuply

2b = 3g

The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g is 2b=3g.

b) An equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.

Given flow rate of purple hydrant, p = 500

It could also be re-written as:

\frac{3}{3} * 500

p = \frac{1500}{3}

Since the flow rate of blue hydrant, b, is 1500, let's replace 1500 with b above.

p = \frac{b}{3}

Cross multiply

3p = b

8 0
3 years ago
Which inequality describes all the solutions to 5(3 - x) < -2x + 6? A) x < -9 B) x > 3 C) x < -3 D) x > 7
Kamila [148]
The correct answer is b
4 0
3 years ago
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