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Bogdan [553]
2 years ago
5

PLS HELP ITS URGENT!

Mathematics
1 answer:
love history [14]2 years ago
8 0

Answer:

the slope is 3

Step-by-step explanation:

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Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16
HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image  PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

|A'B'|=k\times |AB|   .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}

PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}

It is noticed that the size of side in preimage is 2\sqrt{13} and the size of same side in image is \sqrt{13}.

Using equation (1), we get

\sqrt{13}=k \times 2\sqrt{13}

k=\frac{1}{2}

k=0.5

Hence, the value of scale factor is 0.5.

7 0
3 years ago
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Arturiano [62]
5040, I looked up the factorial of 7
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Calculate the length of the circumference of a circle with diameter of 7cm
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The circumference of the circle is given by the equation C = pi * D. Incorporating the length of the diameter into the equation, we have,  

C = pi * D

                C = pi * 7cm

                C = 21.99 cm 

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The x-intercept of 5y+2x20 is (10.0) True False
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Answer:

answer

the answer is false

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2 years ago
(01.01 MC)Which number line shows the solution to 4 + (−4)?
Rasek [7]

The solution to the statement 4 + (-4) is correctly given by the third number line.

  • The solution given by plot 1 is : (-4) + (-4) as both arrows points 4 units to the left.

  • The solution given by plot 2 is : ( 4 + 4) as both arrows points 4 units to the right.

  • The solution given by plot 3 is (4) + (-4) as one arrow points 4 units to the left and the other points 4 units to the right.

  • The solution given by the plot 4 is (-4 + 8) as one arrow points 4 units to the left and the other points 8 units to the right.

Therefore, the Number line which shows the solution 4 + (-4) is the third number line.

Learn more :brainly.com/question/16191404

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