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rodikova [14]
3 years ago
10

A polygon is shown on the graph: A polygon is shown on a coordinate plane. The vertices are A at negative 6 comma 5, B at negati

ve 6 comma 2, C at negative 2 comma 2, and D at negative 2 comma 6. If the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates. (5 points)
Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Translating 4 units down and 5 units right means that you add 5 to the x coordinate, and subtract 4 from the y coordinate.

So, for example, we have

A' = (-6+5, 5-4)=(-1,1)

and so on for the other points.

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A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo
Gekata [30.6K]

1. A model of a famous statue is 2\dfrac{1}{2} inches tall that is

\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2} in.

2. The actual statue is 3\dfrac{1}{3} feet tall that is

\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.

3. The ratio of the height of the model to the height of the actual statue in simplest form is

\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.

Answer: \dfrac{1}{16}.

4 0
3 years ago
Line ab contains the points a(-2,3) and b(4,5). Line ab has a slope that is
gayaneshka [121]

Given two points A = (A_x, A_y),\ B = (B_x,B_y), the slope of the line passing through the two points is

m = \dfrac{A_y-B_y}{A_x-B_x}

So, in your case, you have

m = \dfrac{3-5}{-2-4} = \dfrac{-2}{-6} = \dfrac{1}{3}

5 0
3 years ago
Part C of Jim and his dad are building a rectangular flower bed.
charle [14.2K]
I gotchu

The perimeter is 35. If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change. This means that perimeter will no longer be 35. So in order to keep the perimeter as it is, if we change one dimension, we must also change the other.

Let's solve for the length, using the formula to see how much the length changes from.

p = 2l + 2w

35 = 2l + 2(15)

35 = 2l + 30

5 = 2l

2.5 = l


We must increase the length from 2.5 feet. This is because decreasing one dimension will decrease the perimeter. But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
6 0
2 years ago
Paula traveled 65 miles per hour for 2.5 hours and then traveled 45 miles per hour for 3.5 hours what is the total distance in m
Naddik [55]

Answer:

320

Step-by-step explanation:

(45*3.5)+(65*2.5)=320

8 0
3 years ago
X^2 + 16<br> Factor the polynomial completely
Lelu [443]

Step-by-step explanation:

{x}^{2}  +  {16} \\  {x}^{2}  +  {4}^{2}  \\(x + 4 {)}^{2}  \\  =  {x}^{2}  + 8x + 16

5 0
3 years ago
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