The answer would be 144 inches, found by multiplying the length of the paper by the width.
The number is 79 that is prime
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
Answer:
-9
Step-by-step explanation:
What b represents here is the y intercept.
The first thing we will do here is to find the slope.
Mathematically;
m = (y2-y1)/(x2-x1)
Plugging the values;
m = (12-3)/(7-4) = 9/3 = 3
The equation can thus be written as;
y = 3x + b
To get b, we can use any of the points since they lie on the line
Let’s use point M
Substitute the values of x and y in the equation
3 = 3(4) + b
3 = 12 + b
b = 3-12 = -9