The answer could be 11.8L
If rounded 12L
Answer:
(-6, 6)
Step-by-step explanation:
The coordinates of B to start with is
(-2, 2)
To dilate this by a factor of 3....
-2 * 3 = -6
2 * 3 = 6
The new coordinates of B' would be
(-6, 6)
A few things to know:
- The number 3 is called a "<u>scale factor</u>"
- Dilation means we are multiplying all the (X, Y)'s by the scale factor
- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases
- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases
- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.
Answer:
x = $0.50
y= $0.75
Step-by-step explanation:
1. Multiply the equations to have the same coefficients
5(6x + 6y = 7.5) → 30x + 30y = 37.5
3(10x + 5y = 8.75) → 30x + 15y = 26.25
2. Subtract the equations
30x + 30y = 37.5
<u>- 30x + 15y = 26.25</u>
15y = 11.25
3. Solve for y by dividing both sides by 15
y = 0.75
4. Plug in 0.75 for y into one of the equations
6x + 6(0.75) = 7.5
5. Simplify
6x + 4.5 = 7.5
6. Solve for x
6x = 3
x = 0.5
A) The coordinates of R is (-8,9)
B) The length of RS to the nearest tenth of a unit is 17.9
