Answer:
1). Option A
2). Option B
Step-by-step explanation:
Question 1
Rule for the dilation of a point by a scale factor 'k' is given by the rule,
(x, y) → (kx, ky)
By this rule image of point A when dilated by the scale factor = 1.25,
A(-12, -8) → A'[(-12 × 1.25), (-8 × 1.25)]
→ A'(-15, -10)
Option A will be the answer.
Question 2
Scale factor = 
From the figure attached,
Scale factor = 
= 
= 
Therefore, rule for the dilation of ABC to form image triangle A'B'C' will be,
(x, y) → 
Option B will be the answer.
Well if you dont add any decimals then this should start you out. (200+100)- 1500 = n
Answer:
We'll use 3.14 as an approximation of pi. So, now we plug the values into the equation. A = 3.14 * 8^2/2.
Answer:
41.02 meters.
Step-by-step explanation:
See the attached diagram.
The distance between the goals of a soccer field is 52 meters. Each goal has a box that extends 5.49 meters into the field.
If the distance from the front of the box at one end of the field to the front of the box at the other end of the field is x meters, then we can write the equation as
5.49 + x + 5.49 = 52
⇒ x + 10.98 = 52
⇒ x = 41.02 meters. (Answer)
