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.
Answer:
x = 95
Step-by-step explanation:
Given that,
Jax scores on the last 5 tests are 78,92,86,94,95.
We need to find the score he need to have an average of 90.
The formula for average of few number is given by :
Average = sum of observations/total no of observation
Let he score x in test 6. So,

So, he must score 95 in the next test so that its average is 90.
Step-by-step explanation:
the area of this rectangle is
(10 + 2x)(8 + 2x) = 168
80 + 20x + 16x + 4x² = 168
4x² + 36x = 88
because for the whole length you need to add x twice (left and right). the same for the width (top and bottom).
im pretty sure you dont need exponents for this bud
3x-x-4x+4x
2x+0
2x
Answer:
(2b, 2b + 7).
Step-by-step explanation:
y = x + 7 and x = 2b ,
therefore y = 2b + 7.