If B went from (1, 5) to (-3, 2), that means it was shifted down 4 units and left 3 units. So for each of the other points, we subtract 4 from the x value, and subtract 3 from the y value. Point A is (-3, -4), moving this by subtracting 4 from x and 3 from y, we get A'(-7, -7). Point C was (4, 1), subtract 4 and 3, leaving C'(0, -2).
So A'(-3, -4), B'(-3, 2) and C'(0, -2)
9514 1404 393
Explanation:
<u>Statement</u> .... <u>Reason</u>
( ) .... Given (repeat of the given statements)
ΔACB ≅ ΔDCE .... SAS postulate
BA ≅ ED .... corresponding parts of congruent triangles are congruent
<span>y = 3x² + 18x
factor out the leading coefficient
y = 3(x²+6x)
Complete the square
coefficient of the x term: 6
divide it in half: 3
square it: 3²
use 3² to complete the square:
y = 3(x²+6x + 3²) - 3·3²
= 3(x+3)² - 3·3²
= 3(x+3)² - 27
vertex (-3, -27)</span>
Answer:
x=−12/5
Step-by-step explanation:
2(1.5x−2)=−0.5(−4x−32)
Step 1: Simplify both sides of the equation.
−2(1.5x−2)=−0.5(−4x−32)
(−2)(1.5x)+(−2)(−2)=(−0.5)(−4x)+(−0.5)(−32)(Distribute)
−3x+4=2x+16
Step 2: Subtract 2x from both sides.
−3x+4−2x=2x+16−2x
−5x+4=16
Step 3: Subtract 4 from both sides.
−5x+4−4=16−4
−5x=12
Step 4: Divide both sides by -5.
−5x−5
=12/−5
x=−12/5
Answer:
36/16
Step-by-step explanation:
