Answer:
y = 4(x + 11)² - 484
Step-by-step explanation:
y = 4x² + 88x
factor the expression
y = 4(x² + 22x)
complete the square
y + ? = 4(x² + 22x + ?)
y + ? = 4(x² + 22x + 121)
add 4 • 121 to the left side
y + 4 • 121 = 4(x² + 22x + 121)
multiply
y + 484 = 4(x² + 22x + 121)
y + 484 = 4(x + 11)²
subtract both sides by 484
y = 4(x + 11)² - 484
Answer: Right angled triangles and parallelograms; Pythagorean triplets, triangles meet maths; Shadows and right triangles (radius of the Earth). The right ...
Step-by-step explanation:
Answer:
x = 69.44
Step-by-step explanation:
We have, 36% × x = 25
or, 36/100 × x = 25
Multiplying both sides by 100 and dividing both sides by 36,
we have x = 25 × 100/36
x = 69.44
If you are using a calculator, simply enter 25×100÷36, which will give you the answer.
$20.00 - 15.24 = 4.76
4.76 Is the change liz get back from a twenty dollar bill.
Answer:
16 quarters
30 pennies
Step-by-step explanation:
q= quarters
p=pennies
set up a system of equations. One equation is for total value, the other is total # of coins.
q + p = 46
0.25q + 0.01p = 4.30 -> multiply this equation by 4 so you can subtract from the top equation
q + P =46
1q + 0.04p = 17.20
subtract the bottom equation from the top
0.96p = 28.8
divide by 0.96
p=30
substitute p in the top equation
q + 30 = 46
subtract 30 from both sides
q = 16