Answer:
B: y = 2x² - 16x + 40
Step-by-step explanation:
You can find this simply by expanding the given function:
y = 2(x - 4)² + 8
y = 2(x² - 8x + 16) + 8
y = 2x² - 16x + 32 + 8
y = 2x² - 16x + 40
Answer:
-12 < p
Step-by-step explanation:
28 > 4 – 2p
Subtract 4 from each side
28-4 > 4-4 – 2p
24 > -2p
Divide each side by -2, remembering to flip the inequality
24/-2 < -2p/-2
-12 < p
Answer:
32.5 square feet
Step-by-step explanation:
The formula for a trapezoid is a= 1/2*(b1+b2)*h. B1 and b2 would represent the two bases given and therefore doesn't matter what order you put them in. Plug in all values into the equation and you'll get 1/2*(5+8)*5 then 1/2*(13)*5. Next simplify to get 6.5*5 which then equates to 32.5.
Step-by-step explanation:
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Solution:
We have: In the attached image, observe rectangle triangle ΔBAD
Use the Pythagorean Theorem:
BD = √(AB² + AD²)
BD = √(2² + 4²)
BD = √(4 + 16)
BD = √20
In the attached image, observe rectangle triangle ΔBDH
Use the Pythagorean Theorem:
BH = √(BD² + DH²)
BH = √(√20² + 5²)
BH = √(20 + 25)
BH = √45
BH = √(9 × 5)
BH = √9 × √ 5
BH = 3√5
BH = 3 × 2.24
BH = 6.72 cm