Answer: the solutions are
x = 3 or x = - 11
Step-by-step explanation:
The given quadratic equation is expressed as
y = 2x² + 16x - 66 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 2
b = 16
c = - 66
Therefore,
x = [- 16 ± √(16² - 4 × 2 × - 66)]/2 × 2
x = [- 16 ± √(256 + 528)]/4
x = [- 16 ± √784]/4
x = (- 16 + 28)/4 or x = (- 16 - 28)/4
x = 12/4 or x = - 44/4
x = 3 or x = - 11
Answer:
c
Step-by-step explanation:
It is in both of the equations at the top.
Radius= 25 feet
hence , area= pi x 25 x 25 = 1964.29
in short, your answer is 1964.30 feet^2
Answer:
We verify: a < b + c; b < a + c; c < a + b;
Only a = 9, b = 12, c = 7 verify the conditions: 9 < 19; 12 < 16; 7 < 21;
The correct answer is D.
Step-by-step explanation:
so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)
(7-(-2))/(0-8)
simplify
9/-8
simplify -9/8
now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.
y=mx+b
-2=(-9/8)(8)+b
multiply (-9/8) by 8 to get -9
-2=-9+b
add 9 to both sides
7=b
so our equation is now
y=-(9/8)x+7