Answer:
x = 9 ± √14
Step-by-step explanation:
x² − 18x + 67 = 0
Move the constant to the other side:
x² − 18x = -67
Take half of -18, square it, and add to both sides.
(-18/2)² = (-9)² = 81
x² − 18x + 81 = -67 + 81
x² − 18x + 81 = 14
Factor the perfect square:
(x − 9)² = 14
Solve for x:
x − 9 = ±√14
x = 9 ± √14
Red card because it is a fifty fifty chance for the colors but a 3 in 10 chance for a face card
Answer:
A. -12h² - 22h + 14
Step-by-step explanation:
(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc
= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)
= -12h² -28h +6h +14
= -12h² -22h +14 . . . . . . . . collect terms
Answer:
x = -15 or 15
Step-by-step explanation:
We can simplify |x| - 3 = 15 to |x| = 15 because we can add 3 on both sides due to -3 being outside of the absolute value bars. Next, we can say that x is either 15 or -15 because of the absolute value (|15| is equal to 15 and |-15| is also equal to 15).
Answer:
See below
Step-by-step explanation:
Y component of velocity is 70 sin 30°
y position = 3 + 70 sin 30° * t - 1/2 a t^2
when the ball hits the ground y = 0
0 = 3 + 70 sin 30° t - 1/2 (32.2)t^2
- 16.1 t^2 + 35t + 3 = 0
Use Quadratic Formula to find t = <u>2.26 seconds</u>
Horizontal component of initial velocity
70 cos 30° distance horizontal = 70 cos 30° * t
= 70 cos 30° (2.26) =<u> 137.0 ft</u>
