Answer:
36 inches
Step-by-step explanation:
12 inches equals 1 foot
There is 3 feet in a yard
2 yards equals 6 feet
1 yard equals 36 inches
It should be 12 ft away from the wall. Not 4 ft. You do not just subtract the difference because as you pull it away from the wall, the ladder is mostly moving horizontally with only a small vertical change.
You can use Pythagorean Theorem to find the answer. Think of the ladder as the hypotenuse of a right triangle with the wall and the ground as the legs.
a^2 + b^2 = c^2
16^2 + b^2 = 20^2
b^2 = 20^2 - 16^2
b^2 = 144
b = 12 ft
Answer:
a. 5
b. -3
Step-by-step explanation:
a. (5*(8^1/3 + 27^1/3)^3)^1/4
= ((40^1/3 + 135^1/3)^3)^1/4
≈ ((3.42 + 5.13)^3)^1/4
≈ (8.55^3)^1/4
≈ 625^4
= 5
b. 64^-1/3*(64^1/3 - 64^2/3)
= 0.25*(4 - 16)
= 1/4 or 0.25 *-12
= -12*1 / 4
= -12/4
= -3
Hope this helped :3
VERTEXTo determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex =
y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex =
x vertex =
x vertex =
x vertex = 1
To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49
The vertex is (1, -49)X-INTERCEPTx-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)The answer is first option