Answer: -5
Step-by-step explanation:
Multilpy
x (-5 + 5 x (3)
Calculate
x (-5 - 15)
-
x 20
= -5
Answer:
x = 4
Step-by-step explanation:
a = i-2j
b = 2i-xj
1 = k•2
-2 = k•(-x)
=> 1/2 = k
=> (-2)/(-x) = k
=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4
Answer:
8 and 5/8
Step-by-step explanation:
The question is just subtraction of fractions. First, you subtract the whole numbers. 10-2=8. Then you subtract the fractions. To do this, you have to make them equivalent. Just multiply the 1/4 by 2 and you get 2/8. Now, 7/8 - 2/8 = 5/8. Your final answer is 8 and 5/8
Answer:
y = (x - 4)² - 25
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
y = (x + 1)(x - 9) ← expand factors using FOIL, thus
y = x² - 8x - 9
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
y = x² + 2(- 4)x + 16 - 16 - 9
= (x - 4)² - 25 ← in vertex form