It is 10 because of the equation on the left
It is a positive-slope parabola with vertex of (0,16) "concave up"
Answer:
A) x - 4
B) x² - 4x
C) x³ - 2x² - 8x
D) 2x³ + 3x² - 32x + 15
Step-by-step explanation:
A)
x-intercepts: x = 4
Factors:
(x - 4)
B)
x-intercepts: x = 4, 0
Factor:
(x - 0)(x - 4)
x² - 4x
C)
x-intercepts: x = 4, 0, -2
Factor:
(x - 0)(x - 4)(x + 2)
(x² - 4x)(x + 2)
x³ - 4x² + 2x² - 8x
x³ - 2x² - 8x
D)
x-intercepts: x = 3, ½, -5
Factor:
(x - 3)(2x - 1)(x + 5)
(2x² - 6x - x + 3)(x + 5)
(2x² - 7x + 3)(x + 5)
2x³ - 7x² + 3x + 10x² - 35x + 15
2x³ + 3x² - 32x + 15
They are right triangles so you can use the Pythagorean theorem.
A = sqrt(5^2+3^2)
A = sqrt(25+9)
A = sqrt(34) (exact answer)
As a decimal it would be: 5.8
B = 45 = sqrt( 20^2 + b^2)
B^2 = 45^2-20^2
B^2 = 2025-400
B^2 = 1625
B = sqrt(1625)
B = 5sqrt(65) exact answer
As a decimal : 40.3