Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
Answer:
y=16x+36
Step-by-step explanation:
cleaning services start at $36 for one hour and add $16 to total price per hour.
16(1)+36=52
16(2)+36=68
16(3)+36=84
16(4)+36=100
find y=mx+b for line parallel to AB.
The line that is parallel will have the same slope as line AB:
the slope of line AB is
m=(8-3)/(-10-2)
=5/-12
=-5/12
Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).
at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.
To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so
4+4=8
Answer:
f(x) + g(x) = x^2 + 4x + 35
Step-by-step explanation:
Add like terms from f(x) and g(x):
f(x) + g(x) = x^2 + 3x + 28 + x + 7, or
f(x) + g(x) = x^2 + 4x + 35
Where is the picture of the triangle?