Step-by-step explanation:
the general equation of a line is
y = ax + b
a is the slope of the line.
b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).
we get b by using the point coordinates in the equation and solve for b :
6 = -3×4 + b = -12 + b
18 = b
so, the full line equation is
y = -3x + 18
which is answer C : 3x + y = 18
Answer:

Step-by-step explanation:
The given functions are:

and

We want to find

Recall that:

This implies that:


We combine similar terms to get:

It’s A and B and then D and F
Answer:
x = 4
Step-by-step explanation:
(5x+131)° and (5x+19)° are supplementary. Therefore, (5x+19)° + (5x+131)° equals to 180°.
Knowing that, we can do the following:
- (5x+19) + (5x+131) = 180
- 5x + 19 + 5x + 131 = 180
- 10x + 140 = 180
- 10x = 40
- <em>x = 4</em>
Area of trapezoid formula:
A = 1/2(b1 + b2) h
A = 1/2(2.4 + 9)(8.2)
A = 1/2(11.4)(8.2)
A = 46.74 ml^2