Change these equations into the equations of linear functions.

Draw function graphs and read coordinates of the intersection.
Answer:
Step-by-step explanation:
In order to write the equation of the line in point-slope form that goes through those points, we need to know the slope of that line. Therefore,
So the slope is 2. Now we'll pick a point and use it to write an equation in point-slope form. I'll use the first point given to see if that's the one used in any of the answers : (10, 5)
y - 5 = 2(x - 10). That's choice B. Let's see, just in case there are 2 answers to this, what the equation would be using the other point (4, -7):
y - (-7) = 2(x - 4) and simplified:
y + 7 = 2(x - 4) is the other equation. Since that's not a choice, the only answer is B
Answer:
5
Step-by-step explanation:
g(x) = 2 - 3x
g(-1) = 2 - 3(-1)
g(-1) = 2 + 3
g(-1) = 5
Divide 5821 by 71
Round the number to the nearest hundred
5821 ÷ 71 → 5800 ÷ 70
Calculate mentally.
58 ÷ 7=8.2
Estimated quotient = 8
Answer:
base = 28 inches ad height = 9 inches
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h the height )
Let height = h then b = 2h + 10 = 2(h + 5) and A = 126, thus
2(h + 5) × h = 126, that is
h(h + 5) = 126 ← distribute left side
h² + 5h = 126 ( subtract 126 from both sides )
h² + 5h - 126 = 0 ← in standard form
(h + 14)(h - 9) = 0 ← in factored form
Equate each factor to zero and solve for h
h + 14 = 0 ⇒ h = - 14
h - 9 = 0 ⇒ h = 9
However, h > 0 thus h = 9
height = 9 inches and base = (2 × 9) + 10 = 18 + 10 = 28 inches