Answer:
y =
Step-by-step explanation:
with the point slope form, plug -9 (x coordinate) into x1, -3 (y coordinate) into y2, and -4/3 (slope) into m
y - y2 = m(x - x1)
y - (-3) = -4/3 (x - (-9))
y + 3 = -4/3 (x + 9)
y + 3 = -4/3 x + -12
y = -4/3 x - 12 - 3
y =
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find</u>
- Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9
- Combine like terms: (f + g)(x) = 5x + 3
Your trying to rearrange the equation with v were the r was.
2( v - h ) / k = r
2( v - h ) k / k = rk
2( v - h ) = rk
2( v - h ) / 2 = rk / 2
v - h = rk / 2
v - h + h = rk / 2 + h
v = rk / 2 + h
Answer: see below
<u>Step-by-step explanation:</u>
12) 2(x + 4) = 8
<u> ÷2 </u> <u> ÷2 </u>
x + 4 = 4
<u> -4 </u> <u> -4 </u>
14) 4w - 2(1 - w) = -38
4w -2 + 2w = -38
(4w + 2w) - 2 = -38
6w - 2 = -38
<u> +2 </u> <u> +2 </u>
6w = -36
<u> ÷6 </u> <u> ÷6 </u>
16) 10(1 - 2y) = -5(2y - 1)
10 - 20y = -10y + 5
<u> +20y </u> <u>+20y </u>
10 = 10y + 5
<u> -5 </u> <u> -5 </u>
5 = 10y
<u> ÷10</u> <u> ÷10 </u>
Below is a labeled rectangle:
length = w + 20
we know length is 36 so we plug that in:
36 = w + 20
We need to isolate w and to do that we must subtract 20 from both sides:
(36 - 20) = w + (20 - 20)
16 = w + 0
w = 16
width is 16 feet
Hope this helped!