Answer:
C. y = -3/2x + 2
Step-by-step explanation:
Step 1: Find slope of perpendicular line
<em>Take the negative reciprocal of the 1st equation</em>
m = -3/2
y = -3/2x + b
Step 2: Find <em>b</em>
-4 = -3/2(4) + b
-4 = -6 + b
b = 2
Step 3: Rewrite perpendicular line
y = -3/2x + 2
The 30 in. are converted to 2.5 feet
The sides:
(30 x 2.5) ÷ 2 = 37.5
37.5 + 37.5 = 75
Back:
2.5 x 6 = 15
Top:
30.1 x 6 = 180.6
180.6 + 75 + 15 = 270.6
So, you'll need about 3 quarts of stain
Answer:
-23
Step-by-step explanation:
6x4=-34+2=-23
Answer:
$162.5
Step-by-step explanation:
12.50x15= 187.5
187.5-25= 162.5
Answer:
y = 4x - 3
Step-by-step explanation:
(-2, -11) & (3, 9)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(9 - (-11)) / (3 - (-2))
Simplify the parentheses.
= (20) / (5)
Simplify the fraction.
20/5
= 4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.
9 = 4(3) + b
To find b, multiply the slope and the input of x(3)
9 = 12 + b
Now, subtract 12 from both sides to isolate b.
-3 = b
Plug this into your standard equation.
y = 4x - 3
This is your equation.
Check this by plugging in the other point you have not checked yet (-2, -11).
y = 4x - 3
-11 = 4(-2) -3
-11 = -8 - 3
-11 = -11
Your equation is correct.
Hope this helps!