6 feet * 7 feet = 42 feet²
18 feet * 21 feet = 378 feet²
42 feet² was painted for $52
1 feet² will be painted for $52/42
378 feet² will then be painted for: ($52/42) * 378
= $468
Hence 18 feet by 21 feet will be painted for $468
Hope this helps.
Answer:
y-intercept = -4
Step-by-step explanation:
equation of a line: y=mx+b
two points given are (5, -6.5) and (-12, 2)
first we can easily find value of m or the slope, by using the slope formula. the value of m=-0.5.
formua to find m: 
= -0.5
to find the value of b (the y-intercept), we need to plug in a y and x value, we are given 2 ordered pairs, you can use either one and plug x-value in for x and the y-value in for y.
if i plug in (5, -6.5), my equation looks like this: -6.5=5(-0.5)+b
then you just solve for b and it turns out to be -4.
Answer:
(7m + 10) yards of cloth was used
Step-by-step explanation:
This is a multiplication problem. Firstly, we are told that she sew m shirts and she used 2 yards of cloth for each of the shirts. The total amount of materials used here is m * 2 = 2m yards
She also sew another (m + 2) Shirts using 5 yards of materials for each of the shirts. The total amount of materials used is thus 5(m + 2) which equals (5m + 10) yards
The total amount of cloth used altogether is thus 2m + (5m + 10) = (7m + 10) yards of cloth
Hey there! :)
Answer:
y + 32 = 3(x + 8)
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
Plug in the coordinates of the points into the equation:
Simplify:
m = 3.
Point-slope form is:
y-y₁=m(x-x₁)
Plug in the coordinates of the first point, as well as the slope:
y - (-32) = 3(x - (-8)
y + 32 = 3(x + 8)
Answer:
2x + 3y = 4
Step-by-step explanation:
The standard form:
Ax + By = C
So from the given form, arrange it to the standard form.
First, simplify the form by distribution.
y + 6 = -2/3(x - 11)
y + 6 = -2/3x + 22/3
Next, you make the fractions into whole by multiplying both sides by 3(this would eliminate all fractions).
(3)y + 3(6) = 3(-2/3x) + 3(22/3)
3y + 18 = -2x + 22
Now, arrange the "Ax" and the "C's".
3y + 18 = -2x + 22
2x + 3y + 18 = 22
2x + 3y = 22 - 18
2x + 3y = 4
Cheers!
