Answer:
y = 2x + 10
Step-by-step explanation:
Find the slope:
12 - 2 / 1 - (-4)
10 / 5 = 2
Write in point-slope form:
y - 12 = 2(x - 1)
rearrange:
y - 12 = 2x - 2
y = 2x + 10
Hi! I'm happy to help!
Our town is composed of 2,000 people. Of those 2,000 people, 4/5 of them are middle class. The word 'of' usually means multiplication when it is in a word problem. So, we will multiply 2,000 by 4/5. When multiplying a whole number, we just multiply it by the numerator (top) and leave the denominator. (bottom)
2,000×4
8,000
8,000/5
Fractions are just a different way of putting division, so we can change this to a division problem:
8,000÷5=
1,600
1,600 of the people are middle class.
I hope this was helpful, keep learning! :D
Answer:
a=7
Step-by-step explanation:
24^2+a^2=25^2
576+a^2=625
49=a^2
a=7
Here you go, hope it helps:)
Set up the following equations:


110 represents the lengths of the length and width of the triangle, as you'll divide total perimeter of the rectangle, 220, by 2 to find the individual lengths. 20 is the difference between the length and width.
We'll use elimination for this system of equations, as there are opposite coefficients for W in both equations. Combine the two equations:

Divide both sides by 2 to get L by itself:
The length of the rectangle is 65 feet.Plug this value into the second equation:

Add W to both sides:

Subtract 20 from both sides:
The width of the rectangle is 45 feet.