We can use 3 facts:



So, to find our x and our y we can do:
So, now that we know our x and our y we can find our r.

You'll notice, though, that there were two solutions for
, which means we have a positive and a negative for our x. So:

Answer:
The model is 6 inches tall.
Step-by-step explanation:
Write and solve an equation of ratios:
10 in. x
--------- = ----------
40 ft. 24 ft.
Cross-multiplication yields:
240 in = 40x, so x = 6 inches.
The model is 6 inches tall.
The measure of angle DCE is C: 34.
Step-by-step explanation:
The slope of given line is 4.
So the slope of line perpendicular to it will be -1/4.
So the equation is
(y-10) = - 1/4 (x-4)
4y-40 = 4 - x
x+4y=44
Answer:
Step-by-step explanation:
This is called a 'System of equations'.
Say that you have these two expressions, and the unknown is "b".
5b = y
4b+2 = y
Now we can solve two ways; graph it or solve it.
Solving it, we can see that they both equal y, so:
5b=4b+2
move 4b to the left side by subtraction:
(5b-4b) =2
b = 2
let's see what y equals when b = 2
5 * 2 = y
10 = y
Graphing it we see they intersect, or solve at
(2,10) or b=2, y=10
Hope this helps!