Answer:
x=3
y=3
Step-by-step explanation:
x = 6-y
-plug in (6-y) into first equation
2(6-y)+3y = 15
12-2y+3y=15
-2y+3y = 3
y=3
x=6-3
x=3
double check:
(2*3) + (3*3) = 6 + 9 = 15
3 + 3 = 6
Answer:
3 units up
Step-by-step explanation:
when the y intercept goes u, so does the line
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 <em>(note: the y-intercept can also be found when x=0, for example (0,9).</em>
Hope this helped, good luck!
Answer:
x = 12
Step-by-step explanation:
Pythagorean triplet
12,16,20
So, the value of x is 12
x + 256 = 400
x = 400 - 256
x = 144
The square of 12 is 144
If she was to volunteer 32 hours and it is worth 20%, then that means 32 hours is 1/5 of her yearly hours. If you were to multiply her volunteer hours by five, then you are getting the year number of hours she has volunteered.
32 x 5 = 160
So, she volunteers 160 hours this year.