Answer:
ΔABC was translated right 4 units and down 4 units.
Step-by-step explanation:
A' - A = (3, -2) -(-1, 2) = (3+1, -2-2) = (4, -4)
So, the transformation is (x, y) ⇒ (x +4, y -4).
Adding these values to a coordinate pair causes it to be translated to the right 4 units (x is increased by 4) and down 4 units (y is decreased by 4).
404 error: graph not found
anyway, the graph was not included. since the sleep time was included, I will assume that the circle graph is worth 24 hours
all we need to do is to convert the percentages to fractions and multiply that by 24 to find out how many hours per activity
percent means parts out of 100 so x%=x/100
so we have
School
Eating
Sleep
Homework
Free Time
School=25%
25%=25/100=1/4
1/4 times 24=6
School: 6 hours
Eating=10%
10%=10/100=1/10
1/10 times 24=2.4
Eating: 2.4 hours
Sleep=40%
40%=40/100=4/10=2/5
2/5 times 24=48/5=9.6
Sleep: 9.6 hours
Homework=10%
10%=10/100=1/10
1/10 times 24=2.4
Homework: 2.4 hours
Free Time=15%
15%=15/100=3/30
3/20 times 24=72/20=36/10=3.6
Free Time: 3.6 Hours
Answers:
School: 6 hours
Eating: 2.4 hours
Sleep: 9.6 hours
Homework: 2.4 hours
Free Time: 3.6 Hours
Hi there!
So, our two equations are:
2x + 3y = 20 and
-2x + y = 4
We can see that the x's will cancel out because they're the same number, opposite signs. Then we're left with 4y = 24.
Divide 24 by 4, which is 6.
y = 6, then we plug that in to the first equation for y:
2x + 3(6) = 20
2x + 18 = 20
2x = 2
x = 1
So, she made her first mistake when adding the equations, adding 20 and 4, she somehow got 16.
The solution to the system is (1,6).
I hope I helped!
(2x - y = -2)2
5x - 2y = -7
4x - 2y = -4
Subtract both
x = -3
5(-3) - 2y = -7
-15 - 2y = -7
-2y = 8, y = -4
Solution: (-3,-4)
