The two lines intersect at (-3,4)
-2/3X+2= -2X-2
Add 2X to both sides
Subtract 2 from both sides
Divide both sides by 4/3
You get X=-3
Plug in 3 to one of the equations and you’ll see that y= 4
Answers:
- x = 4
- AB = 36
- BC = 36
- AC = 36
All three sides are 36 units long.
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Explanation:
Triangle ABC is equilateral, so all three sides are the same length.
Pick any two of those sides, set them equal to each other, and solve for x
AB = BC
8x+4 = 11x-8
8x-11x = -8-4
-3x = -12
x = -12/(-3)
x = 4
Use this x value to find each side. We should get the same value (if not, then an error occurred in solving for x).
- AB = 8x+4 = 8*4+4 = 32+4 = 36
- BC = 11x-8 = 11*4-8 = 44-8 = 36
- AC = 9x = 9*4 = 36
We get the same value for the three side lengths, so this confirms we have the correct x value.
Answer:
1 week
Step-by-step explanation:
Given:
p = 12w
Where,
w = number of weeks the office has been on the new recycling plan
p = total kilograms of paper recycled.
How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?
Find w when p = 12
p = 12w
12 = 12w
Divide both sides by 12
w = 12/12
= 1
w = 1 week
Answer:
The scale factor would be 1/2.
Step-by-step explanation:
2 of the sides both are 4 units.
If you go to figure B, it got smaller.
So in this case, you would divide.
On figure B, 2 of the sides are 2 units.
If you did it in reverse, you would get 2 because 2 times 2 is 4.
But we divide, so 4/2 is 2, so the scale factor would be:
1/2
Hope this helped!
And brainliest pls :)
Answer:
Expected value would be $ 0.896
Step-by-step explanation:
Given,
The price of the lottery ticket = $44800000,
Also, the probability of winning the grand prize = .000000020,
Thus, the expected value of the lottery ticket = value of the lottery ticket × probability of getting the lottery ticket
= 44800000 × .000000020
= $0.896
Note : value of lottery ticket = prize amount - cost of each ticket,
Here the cost price of a ticket is not given,
That's why we did not consider it.
