In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC and AB have any negative reciprocals.Lets find the slopes .
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1
Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle
I'm NOT 100% confident in my answers.
Graph 1:
Range: Option B
Graph 2:
Range: Option A
The range has to start at zero since that's the lowest point we can go, only one with zero is first option.
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Answer: 40:27
Step-by-step explanation: 80:54 / 2:2 = 40:27
D) 8.17 x 10^8
910000000 - 93000000 = 817000000
817000000 ---> 8.17 x 10^8
Add the balance and allotment:
22.90 + 50.00 = 72.90
This is how much she can actually spend.
She spent 85.50.
Subtract the two:
85.50 - 72.90 = 12.60
Since she spent more than she actually could be balance would be a negative number.
The balance would be - $12.60