David made a class banner out of a large rectangular piece of paper. He cut a
1 answer:
Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
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now we can combine like terms on each side with the x's cancelling and get
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so now we substitute y and get
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so now our FINAL ANSWER IS
(-17,-1)
we are given the following system of equations
if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so
simplify and we get
now we can combine like terms on each side with the x's cancelling and get
now divide off -35
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use
so now we substitute y and get
now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)