Answer:
(-2, -4.5)
Step-by-step explanation:
We can solve this equation with substitution.
x=2y+7
3x-2y=3
We can "substitute" 2y+7 for x into the second equation:
3(2y+7)-2y=3
Distribute the 3
6y+21-2y=3
Add like terms
4y+21=3
Subtract 21 from both sides
4y=-18
Divide both sides by 4 to isolate y
y=-4.5
Plug -4.5 back in for y:
x=2(-4.5)+7
x=-9+7
x=-2
(x,y)=(-2,-4.5)
This is problem #9. I'm not sure how to solve #10, although the solution may be found in a similar way.
The sum of the two short legs must be at least as long as the longest leg.
This requirement for a triangle is NOT met by the 2nd selection. Those lengths cannot be a triangle.
Answer:
7.5 ft
Step-by-step explanation:
divide 5 by 2 -- 5 ÷ 2 = 2.5
now multiply 2.5 by 3 -- 2.5 × 3 = 7.5