Answer:
G
Step-by-step explanation:
If c^2 > a^2 + b^2 then the triangle is obtuse.
If c^2 < a^2 + b^2 then the triangle is acute.
If c^2 = a^2 + b^2 then the triangle is a right triangle.
13. 7^2 __ 3^2 + 6^2
49 ___ 9 + 36
49 > 47 obtuse
14. 12^2 __ 4^2 + 11^2
144 ___ 16 + 121
144 > 137 obtuse
15. 26^2 ___ 24^2 + 10^2
676 ___ 576 + 100
676 = 676 right triangle
16. 15^2 ___ 12^2 + 9^2
225 ___ 144 + 81
225 = 225 right triangle
17. 31^2 __ 30^2 + 10^2
961 ___ 900 + 100
961 < 1000 acute triangle
18. 12^2 ___ 7^2 + 7^2
144 ___ 49 + 49
144 ___ 98
144 > 98 obtuse
Answer:
(3, -3)
Step-by-step explanation:
To solve for a system of equations, use substitution.
First, solve for one variable in an equation.
2x - 3y = 15
Add 3y to both sides.
2x = 3y + 15
Divide both sides by 2 to get x by itself.
x = 1.5y + 7.5
Put this in the other equation.
5x + 2y = 9
Substitute the variable.
5(1.5y + 7.5) + 2y = 9
Distribute the 5 inside the 1.5y + 7.5.
7.5y + 37.5 + 2y = 9
Combine like terms.
9.5y + 37.5 = 9
Subtract 37.5 from both sides.
9.5y = -28.5
Divide both sides by 9.5.
y = -3.
Now take this value and put it in the other equation to get your x.
2x - 3y = 15
Substitute variable.
2x - 3(-3) = 15
Multiply.
2x + 9 = 15
Subtract 9 from both sides.
2x = 6
Divide both sides by 2.
x = 3.
Your pair is (3, -3).
Answer:
16
Step-by-step explanation:
You plug in the value of y into the expression:
5(2) + 3(2)
10 + 6 = 16
Answer:
37/100 is already simplified, as a decimal 37/100 is 0.37 and as a percentage 37/100 is 37%
