Answer:
a=8 b=6
Step-by-step explanation:
Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100
so a^2+b^2=100
8^2+6^2=100
64+36=100 ✔
and since A is longer than B, a=8, b=6
Answer:
1st Blank: 5
2nd Blank: 3
3rd Blank: -8
4th Blank: -8
5th Blank: 12
Step-by-step explanation:
15x+35y=-100
-15x+9y=-252
___________
44y=-352
___ ___
44 44
y=-8
3x+7(-8)=-20
3x-56=-20
+56 +56
__________
3x=36
__ __
3 3
x=12
4=5x-3
<span>7=5x </span>
<span>7/5=x </span>
<span>1.4=x</span>
Answer:
x = -6
Step-by-step explanation:
Simplifying
5x + 7 = 3x + -5
Reorder the terms:
7 + 5x = 3x + -5
Reorder the terms:
7 + 5x = -5 + 3x
Solving
7 + 5x = -5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
7 + 5x + -3x = -5 + 3x + -3x
Combine like terms: 5x + -3x = 2x
7 + 2x = -5 + 3x + -3x
Combine like terms: 3x + -3x = 0
7 + 2x = -5 + 0
7 + 2x = -5
Add '-7' to each side of the equation.
7 + -7 + 2x = -5 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = -5 + -7
2x = -5 + -7
Combine like terms: -5 + -7 = -12
2x = -12
Divide each side by '2'.
x = -6
Simplifying
x = -6
Answer: 4 minutes
Step-by-step explanation:
1/3 of 60 = 20
20 * 12 = 240
240 / 60 = 4 minutes