Answer:
8x - 6
Step-by-step explanation:
5x - 2 - (-3x + 4)
1) Distribute
5x - 2 + 3x -4
2) Combine like terms
8x - 6
Formula for distance between two points:
d = √((x₂-x₁)² + (y₂-y₁)²)
Let point 1 be (-3, 11) and point 2 be (5, 5)
Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.
d = √((x₂-x₁)² + (y₂-y₁)²)
= √((5- -3)² + (5-11)²)
= √((5+3)² + (5-11)²)
= √((8)² + (-6)²) 8² = 8*8 = 64, (-6)² = -6*-6 = 36
= √(64 + 36)
= √(100)
= 10
Distance = 10 units.
Answers:
22.)D
23.)D
How?
Explaining number 22:
Well, let’s disprove each one of them.
A.) A is saying 6x=7. Even if we simplify that, it wouldn’t make any sense in what we are trying to do. That equation is equal to x=0.86(estimated to nearest tenth)
B.) B says that 6x=3. When we simplify this, we get x=0.5. That isn’t the number we want, so we know B isn’t right
C.) C is equivalent to 2x+2=6. Let’s simplify since it is multi-step.
2x+2=6
2x=6
x=3
Since we want x to be six, this wouldn’t be the answer either.
D.) D is saying 2x=12. When simplified, this becomes x=6. BINGO THERE IS OUR ANSWER
Explaining 23:
For this, I also used process of elimination.
Remember that x is equal to 2.5
A.)
x+3=5.5
2.5+3=5.5
5.5=5.5
That works.
B.)
2x=5
2(2.5)=5
5=5
That works.
C.)
2.5/2=1.25
1.25=1.25
That works
D.)
x-10=7.5
2.5-10=7.5
-7.5=7.5
THAT DOESNT WORK THERE IS OUR ANSWER
Answer:
h = -9
Step-by-step explanation:
Simplifying
5h + 22 + -2h = -5
Reorder the terms:
22 + 5h + -2h = -5
Combine like terms: 5h + -2h = 3h
22 + 3h = -5
Solving
22 + 3h = -5
Solving for variable 'h'.
Move all terms containing h to the left, all other terms to the right.
Add '-22' to each side of the equation.
22 + -22 + 3h = -5 + -22
Combine like terms: 22 + -22 = 0
0 + 3h = -5 + -22
3h = -5 + -22
Combine like terms: -5 + -22 = -27
3h = -27
Divide each side by '3'.
h = -9
Simplifying
h = -9
Subtract 59 from both sides, you get x=-179
