Answer is =-1
implifying
-2x + 3 = -3x + 2
Reorder the terms:
3 + -2x = -3x + 2
Reorder the terms:
3 + -2x = 2 + -3x
Solving
3 + -2x = 2 + -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.
3 + -2x + 3x = 2 + -3x + 3x
Combine like terms: -2x + 3x = 1x
3 + 1x = 2 + -3x + 3x
Combine like terms: -3x + 3x = 0
3 + 1x = 2 + 0
3 + 1x = 2
Add '-3' to each side of the equation.
3 + -3 + 1x = 2 + -3
Combine like terms: 3 + -3 = 0
0 + 1x = 2 + -3
1x = 2 + -3
Combine like terms: 2 + -3 = -1
1x = -1
Divide each side by '1'.
x = -1
Simplifying
x = -1
Answer:
PR = 5 because LP + PR = LR according to the Segment Addition Postulate, and 7 + 5 = 12 using substitution
Step-by-step explanation:
The naming of the segments suggests that point P is between L and R, so that ...
LP + PR = LR
This corresponds to the last choice.
_____
<em>Comments on the alternate interpretation</em>
On the other hand, if point L is between P and R, then the segments are PL and LR. The Segment Addition Postulate would tell you that ...
PL + LR = PR
The Reflexive Property of Congruence would tell you that PL = LP. The Substitution Property would tell you LP can be substituted into this equation, making it ...
LP + LR = PR
and by the commutative property, ...
LR + LP = PR.
Multiple properties of addition and congruence are involved with this interpretation, which more or less matches the third choice. That is, the simple explanation of answer choice 3, by itself, is insufficient to explain why the length of PR should be considered to be 19, not 5.
Answer:
10
Step-by-step explanation:
18-8=10
Answer: Option A, the square root of 40, is an irrational number.
Step-by-step explanation:
We are given 4 options:
- the sqrt of 40
- the sqrt of 49
- the sqrt of 100
- the sqrt of 9
All but one are perfect squares. Let's find out which one is not a perfect square.
The sqrt of 49 is 7. 7 times 7 is equal to 49.
The sqrt of 100 is 10. 10 times itself is equal to 100.
The sqrt of 9 is 3. 3 times 3 is equal to 9.
What about the square root of 40?
We know it's not a perfect square, and it's somewhere between 6 and 7. So, the hint from the question tells us that imperfect squares are irrational. Then this must be the answer!
Answer:
It’s b.
Step-by-step explanation:
To get the slope of the line, you need to points. Two points you already have are (0,0) and (-5,6). So all you need to do is plug those points into slope equation (y1-y2 over x1-x2) 0-6 over 0+5 equals -6/5. The slope equals -6/5, and when you plug it into y=mx+b it equals y=-6/5x. Which is b.
