Answer:
1. -2, 2. -23, 3. 25
Step-by-step explanation:
1. -2+5x8/-12= step 1: add -2+5
-2+5=3 step 2: 3(8)
3x8= 24 step 3: 24/-12
24/-12= -2
2. -2(9-4)+3=? step 1: combine like terms -2(9) and -2(-4)
-18-8+3=? step 2: combine like terms
-26+3=? step 3: combine like terms
-23=?
3. 2x + 130=180 step 1: -130 on both sides
2x = 50 step 2: /2 on both sides
x = 25
For this case we have that by definition, the point-slope equation of a line is given by:

Where:
It is a point through which the line passes
m: It is the slope of the line
According to the data we have to:

Substituting:

Finally, the equation of the line is:

ANswer:

is the length both sides already or just on one side?
because if the 16ft. is only on one side, and the sum of the both sides are 32ft, i think the width of the rectangle must be 16ft, which means 8ft from the first side and 8ft from the second side.
but if the 16ft. is the sum of both sides, which means 8ft from the first length and 8ft from the second length, then the answer for the width is 16ft, for each side of the width. 16 for the first width, and 16 for the second width.
is my explanation too complicated?? sorry hehe.
First you get "y" by itself. To do so you divide 2 on both sides.
y = 3/2x + 5
To write an equation of a line that is PARALLEL to this equation, the slopes have to be the SAME. So the slope is 3/2.
You then use the equation:
y = mx + b
SInce you know "m" you plug it in.
y = 3/2x + b
Now you need to find b. To do so you plug in the point (2, -5) into this equation.
-5 = 3/2(2) + b
-5 = 3 + b
-8 = b
Finally you plug in b and you get your new equation.
y = 3/2x - 8
The answer is C,
as she uses SSS to prove its congruent, she uses sides instead of angles so option a and d is not correct. as it needs to prove triangle pqr is congruent to triangle sqr, its not necessary to prove PQ is equal to QR. so the answer is c