Answer:
Part 1) -7 →
Part 2) 3/2 →
Part 3) 1 → 
Part 4) -1/4 → 
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
we know that
To find out the non permissible replacements for y, equate the denominator of each expression equal to 0.
step 1
we have

Equate (2y-3) equal to 0.

solve for y
Adds 3 both sides.

Divide both sides by 2.

therefore
3/2 is the non permissible replacement for y.
step 2
we have

Equate (4y+1) equal to 0.

Subtract 1 both sides

Divide by 4 both sides

therefore
-1/4 is the non permissible replacement for y.
step 3
we have

Equate -5(y-1) equal to 0.

Divide by -5 both sides

Adds 1 both sides

therefore
1 is the non permissible replacement for y.
step 4
we have

Equate -2(y+7) equal to 0.

Divide by -2 both sides

Subtract 7 both sides

therefore
-7 is the non permissible replacement for y
Answer: 231
Step-by-step explanation:
We have that
the measure of angle ∅=7*pi/6
the measure of its reference angle is?
remember that pi=180°
then
7*pi/6=7*180/6=210°------------> III Quadrant
Part A) its reference angle is 210°-180°=30°
Part B) sin(30°)=-0.5--------> negative because belongs III quadrant
a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
Gradient is the slope
So slope of the line =-2
Slope of parallel line is equal to the slope of the line
So slope of parallel line = -2
Slope of perpendicular line is equal to negative reciprocal of slope of the line
We know slope of line = -2
Negative reciprocal = 
So , Slope of perpendicular line= 
Answer:
2.5
Step-by-step explanation:
10/1 * 1/4 = 2.5