Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x - 3 is in this form
with slope m = 
• Parallel lines have equal slopes, hence
y =
x + c ← is the partial equation
To find c substitute (14, 4) into the partial equation
4 = 8 + c ⇒ c = 4 - 8 = - 4
y =
x - 4 ← equation of parallel line
7. 8+7=15 and 15/2=7.5 BUT they are asking for FULL LESSONS so it cannot be a decimal. Therefore it is 7.
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
Area of the square = 72.25


Side = 8.5 in
Perimeter = 4 × side
Perimeter = 4 × 8.5 in
Perimeter = 34 in