Answer:
y = 1/2x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
When 2 lines are parallel, they have the same slope.
Step 1: Define variables
Random point (2, 6)
<em>m</em> = 1/2
y = 1/2x + b
Step 2: Find <em>b</em>
6 = 1/2(2) + b
6 = 1 + b
5 = b
Step 3: Rewrite parallel linear equation
y = 1/2x + 5
P = 4(2x^2 + 1)...when x = 3.5
P = 4(2(3.5^2) + 1
P = 4(2(12.25) + 1
P = 4(24.5 + 1)
P = 4(25.5)
P = 102 inches <===
Answer:
Perimeter = 90
Step-by-step explanation:
Let c = hypotenuse, 15 = b, and a = other leg
Given: c/a = 13/12, so a = 12c/13.
c^2 = b^2+a^2
Using Pythagorean Theorem: c^2 = 225 + 144c^2/169.
169c^2 = 169(225) + 144c^2
25c^2 = 169(225)
5c = 13(15)
c = 13(3) = 39.
and a = 12*39/13 = 12*3 = 36
You now can compute all three sides, and
thus obtain perimeter = 36+39+15 = 90.