Answer:
y = 1/2x + 5/2
P.S, this isn't geometry really. It's more like algebra :)
Step-by-step explanation:
Step 1: Find equation of line AB
m = (5 - 1)/(-2 - 0)
m = 4/-2
m = -2
y = -2x + 1
Step 2: Find slope of perpendicular line
<em>Take the negative reciprocal of line AB</em>
m = 1/2
y = 1/2x + b
Step 3: Find <em>b</em>
6 = 1/2(7) + b
6 = 7/2 + b
b = 5/2
Step 4: Rewrite perpendicular equation
y = 1/2x + 5/2
or
y = 0.5x + 2.5
One is a line segment ( it stops)( a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints) and the other is a line that keeps doing
Answer:
451 cm^3
Step-by-step explanation:
V = Bh (base area and height multiplied)
41 cm^2 x 11 cm = 451 cm^3
Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
