7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7
8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8
Answer:
4π ≈ 12.5663706144
Step-by-step explanation:
The circumference of a circle is 2πr, or 2*pi*radius
Suppose the circle has a diameter of 4 inches. A diameter is 2x the radius, of which we are looking for, therefore:
4÷2=<u>2 inches</u> (radius length)
Now that we have the radius, let us <u>substitute</u> to find the circumference:
2πr=
2π2=
4π≈
<u>12.5663706144</u>
<u></u>
<em>I hope this helped! Let me know if you have any further questions :)</em>
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
1) Negative five
-5 x 4 = -20
2) Negative eighty
-80 / -4 = 20
3) Negative 1/5
(-1/5) x (-20) = 4
4) Negative eighty
(-80) / 4 = -20
S = 2 * (pi) * r * h.....for r
divide both sides by 2 * pi * h
s / (2(pi)h = r
