Answer:
Step-by-step explanation:
Product of slope of perpendicular lines = -1
6x + 5y = 30
Write this equation in y = mx + b form
5y = -6x + 30
y = 
Slope of this line m₁ = -6/5
m₁ * m₂ = -1
m₂ = -1÷m₁ = -1 * 
& (-6 , -7)
Equation of the required line: y - y₁ = m (x - x₁)
![y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2](https://tex.z-dn.net/?f=y%20-%20%28-7%29%20%3D%20%5Cfrac%7B5%7D%7B6%7D%28x%20-%20%5B-6%5D%29%5C%5C%5C%5Cy%20%2B%207%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B%206%20%2A%5Cfrac%7B5%7D%7B6%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B5%7D%7B6%7Dx%20%2B5-7%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B6%7Dx-2)
So volue of a cone=1/3 times (area of base[which is a circle]) times height
area of base=area of circle=pi time radius^2
area=pi times 5^2
area=pi times 25=25pi
1/3 times 25pi times 18
25pi times 18 times 1/3
25pi times 18/3
25pi times 6=150pi
the answer is 150π in^3 or 150π cubic inches or C
( to solve, aprox pi to 3.141592 an multiply 150 by 3.141592=471.239 in^3)
Answer:
A
Step-by-step explanation:
Find AB using the Law of Sine:
Thus:
Multiply both sides by sin(40)
AB = 31.0056916 ≈ 31.0 cm (nearest tenth)
Origin (0,0), x-axis left to right, y-axis up and down (vertical)
Answer:
y-24=m(x--4)
Step-by-step explanation:
point slope form:
y-y₁=m(x-x₁)
1) find the slope or "m" first:
slope formula: (y2-y1)/(x2-x1)
(-53-24)/7+4
-77/11=-7
slope=-7
so
y-y₁=-7(x-x₁)
y1=24
x1=-4
y-24=m(x--4)
hope this helps!
