Answer:
[-8c]⁻¹ = x
Step-by-step explanation:
-8xc = 1
____ ___
-8c -8c
This, according to the Negative Exponential Rule [Reverse], is how you write this as a rational exponent. You bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:
b⁻ⁿ = 1\bⁿ
I am joyous to assist you anytime.
Answer:
y = - 
x + 
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 )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = 
x + 
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= - 
= - 
= - , thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 
+ c ⇒ c = - 2 + =
y = - x + ← equation of perpendicular line
Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
Answer:
3 and 4 x=25, y=29
Step-by-step explanation:
If you need a step by step explanation, I will edit this later.
Answer:
r= 2 √(15/π)
Step-by-step explanation:
Given that :
Area of circle =60sq cm
radius=√60/π
Hence the radius can be written as 2 √(15/π)
