The area of a circle is given by
We can solve this equation for r: divide both sides by pi:
Consider the (positive) square root of both sides:
So, in your case, we have
Answer:
C) . y=(1/10)x+3
Step-by-step explanation:
Given the equation of the line is y=-10x+8
It is in the form of y=mx+c where m is the slope of the line. Now on comparision we get m1=-10.
We knoew that two lines are perpendicular iff the product of their slopes is equal to -1.
the slope of the recquired line =
=
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept
Given the y intercept of the recquired line (b)=3
The recquired line is
y=mx+b
y=(1/10)x+3
Isolate the z. Note the equal sign. Subtract 1/7z to both sides
1/7z (-1/7z) + 2 = -6/7z (-1/7z)
2 = -6/7z - 1/7z
Simplify. Combine like terms
2 = -7/7z
2 = -1z
Isolate the z. Divide -1 from both sides
(2)/-1 = (-1z)/-1
z = 2/-1
z = -2
-2 is your answer
hope this helps
<span>f(t) = 94*1.25992105^t
Since the value doubles every three years we want an X such that
X^3 = 2
Or in simpler terms, our growth rate is the cube root of 2. So lets get that. To calculate the nth root of a number you can take the logarithm of the number, divide by n, then get the anti-log. So
10^(log(2)/3) = 10^(0.301029996/3) = 10^0.100343332 = 1.25992105
Now the function becomes trivial. I'll use t as the number of years since the baseline capacity was calculated (94 thousand megawatts at t = 0). So
f(t) = 94*1.25992105^t</span>
Answer:
7/4 - 8/3 - |1/6 - 3/4|
criss cross both sides to find their respectively simplified forms.
let's do (7/4 - 8/3) first.
(4 × 8) - (7 × 3) / 3 × 4
= 32 - 21 / 12
= 11 / 12.
then simplify |1/6 - 3/4| by criss crossing the pure numbers inside the absolute value.
Remember, no number can get out of the absolute value while being negative.
= |6 × 3 - 4 / 24|
= |18 - 4 / 24|
= |14/24|
= | 7 × 2 / 12 × 2 |...cancel the 2's
= |7 / 12| --> 7/12
11 / 12 - 7 / 12
= 4 /12
= 4 × 1 / 4 × 3....cancel the 4's
= 1 / 3.
