Answer:
Step-by-step explanation:
(-6 , 4) & (-1 , 2)
Slope = 
![= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2-4%7D%7B-1-%5B-6%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-2%7D%7B-1%2B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-2%7D%7B5%7D)
m = -2/5 & (-6 , 4)
y -y1 = m(x -x1)
![y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}](https://tex.z-dn.net/?f=y%20-%204%20%3D%20%5Cfrac%7B-2%7D%7B5%7D%28x%20-%20%5B-6%5D%29%5C%5C%5C%5Cy%20-%204%20%3D%20%5Cfrac%7B-2%7D%7B5%7D%28x%20%2B%206%29%5C%5C%5C%5Cy%20-%204%20%3D%20%5Cfrac%7B-2%7D%7B5%7Dx%20%2B%206%2A%5Cfrac%7B-2%7D%7B5%7D%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B-2%7D%7B5%7Dx%20-%5Cfrac%7B12%7D%7B5%7D%2B4%5C%5C%5C%5Cy%3D%5Cfrac%7B-2%7D%7B5%7Dx-%5Cfrac%7B12%7D%7B5%7D%2B%5Cfrac%7B4%2A5%7D%7B1%2A5%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-2%7D%7B5%7Dx-%5Cfrac%7B12%7D%7B5%7D%2B%5Cfrac%7B20%7D%7B5%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B-2%7D%7B5%7Dx%2B%5Cfrac%7B8%7D%7B5%7D)
Answer:
1 ⁷/₈ in
Step-by-step explanation:
that is exactly 1 ⁷/₈ in
The answer is “x”. “x” represents the missing number in the problem.
Example:
16+x=20
The missing number, 4, would be represented as x. Hope this helps!
Answer:
(Explanation)
Step-by-step explanation:
Part A:
The graph of y = + 2 will be translated 2 units up from the graph of y = .
If you plug in 0 for x, you get a y-value of 2. The 2 is also not included with the , which is why it doesn't translate left.
This is what graph A should look like:
[Attached File]
Part B:
The graph of y = - 2 will be translated 2 units down from the graph of y = .
If you plug in 0 for x, you get a y-value of -2. The 2 is also not included with the , which is why it doesn't translate right.
This is what graph B should look like:
[Attached File]
Part C:
The graph of y = 2 is a stretched version of the graph y = . Numbers that are greater than 1 stretch and open up and numbers less than -1 stretch and open down.
This is what graph C should look like:
[Attached File]
Part D:
The graph of y = 
is a compressed version of the graph y = . Numbers that are in-between 0 and 1, and -1 and 0 are compressed.
This is what graph D should look like:
[Attached File]
Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
