Answer:
s + 16 ≤ −80
Step-by-step explanation:
Analyze each part in the word equation:
"16 more than s" s increased by 16; s + 16
"is at most" is equal to or less than; ≤
"−80" -80
Put the equation back together:
s + 16 ≤ −80
If the height is h, then h/65=sin70, so h=65sin70=61.08m approx.
So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!
Answer:
![y = -\frac{1}{5}x -1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20-1)
Step-by-step explanation:
Given
The attached graph
Required
Determine the line equation
First, list out two points from the graph
![(x_1,y_1) = (-5,0)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%28-5%2C0%29)
![(x_2,y_2) = (0,-1)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%280%2C-1%29)
Next, calculate the slope (m)
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
![m = \frac{-1-0}{0 -(-5)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1-0%7D%7B0%20-%28-5%29%7D)
![m = \frac{-1}{0 +5}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%7D%7B0%20%2B5%7D)
![m = -\frac{1}{5}](https://tex.z-dn.net/?f=m%20%3D%20-%5Cfrac%7B1%7D%7B5%7D)
The equation in slope intercept form is:
![y = m(x - x_1) + y_1](https://tex.z-dn.net/?f=y%20%3D%20m%28x%20-%20x_1%29%20%2B%20y_1)
This gives:
![y = -\frac{1}{5}(x - (-5)) + 0](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%28x%20-%20%28-5%29%29%20%2B%200)
![y = -\frac{1}{5}(x +5)](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7D%28x%20%2B5%29)
Open bracket
![y = -\frac{1}{5}x -1](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B5%7Dx%20-1)
Answer:
the area is 50.24
.
Step-by-step explanation:
The formula to find area of a circle is A=π
. A is area, and r is for radius. Since we have the diameter here, we just need to divide by 2 to find the radius. 8÷2=4, so there, the radius is 4. Now we need to square 4, and do 4x4, which equals 16. Now to multiply 16 by π, or 3.14. 16 x 3.14 = 50.24. The final answer is 50.24
. Hope this helped! :]