Answer:
y = 3x-2
Step-by-step explanation:
Answer:
use 2 defined points.
Lets use: (-3,0) and (0,3)
The equation is written as y = mx+b, where m is the slope and is the y-intercept
Slope - change in y / change in x:
Slope = (3 -0) /(0- -3) = 3/3 = 1
b is the y-intercept which is the y value when x is o, which is one of the points (0,3) so b = 3
The equation becomes y = x +3
You can use the pythagorean theorem. Make sure that you put the measurements in the right places though. Since 11 is the measure of the hypotenuse, 11 has to be c. When you plug in the information that you have, it should look like this:
8^2 + b^2 = 11^2
Square 8 and 11.
64 + b^2 = 121
Subtract 64 from 121
121 - 64 = 57
The new equation is:
b^2 = 57
Now take the square root of both sides to get b by itself.
b = about 7.5
Answer: The height of the triangle is 7.5
***** Note: I rounded the answer ********************************************
Let length, width, and height be s.
Then diagonal of any face would be √( s² + s² ) = √( 2s² )
And we know that it measures √( 500 ) so that's sufficient for us to figure out the length of an edge of the cube. We do not need to worry about the diagonal of the cube.
Now we have to solve √( 500 ) = √( 2s² )
Square both sides:
500 = 2s²
Divide both sides by 2:
250 = s²
Take the square root of both sides:
√(250) = s ≈ 15.8113883
Rounding to nearest tenth:
s ≈ 15.8
Final answer: 15.8
Hope this helps.
let's recall that to find the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".
