Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:


To check for right-angle triangle, we make use of:

This gives:




This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
Answer:
Justin is correct
Step-by-step explanation:
2x^5 - 4x^3 + 6x^8.
We need to rewrite the polynomial in decreasing order
6x^8 +2x^5 -4x^3
The leading coefficient is 6
For this question you need to use what's called point-slope form. It's named this way because you can use it if you have both the slope and a point at which the line passes through. That said, the equation is as follows:
y - y1 = m(x - x1)
Both y1 and x1 represent the y and x coordinates you are given in the question. Also, m represents the slope of the line that you are given. Knowing this, our equation now looks like this:
y - 4 = -0.5(x - (-5))
And now simplify:
y - 4 = -0.5(x + 5)
y - 4 = -0.5x - 2.5
y = -0.5x + 1.5
Answer:
2
Step-by-step explanation:
4y = 2x + 8
First get the equation in slope intercept form y= mx+b where m is the slope and b is the y intercept
Divide each side by 4
4y/4 = 2x/4 +8/4
y = 1/2x +2
The slope is 1/2 and the y intercept is 2