Z=70
Simplify both sides of the equation
Subtract 24 from both sides
Multiple both sides by 10
A,c,d is what I got but make sure to double check
<h3>
Answer: C) 4</h3>
============================
Work Shown:
Expand out the left hand side
(x-k)(x-5)
x(x-5)-k(x-5)
x^2-5x-kx+5k
Note that the constant term here is 5k. Yes k seems like a variable, but it's actually a constant. Once we know k, we can replace it to get a fixed number. In this case, k = 4 since 5k = 5*4 = 20 to have it match with the 20 at the end of x^2-9x+20
For the x terms, we have -5x-kx = -5x-4x = -9x which matches with the middle term of x^2-9x+20
Therefore,
(x-k)(x-5) = x^2-9x+20
updates to
(x-4)(x-5) = x^2-9x+20
The -4 and -5 multiply to 20, and they also add to -9. This helps confirm we have the right k value.
Answer:
Step-by-step explanation:
perimeter of a square = 4 x length (L)
8x - 10 + 8x - 10 = 4L
rearrange the expression
8x + 8x - 10 - 10 = 4L
16x - 20 = 4L
divide both sides for L to stand alone
(16x - 20)/ 4 = 4L/4
(16x - 20)/4 = L
Answer:
The volume of the prism is <u>320 15/16 inches³</u>.
Step-by-step explanation:
Given:
The length of the base of a rectangular prism is 9 7/8.
The width of the prism is 8 1/8.
And the height is 4 inches.
Now, to find the volume of the prism.
(Length) <em> l = 9 7/8 = 79/8 inches.</em>
(Width) <em> w = 8 1/8 = 65/8 inches</em>.
(Height) <em>h = 4 inches</em>.
So, by putting the formula to get the volume:
Volume = w×h×l.
<em>Volume = 320 15/16 inches³.</em>
Therefore, the volume of the prism is 320 15/16 inches³.
