8y-2x=24
Solve for y
8y=2x+24
y=(1/4)x+3
So no it is in the form y=mx + c
m is the slope
So the slope is 1/4
Answer: x=9
Explanation: All 3 angles of a triangle add up to 180, so basically the equation is (3x-5)+(7x+5)+90=180.
Then you add your like terms, so 3x+ 7x=10x and -5+5=0, which cancels out. Now we have 10x+90=180, we subtract the 90 from 180 to see what 10x is equal to and we get 90. So 10x=90. We divide 10 from 90 and we get the value of X, which is 9.
The minimum surface area that such a box can have is 380 square
<h3>How to determine the minimum surface area such a box can have?</h3>
Represent the base length with x and the bwith h.
So, the volume is
V = x^2h
This gives
x^2h = 500
Make h the subject
h = 500/x^2
The surface area is
S = 2(x^2 + 2xh)
Expand
S = 2x^2 + 4xh
Substitute h = 500/x^2
S = 2x^2 + 4x * 500/x^2
Evaluate
S = 2x^2 + 2000/x
Differentiate
S' = 4x - 2000/x^2
Set the equation to 0
4x - 2000/x^2 = 0
Multiply through by x^2
4x^3 - 2000 = 0
This gives
4x^3= 2000
Divide by 4
x^3 = 500
Take the cube root
x = 7.94
Substitute x = 7.94 in S = 2x^2 + 2000/x
S = 2 * 7.94^2 + 2000/7.94
Evaluate
S = 380
Hence, the minimum surface area that such a box can have is 380 square
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Answer:
is the closest to 8
Step-by-step explanation:

A square is a quadrilateral with all four angles right angles and all four sides of the same length. ... Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.