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<u><em>Answer:</em></u>y = 5x - 7
<u><em>Explanation:</em></u><u>The general form of the linear line in slope-intercept form is:</u>
y = mx + c
where:
m is the slope
c is the y-intercept
<u>1- getting the slope:</u>The slope of the line can be calculated using the following formula:
m = </span>

<span>
We are given the points:
(3,8) representing (x</span>₁<span>,y</span>₁<span>)
(2,3) representing (x</span>₂<span>,y</span>₂<span>)
Substitute with the givens in the above equation to get the slope as follows:
m = </span>

<span> = 5
<u>Therefore, the equation now became:</u>
y = 5x + c
<u>2- getting the y-intercept:</u>To get the value of the c, we will use any of the given points, substitute in the equation we got in part 1 and solve for c. I will use point (2,3) as follows:
y = 5x + c
3 = 5(2) + c
3 = 10 + c
c = 3 - 10
c = -7
<u>Based on the above, the equation of the line is:</u>y = 5x - 7
Hope this helps :)</span>
12
EXPLANATION:
84/12=7 and 24/12=2, therefore their GCF is 12.
Answer:
9, 10, 11, 12, and 13
Step-by-step explanation:
The first term is determined when n=1, therefore a(1)=1+8=9
The second term is determined when n=2, therefore a(2)=2+8=10
The third term is determined when n=3, therefore a(3)=3+8=11
The fourth term is determined when n=4, therefore a(4)=4+8=12
The fifth term is determined when n=5, therefore a(5)=5+8=13
You know that a perfect square trinomial is given by square of first term, twice the product of first and last terms and square of second term
So we have x^2 that is square of x, 2x that is twice the product of x*1, the second term shoulf be 1, that is square of 1
So your answer would be 1
If you try (x+1)^2 = x^2+2x+1
The circle area times the depth gives the volume of a cylinder.
Radius is half diameter = 25 ft
Area circle = π(25)²
= 625π
multiply by depth to find volume.
= 625π(6)
= 11,781
I'd say C. is the closest. I don't round numbers until the end so if you round π to 3.14 it's probably the same