15x^2-15x+21x-21
15x^2+6x-21 is the answer
<u>Part a) </u>
we know that
to find the equation of the line, I will use the two points that are closest to the line
Let
A(1,14)
B(7,7)
<u>Part b) </u>
Find the slope
we know that
the formula to find the slope between two points is equal to

substitute



<u>the answer part b) is</u>
the slope is 
<u>Part c)</u>
we know that
the equation of the line in point slope form is equal to

use the point B (7,7)

therefore
<u>the answer part c) is</u>

<u>Part d) </u>
we know that
the equation of the line in slope-intercept for is equal to

we have



therefore
<u>the answer Part d) is</u>
or 
Answer:
Its letter B
Step-by-step explanation:
4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0
x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13
When x = -3, x - 2 = -5, x + 2 = -1
Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.
That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.
Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.