Answer:
y-6=-1/3(x+6)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-6)/(3-(-6))
m=-3/(3+6)
m=-3/9
simplify
m=-1/3
y-6=-1/3(x-(-6))
y-6=-1/3(x+6)
Step 1: Find the slope:

This gives you
, but we need to find b.
To find b, substitute in one (x,y) pair and it doesn't matter which one. I'll go with (4,-2):
![\begin{aligned}-2&=-\dfrac{3}{2}(4)+b\\[0.5em]-2&=-6+b\\[0.5em]4&=b\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D-2%26%3D-%5Cdfrac%7B3%7D%7B2%7D%284%29%2Bb%5C%5C%5B0.5em%5D-2%26%3D-6%2Bb%5C%5C%5B0.5em%5D4%26%3Db%5Cend%7Baligned%7D)
Now take that b-value and plug in into the slope-intercept form:

It's always a good idea to toss in the other x-value from the other point, to make sure it checks out.
Answer:
c² - 63
Step-by-step explanation:
4c - 10 = 30
3c ÷ 3 = 10
c² - 63 = 37
c² ÷ 10 = 10
Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.
c + 25 < 37
I hope this helps you :D
Answer:
The answer is 250 in interest.
Step-by-step explanation:
I=prt, I=(500)(0.05)(10)
Hello!
Question 1
We first have to convert everything to yards since the concrete is charged by the cubic yards
15 feet = 5 yards
15 feet = 5 yards
3 inches = 0.08333
Multiply these to find the volume
5 * 5 * 0.08333 = 2.08325
Multiply this by the cost
2.08325 * 46 = 95.83
The answer is C) $95.83
------------------------------------------------------------------------------------------------------
Question 2
You have to find the volume of the first pyramid
The equation we use is

V is volume
l is length
w is width
h is height
Put in the values we know

Multiply

Divide
V = 2389.3333
Now we use this to find the side length of the second pyramid

Multiply both sides by 3
<span>7167.999 = lw * 112
</span>
Divide both sides by 112
63.9999 = lw
Since it is a square pyramid we know that sides are equal
63.999 = l^2
Take the square root of both sides
8 = l
The answer is B) 8in
Hope this helps!