y + 6 = 4/3(x - 2)
First, distribute the 4/3
y + 6 = 4/3x - 8/3
Subtract 6 from both sides.
y = 4/3x - 26/3
-26/3 is the y-intercept so start the graph at coordinate (0, -26/3)
After you plot the y-intercept, add 4 to they y-coordinate and 3 to the x-coordinate of the y-intercept to get the next point.
0 + 3 = 3
-26/3 + 4 = -14/3
The next point should be at (3, -14/3)
Add as many points as your professor requires.
Answer: 2.37
Step-by-step explanation:
Multiply each side by x to get rid of the denominator on the left side.
You get:
2.37 = 1x
1x = x
Therefore, 2.37 = x.
Also, any number divided by itself must be 1.
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2x + 2y=132
xy=1080
Let x=1080/y
2160/y + 2y=132
2y^2 - 132y +2160=0
2(y^2-66y+1080)=0
2(y-30)(y-33)=0
y=30 or y=33
(36,30) or (30,36)
So... x=30,36 and y=36,30. Either way, the answer is 30 by 36 or 36 by 30.
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = ![\frac{1}{3}(\text{Area of the base})(\text{Height})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28%5Ctext%7BArea%20of%20the%20base%7D%29%28%5Ctext%7BHeight%7D%29)
= ![\frac{1}{3}\times 568516\times 481](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20568516%5Ctimes%20481)
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = ![\frac{1}{3}(555025)(471)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28555025%29%28471%29)
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet