Answer:
![2x-3y=-12](https://tex.z-dn.net/?f=2x-3y%3D-12)
Step-by-step explanation:
We can use the point-slope formula given by:
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
The given line passes through the
point (-3,2) and having slope
.
We substitute the given point and slope to get:
![y-2=\frac{2}{3}(x--3)](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B2%7D%7B3%7D%28x--3%29)
![y-2=\frac{2}{3}(x+3)](https://tex.z-dn.net/?f=y-2%3D%5Cfrac%7B2%7D%7B3%7D%28x%2B3%29)
we clear the fraction to get;
![3y-6=2(x+3)](https://tex.z-dn.net/?f=3y-6%3D2%28x%2B3%29)
![3y-6=2x+6](https://tex.z-dn.net/?f=3y-6%3D2x%2B6)
![3y-2x=6+6](https://tex.z-dn.net/?f=3y-2x%3D6%2B6)
![3y-2x=12](https://tex.z-dn.net/?f=3y-2x%3D12)
Or in standard form:
![2x-3y=-12](https://tex.z-dn.net/?f=2x-3y%3D-12)
Answer:
3 Questions
Step-by-step explanation:
After MM students took a test, there was a total of 64% of correct answers.
The tests contained a total of 50 questions.
Number of questions gotten to score 64%= 64% X 50 = 32 questions
If the next student wants to score 70%, he has to score
70% of the total score = 70% X 50 = 35
Therefore the least number of question more the student has to get right
=35-32
= 3 questions
Answer:
Manuel would be correct, the volumes would be equal.
Step-by-step explanation:
The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by
).
Square pyramid formula:
×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159×
×5=523.5983.
Cone formula: The basic formula is the same:
×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159×
×5=523.5983.
Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.
Answer:
15 years
Step-by-step explanation:
<u>Given:</u>
- Number of trees = 167
- This year limit = 4 trees
- Yearly limit following years = 6 trees per year
- Target number of trees = 50
<u>Building inequality:</u>
- 167 - 4 - 8x < 50
- 8x > 113
- x > 113/8
- x > 14.125
Adding current year to 14 we get 15 years as answer
Answer:
11
Step-by-step explanation:
Since both points have the same x value, we know they are vertical to each other.
One point is 4 units above the x axis, the other is 7 below the x axis.
4 + 7 = 11