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algol [13]
2 years ago
13

write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)

Mathematics
1 answer:
love history [14]2 years ago
8 0

\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x

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During the school year or each student planted 2 * 10^2 trees as part of a community service project. If there are 3.5 * 10^3 st
Nookie1986 [14]

Total 7*10^5 trees were planted.

Further explanation:

The product of both quantities will give us the total number of trees planted by the students for the community project.

So,

Given

Trees\ planted\ by\ each\ student=2*10^2\\Total\ students\ in\ school=3.5*10^3\\Total\ trees\ planted= (2*10^2)*(3.5*10^3)\\= 7*10^5\ trees

So, total 7*10^5 trees were planted.

Keywords: Product, exponents

Learn more about product and exponents at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

4 0
3 years ago
Please help thank you
Gemiola [76]
Question 1:

This is a 45-45-90 right triangle. If the leg length is x, then the hypotenuse length will be x \sqrt{2}.

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get 8 \sqrt{2}. Thus, the last choice is your answer.

Question 2:

This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of x.
Then, the longer leg will have a length of x \sqrt{3}.
Also, the hypotenuse will have a length of 2x

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.

Hope this helps! :)
5 0
3 years ago
There is 0.162 liter of water in a 1-liter bottle. How much more water should be put in the bottle so it contains exactly 1 lite
Dmitry [639]

Answer: 0.838 is the answer to this problem

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3 0
3 years ago
The sum of two numbers is 981. One of the numbers is 703. What is the other number?
victus00 [196]

Answer:

Other number is 278.

Step-by-step explanation:

Given that

a + b = 981

One of the numbers = 703

We assume that it is a ; So

a = 703

Other number = b = ?

Put value of a in a + b

a + b = 981

703 + b = 981

b = 278

6 0
3 years ago
Billy Found The Slope of the line through the points (2,5) and (-2, -5) using the equation shown in the picture below. What mist
Nady [450]

Answer: the numbers were negative so he needed to add the positive numbers to that equation (I think sorry if I’m wrong)

Step-by-step explanation:

7 0
2 years ago
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