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saw5 [17]
4 years ago
5

Choose the equation that represents a line that passes through points (-1,2) and (3,1)

Mathematics
1 answer:
nikklg [1K]4 years ago
7 0

They're all in standard form; it's probably easier just to solve for the line than check the points in each one.

The point-point form of a line through (a,b) and (c,d) is

(c-a)(y-b) = (d-b)(x-a)

So here (a,b)=(-1,2), (c,d)=(3,1) so

(3 - -1)(y - 2) = (1 - 2)(x - -1)

4y - 8 = -x - 1

x + 4y = 7

Answer: B

Check:

-1 + 4(2) = 7, good

3 + 4(1) = 7, good

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pickupchik [31]

If the triangle is increased to twice the base and the height the size will increase by 48 ft²

<h3>How to find the area of a triangle?</h3>

The area of a triangle can be described as follows;

area of a triangle = 1 / 2 bh

where

  • b = base
  • h = height

Therefore, the total area of the garden is 16 square feet.

Hence,

16 ft² = 1 / 2 bh

Hence, if the the triangle is increased to twice the base and the height the size will be as follows;

area = (1 / 2) × 2b × 2h

area = 4 × (1 / 2 bh)

area = 4 × 16

area = 64 ft²

Therefore,

difference in area = 64 ft² - 16 ft²

difference in area = 48 ft²

Therefore, if the the triangle is increased to twice the base and the height the size will  increase by 48 ft²

learn more on triangle  here: brainly.com/question/9593766

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6 0
2 years ago
A box contains 6 red marbles, 4 green marbles, 3 blue marbles, and 2 yellow marbles. If Greg chooses one marble at random 300 ti
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Answer:

60 times

Step-by-step explanation:

There are 6+4+3+2=15 marbles in total. Out of those, 3 are blue, so the probability of pulling a blue marble is \frac{3}{15}=\frac{1}{5}. However, this is only the probability of pulling a blue marble when 1 marble is pulled at random. Therefore, we can expect a blue marble to be pulled \frac{1}{5}*300=60 times if 1 marble is pulled 300 times at random. Hope this helps!

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Step-by-step explanation:

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4 0
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Step-by-step explanation:

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7/8

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4 years ago
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Answer:

I don't see any answer choices, but read my explanation

Step-by-step explanation:

Any line with a slope of 3 would be parallel to y=3x+2.

For example,

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All of these lines are parallel to the original equation

8 0
4 years ago
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