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emmasim [6.3K]
2 years ago
7

What is an equation of the line that passes through the point (-1, -3) and is

Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

Answer:

y = 4x + 1

Step-by-step explanation:

1. Solve given equation for y

4x-y=2

4x=y+2

y=4x-2

2. Parallel in linear equations means the new line will have the same slope, so your new equation so far is

y=4x+b      (formula being used is linear function y=mx+b)

3. (-1,-3) is a coordinate (x,y), so plug those values in for x and y so the only variable in your equation is b, the y-intercept

-3=4(-1)+b     Solve for b

-3=-4+b

1=b

4. Rewrite your new equation with the m and b you now know

y=4x+1

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Two ships leave from the same port. One travels west 84 miles and the other travels 62 miles north. Determine the distance betwe
Lerok [7]
The distance the ships traveled are like the legs of a triangle and the question wants to know the hypotenuse. To find the hypotenuse, use the pythagorean theorem. this is a^2 + b^2 = c^2, with a and b being the legs and c being the <span>hypotenuse.
</span>Plug in known values:
84^2 + 62^2 = c^2
Solve:
84^2 = 7056
62^2 = 3844
7056 + 3844 = c^2
7056 + 3844 = 10900
10900 = c^2
Now you just need to isolate c by finding the square root of both sides.
√10900 = 104.403
√c^2 = c

So c = 104.403, or just 104.40 when rounded to the nearest tenth.
And if c is 104.40, then that means the hypotenuse is 104.40.
And all of that basically means that the distance between the ships is 104.40 miles.
5 0
3 years ago
Two angles are complementary. The first angle is 2x degrees. The second angle is (3x +5) degrees. Determine the measure of each
bixtya [17]

Answer:

70 and 110

Step-by-step explanation:

First angle -- 2x

Second angle -- 3x + 5

Therefore,

2x + 3x + 5 = 180

5x = 175

x = 35

Therefore, 2x -- 70

3x + 5 -------------110

Thenks and mark me brainliest :)

8 0
3 years ago
Order the following numbers from least to greatest.<br> Put the least value on the left.
ad-work [718]

Answer:

-5/2, -2, 1.7

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Mr. Robison rides 136 miles per hour on his bike ride. He wants to ride more than 360 miles at the same rate during his next bik
Sever21 [200]

Answer: See explanation

Step-by-step explanation:

From the equation, we are informed that Mr. Robison rides 136 miles per hour on his bike ride and that he wants to ride more than 360 miles at the same rate during his next bike ride.

The inequality that represents all possible values for b, the number of hours Mr. Robison must bike will be:

136b > 360

b > 360/136

b > 2.65

Therefore, Me Robinson must bike for more than 2.65 hours

4 0
3 years ago
An animal shelter has 9 puppies. If the puppies are 36% of the total dog and cat population, how many dogs and cats are in the a
Luda [366]

Answer:

Let total number of dog and cat population in animal shelter be x.

As per the statement:

An animal shelter has 9 puppies.

⇒ Total number of puppies = 9

It is also given that if the puppies are 36% of the total dog and cat population.

⇒ 9 = 36\% \text{of}{\text{total number of dogs and Cat}

or

9 = \frac{36}{100} \times x

By cross multiply we get;

900 = 36 x

Divide both sides by 36 we get;

25 = x

Therefore, total number of dogs and cat population in animal shelter are 25


5 0
3 years ago
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