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Vikentia [17]
4 years ago
6

Write an equation for the line that passes through (2,-5) and is parallel to the line 2y=3x+10

Mathematics
1 answer:
svetlana [45]4 years ago
5 0

Answer:

y = \frac{3}{2} x-8

Step-by-step explanation:

Firstly, let's get y by itself in the equation.

y = \frac{3}{2}x + 5

Parallel lines have the same slope, but not the same y intercept. So we have an equation like this:

y = \frac{3}{2}x + b

To find b (aka the y-intercept), we need to plug in the ordered pair into the equation like this:

-5 = \frac{3}{2}(2) + b

Now solve:

-5 = \frac{6}{2} + b\\-5 = 3 + b\\-8 = b

We have found the y-intercept, now we can write the full equation:

y = \frac{3}{2} x-8

<em>I hope this helps!!</em>

<em>- Kay :)</em>

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Answer:

a) 8/19 chance

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Step-by-step explanation:

A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19

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What's the next number? 5, 3, 2, 6, 7, 9, 1, 15, 4, 2, 3, 3, 9, 5, 1, (?)​
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3 years ago
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In a race, 47 out of the 50 swimmers finished in less than 35 minutes. What percentage of the swimmers finished the race less th
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Answer:

94%

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Step-by-step explanation:

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3 years ago
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A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a coll
xxMikexx [17]

Answer: D

H0: μ=522

H1: μ>522

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

So, for this case;

The null hypothesis is that the mean score equals to 522

H0: μ=522

The alternative hypothesis is that the mean score is greater than 522.

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8 0
4 years ago
In the diagram below, PQ and RS are parallel. Based on the angle measures in the diagram, what is the value of X?
Butoxors [25]

Answer:

x would be equal to 70 grades

Step-by-step explanation:

The angle QRS is equal to 180 - 130 = 50 grades.

We add up that with the other 60 grades on the left, and we encounter ourselves with a simple equation:

60 + x + 50 = 180

x = 70

Hope this was helpful

4 0
3 years ago
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