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3 years ago

Write an equation of the line that passes through (-1,3) and is parallel to the line y = 2x + 2.

Mathematics

1 answer:

Jlenok [28]3 years ago

5 0

Answer:y=2x+3

Step-by-step explanation: the slope will be the same as the slope for the other equation since its parallel to it. then you plug in the point to the equation so 3 would be y and x would be -1. then you solve that equation and get the answer for the y intercept which goes on the end of the equation.

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The distances between three cities on a map are 45 miles, 56 miles, and 72 miles. Do the positions of

ollegr [7]

Answer:

The position of the three cities do not form a right-triangle.

Step-by-step explanation:

There are three cities on a map (say A, B, and C).

Now, the distances between them are 45 miles, 56 miles, and 72 miles.

i.e. AB= 45 miles, BC= 56 miles and CA =72 miles.

If the three cities A, B, C form a right-angled triangle on the map, then applying Pythagoras Theorem AB² +BC² =AC²

or, AC= √(AB² +BC²) must be satisfied.

Now, right-hand side of the above equation =√(45²+56²) =71.84 ≠ 72 (AC)

Hence, Right-hand side ≠ Left-hand side.

Therefore, the positions of the three cities do not form a right triangle. (Answer)

6 0

4 years ago

If 12 less than 4 times a number is 8, the number is 5. Write a different sentance where the unknown number is also 5.

anastassius [24]

Two times a number minus 4 is six. (2*5-4=6)

7 0

4 years ago

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A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random

Akimi4 [234]

Answer:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

Step-by-step explanation:

Information given

$\bar X=24$ represent the mean height for the sample

$s=2.2$ represent the sample standard deviation

$n=14$ sample size

$\mu_o =25$ represent the value that we want to test

t would represent the statistic

$p_v$ represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:

Null hypothesis: $\mu \geq 25$

Alternative hypothesis: $\mu < 25$

The statistic would be given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70$

The degrees of freedom are given by:

$df=n-1=14-1=13$

The p value for this case would be given by:

$p_v =P(t_{(13)}$

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3 years ago

What are some different ways to write<br> numbers that are equal to 1: 2?

Lostsunrise [7]

Mmmm nose busca en gogle jajaja

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3 years ago

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Which of the following equations has

Tju [1.3M]

The One With Inifinetely Many Solutions is D. 3x-5=-5+3x are both the same.Meaning that no matter Which Value u Put For X u will get the same Answer On Both Side

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2 years ago

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