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insens350 [35]
3 years ago
6

What is an equation of the line that passes through the point (- 7, 0) and is parallel to the line x + y = 1

Mathematics
1 answer:
sweet [91]3 years ago
7 0

Answer:

y = -x - 7

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is x + y = 1.

First, let's put this into standard form.

x + y = 1

y = -x + 1

Now we have an equation in standard form. Its slope is -1. A line parallel to this one will also have a slope of -1.

Plug this value (-1) into your standard point-slope equation of y = mx + b.

y = -x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-7, 0). Plug in the x and y values into the x and y of the standard equation.

0 = -1(-7) + b

To find b, multiply the slope and the input of x (-7)

0 = 7 + b

Now, subtract 7 from both sides to isolate b.

-7 = b

Plug this into your standard equation.

y = -x - 7

This equation is parallel to your given equation (y = -x + 1) and contains point (-7, 0)

Hope this helps!

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Answer:

The number of students who liked the book was 64.

Step-by-step explanation:

After reading a book for English class, 100 students were asked whether or not they enjoyed it.

Now, given that nine twenty-fifths of the class did not like the book.

So, \frac{9}{25} of the whole class did not like the book.

Then, the fraction of the class who did like the book was (1 - \frac{9}{25}) = \frac{16}{25}.

Therefore, the number of students who liked the book was (100 \times \frac{16}{25}) = 64. (Answer)

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3 years ago
A survey among freshman at a certain university revealed that the number of hours spent studying before final exams was normally
patriot [66]

Answer: 0.0775

Step-by-step explanation:

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Standard deviation : \sigma =15

Sample size : n=36

Since its normal distribution , then the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x= 28.2 hours

z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28

For x= 30 hours

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The P- value = P(1.28

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3 years ago
Can someone pls help me? :)
erastova [34]

Step-by-step explanation:

1 t=16/21

2.m=2

3.n=13/7

4.a=2

5.x=6/17

6.x=15

7.s=21/4

8. t=7/3

9. s=1

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Answer:

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3 years ago
Which statement explains why the perimeter of the rectangle can be found using l + w + l + w or 2l + 2w?
mrs_skeptik [129]
BOTH    they both are correct bc they both state the same thing     perimeter is both length+ both width's so l+l+w+w=2l+2w

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