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Sergio [31]
3 years ago
8

Which points lie on the line that passes through point P and is parallel to the given line? Select three options.

Mathematics
2 answers:
gulaghasi [49]3 years ago
5 0

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

Gnesinka [82]3 years ago
4 0

Answer:

Answer: B C E

Step-by-step explanation:

Just took the test!!

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In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0
3 years ago
8х + 5у = -7<br> — 7х + бу = — 4
Levart [38]

Answer: x = -0.2651 and y = -0.9759

Step-by-step explanation:

Solution by substitution method

8x+5y= -7

-7x+6y= -4 = 7x-6y=4

Suppose,

8x+5y=-7→(1)

7x-6y=4→(2)

Taking equation (1), we have

8x+5y= -7

⇒8x= -5y -7

⇒x= -5y-7 / 8 →(3)

Putting x= -5y-7 / 8

in equation (2), we get 7x-6y=4

7(-5y-7/8)-6y=4

⇒-35y-49-48y=32

⇒-83y-49=32

⇒-83y=32+49

⇒-83y=81

⇒y= 81 / -83

⇒y= -0.9759→(4)

Now, Putting y= -0.9759 in equation (3), we get

x= -5y-7

x= -5(-0.9759)-7/8

⇒x= 4.8795-7/8

⇒x= -2.1205/8

⇒x= -0.2651

∴x= -0.2651 and y = -0.9759

7 0
3 years ago
Anyone? i dont understand
Murljashka [212]

Answer:

1725ft^2

Step-by-step explanation:

Hi!

First you have to find your two bases B1 and B2, which are 50 and 65.

Then you find the height, which is 30ft.

Finally, you plug those into the equation 1/2*h*(B1+B2) and solve.

1/2*30*(50+65)

1/2*30*(115)

15*115

1725ft^2 is your answer.

I hope this helps!

8 0
3 years ago
The total rainfall in Forks, Washington, this October was 8 3/8 in. In September, 60% less rain fell than in October.
lakkis [162]
Given:
October: 8 3/8 inches
September : 60% less rain fell than in October.

This means that only 40% rain fell in September based on the amount of rain that fell in October.

8 3/8 ⇒ (8*8)+3/8 = 67/8
40% is 4/10

67/8 * 4/10 = 268/80 = 3 28/80 or 3 7/20 or 3.35

28 ÷ 2 = 14
80 ÷ 2 = 40
14 ÷ 2 =   7
40 ÷ 2 = 20

In September 3 7/20 inches or 3.35 inches of rain fell.
7 0
3 years ago
Read 2 more answers
PLEASE ANSWER VERY VERY QUICKLY! GIVING BRAINIEST 3x 3 + 1 over 4 x 4 with the power of 2 how would you solve this?
Orlov [11]

Answer:

FRACTION: 10         (10 OVER 256)

                   __

                  256

Step-by-step explanation:

3 x 3 is 9, plus 1 is 10

4x4 is 16, and 16² is 256

5 0
3 years ago
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