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2 years ago

Find the equation of the line that passes through (9,-4) and (-1,-8).

Mathematics

1 answer:

Xelga [282]2 years ago

7 0

Answer:

$y = \frac{2}{5} x - 7 \frac{3}{5}$

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the gradient and c is the y-intercept.

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

Gradient

$= \frac{ - 4 - ( - 8)}{9 - ( - 1)}$

$= \frac{ - 4 + 8}{9 + 1}$

$= \frac{4}{10}$

$= \frac{2}{5}$

Substitute the value of the gradient into the equation:

$y = \frac{2}{5} x + c$

To find the value of the y-intercept, substitute a pair of coordinates.

When x= -1, y= -8,

$- 8 = \frac{2}{5} ( - 1) + c$

$- 8 = - \frac{2}{5} + c$

$c = - 8 + \frac{2}{5}$

$c = - 7 \frac{3}{5}$

Thus the equation of the line is $y = \frac{2}{5} x - 7 \frac{3}{5}$ .

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A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ag

Katyanochek1 [597]

Answer:

At 5% significance level, it is statistically evident that there is nodifference in the proportion of college students who consider themselves overweight between the two poll

Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

Let five years ago be group I X and as of now be group II Y

$H_0: p_x =p_y\\H_a: p_x \neq p_y$

(Two tailed test at 5% level of significance)

Group I Group II combined p

n 270 300 570

favor 120 140 260

p 0.4444 0.4667 0.4561

Std error for differene = $\sqrt{\frac{0.4561(1-0.4561)}{570} } \\=0.0209$

p difference = -0.0223

Z statistic = p diff/std error = -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

At 5% significance level, it is statistically evident that there is nodifference in the proportion of college students who consider themselves overweight between the two poll

7 0

2 years ago

Which equation is true for the value b = 2?

marta [7]

A. b = 3
B. b = 2
C. b = 4
D. b = 3/2

So, here I state the answer to this problem is (B)

Have a great day.
Glad to help out!

5 0

2 years ago

Show that the two figures are similar by identifying a sequence of translations, rotations, reflections, and dilations that take

never [62]

1st) reflection over the point G

2nd) a dilation of 1/2 with fixed point G

3rd) a traslation 2 units left and 4 units up

6 0

11 months ago

Read 2 more answers

Rebecca has 12 photos she wants to hang side by side on her wall.A. If she only wants to display 8 of the photos, in how many wa

Mariana [72]

If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.

The formula for a combination of n choose p is:

$C(n,p)=\frac{n!}{p!(n-p)!}$

For n = 12 and p = 8, we have:

$C(12,8)=\frac{12!}{8!(12-8)!_{}}=\frac{12\cdot11\cdot10\cdot9\cdot8!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495$

So there are 495 ways.

If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

$12!=12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2=479001600$

There are 479,001,600 ways.

Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.

In this case, there are only 2 ways of organizing the remaining two photos:

Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.

6 0

1 year ago

4. Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour.

hjlf

Answer:

equation: c = 4.80h + 18.30, cost for four hours: (4, 37.5)

Step-by-step explanation:

the equation is c = 4.80h + 18.30 because 18.30, the initial cost, is the y-intercept and because each hour costs $4.80. the cost for four hours would be (4, 37.5) because it costs $37.5 to skate for four hours.

7 0

2 years ago