The silence of a triangle are 9 12 and 15 is this a right triangle

Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)

Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

$x_1=-2\\y_1=5\\x_2=-1\\y_2=1$

Now substitute into the formula

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{1-5}{-1--2}$
Simplify

m= $\frac{1-5}{-1+2}$

Subtract

m= $\frac{-4}{1}$

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0

2 years ago

Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Perform the

Readme [11.4K]

<h2>Answer with explanation:</h2>

By considering the given information, we have

Null hypothesis : $H_0: \mu=35.0$

Alternative hypothesis : $H_1: \mu\neq35.0$

Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.

$\overline{x}=41.0$ ; $\sigma= 3.7$

Test statistic : $t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

i.e. $t=\dfrac{41.0-35.0}{\dfrac{3.7}{\sqrt{20}}}=7.252112359\approx7.25$

Degree of freedom : n-1 = 20-1=19

Significance level = 0.01

For two tailed, Significance level $=\dfrac{0.01}{2}=0.005$

By using the t-distribution table, the critical value of t = $t_{19, 0.005}=2.861$

Since , the observed t-value (7.25) is greater than the critical value (2.861) .

So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.

We conclude that there is some significance difference between the mean score for sober women and 35.0.

3 0

3 years ago

A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear

Ronch [10]

Answer: 252 i think i tried and i think its right

8 0

2 years ago

43x+ 67y = -24 and 67x + 43y = 24 solve

aleksandrvk [35]

Answer:

(x, y) = (1, -1)

Step-by-step explanation:

We'll write these equations in general form, then solve using the cross-multiplication method.

43x +67y +24 = 0

67x +43y -24 = 0

∆1 = (43)(43) -(67)(67) = -2640

∆2 = (67)(-24) -(43)(24) = -2640

∆3 = (24)(67) -(-24)(43) = 2640

These go into the relations ...

1/∆1 = x/∆2 = y/∆3

x = ∆2/∆1 = -2640/-2640 = 1

y = ∆3/∆1 = 2640/-2640 = -1

The solution is (x, y) = (1, -1).

_____

<em>Additional comment</em>

The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)

4 0

3 years ago

Solve this equation<br> бу – 14 = 22<br> y =

zlopas [31]

6y -14 = 22
22+14=36
36/6= 6

Y=6
Hope this helps!

5 0

3 years ago

Read 2 more answers