All categories

3 years ago

Find the equation of the line that goes through the point

Mathematics

2 answers:

Yuliya22 [10]3 years ago

7 0

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

mr Goodwill [35]3 years ago

7 0

Answer:

y=-4x-3

Step-by-step explanation:

For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:

(y-5)=-4(x+2)

y-5=-4x-8

y=-4x-3

hope this helps! :)

You might be interested in

in a particular class of 26 students , 11 are men . what fraction of the students in the class are women

vitfil [10]

Step-by-step explanation:

woman = total students - men

= 26 - 11

=15

for fraction of woman , you take the 15(woman) over the total of people in the class,26.

Therefore your answer is 15 over 26

4 0

3 years ago

Read 2 more answers

A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete

zvonat [6]

Answer:

The real perimeter is:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

$P = 4x = 4*6 mm =24 mm$

The area for this case is given by:

$A = x^2 = 6mm^2 = 36 mm^2$

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

$P= 24 mm *\frac{7 km}{1mm}= 168 km$

And the area would be:

$P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2$

6 0

3 years ago

The solid figire shown consists of a cylinder and a cone

mariarad [96]

Sorry
, their is no image attatched

8 0

3 years ago

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.1 parts

satela [25.4K]

Answer:

$t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550$

Step-by-step explanation:

Data given and notation

$\bar X=6.6$ represent the sample mean

$s=1.0$ represent the sample standard deviation

$n=26$ sample size

$\mu_o =7.1$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is different from 7.1 ppm, the system of hypothesis would be:

Null hypothesis: $\mu = 7.1$

Alternative hypothesis: $\mu \neq 7.1$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{6.6-7.1}{\frac{1.0}{\sqrt{26}}}=-2.550$

5 0

3 years ago

Between what two consecutive integers is 152

TEA [102]

Answer:

152 lies between two consecutive integers 151 and 153.

Step-by-step explanation:

Let n be the given integer.

The predecessor of any integer n is given by n-1.

Similarly the successor of an integer n is given by n+1.

For example: Let n be 100

Then its predecessor is 100-1 = 99

Its successor is 100+1 = 101

In the given question, n=152.

Predecessor of 152 = 152 - 1 = 151

Successor of 152 = 152 + 1 = 153

So 152 lies between two successive integers 151 and 153.

6 0

3 years ago