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3 years ago

Write the equation in POINT-SLOPE FORM of the line that passes throught (5,9) and has a slope of -7.

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

The equation of line with slope -7 passing through (5,9) in point-slope form is:

$y-9 = -7(x-5)$

Step-by-step explanation:

Given

Slope of line = m = -7

Point = (5,9)

The point slope form of equation is obtained from a point and slope. It is given by the equation:

$y-y_1 = m(x-x_1)$

We know that (x1,y1) = (5,9)

Putting the values we get

$y-9 = -7(x-5)$

Hence,

The equation of line with slope -7 passing through (5,9) in point-slope form is:

$y-9 = -7(x-5)$

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What steps should be taken to calculate the volume of the right triangular prism? Select three options.

hram777 [196]

Answer:

A D E

Step-by-step explanation:

A) The formula for the area of a triangle is $\frac12 bh$

D) The base is 8 and the height is 14 so the area of the triangle is 56 meters squared.

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Have a nice day :)

8 0

2 years ago

Read 2 more answers

In a study of variation in systolic blood pressure upon application of leaches, it is found that the standard deviation of the 2

kondor19780726 [428]

Answer:

Test statistic is [(n - 1) *S^2 ]/ σ ^2 = [(22 - 1) *(3.9)^2 ]/ (3.4) ^2

with 21 degrees of freedom

Yes this data fits at the 10% level of significance, so I would not reject that statistic of 3.9 mmHg as a wrong standard deviation

Step-by-step explanation:

use the expression I attached in the image to find

[(n - 1) *S^2 ]/ σ ^2

where S = the standard deviation calculated from the sample of n trials.

sigma is the population standard deviation.

[(22 - 1) *(3.9)^2 ]/ (3.4) ^2 = 21 * 15.21 / 11.56 = 27.6306

all we have to do now is to make sure this number is in the 90 % confidence

interval. remember this has 21 degrees of freedom, look at the chi-squared chart.

11.5913 < 27.6306 < 32.67905

where 11.5913 is the lower bound of the chart

and 32.67905 is the upper bound

6 0

3 years ago

Please solve with explanation

AveGali [126]

Answer:

a) -1535.5

b) 0

Step-by-step explanation:

A) We do this problem according to its parenthesis. First, let's evaluate the first half, -2[(-1/4)-12(-1)^2]. We have to do (-1)^2 first, because of PEMDAS. (-1)^2 is just 1. Now, our equation is -2[(-1/4)-12*1]. Thus, we get -2[(-1/4)-12] because 12*1 is just 12. Then, we do (-1/4)-12, giving us -12.25. Our equation becomes -2(-12.25). Then, we just get 24.5.

The next half, -5[24+2(-12)^2] is similar. We first evaulate (-12)^2 because of PEMDAS, giving us 144. Then, we have -5[24+2(144)]. 2 times 144 is 288, so we get -5[24+288]. 24 + 288 is 312, so we have -5(312). This finally gives us -1560.

Putting the two together, we get 24.5 - 1560, which is -1535.5.

--------------------------------------------------------------------------------------------------------------B) We substitute a = -1/3 and b = -1 into the equation, -a^2b^2 - 3a^3b^2.

We plug in -1/3 where a is and -1 where b is. So:

-(-1/3)^2(-1)^2 - 3(-1/3)^3(-1)^2.

The tricky part of this problem is making sure you follow PEMDAS. We evaluate the exponents first.

-1/9 * 1 - 3(-1/27) * 1

= -1/9 + 1/9

= 0

7 0

3 years ago

Read 2 more answers

Un11Mid

zaharov [31]

Hello!

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Answer: try

Step-by-step explanation:

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3 years ago