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3 years ago

Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).

Mathematics

1 answer:

masha68 [24]3 years ago

3 0

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

Pls mark it as Brainliest :)

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As a marketing manager, you are tasked with selecting a website to place your advertisement. The following sampled data shows th

olasank [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

2.)

Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.

5 0

3 years ago

Which glide reflection describes the mapping triangle ABC triangleDEF?

ZanzabumX [31]

In order to visualize the transformations, we must execute the transformation in the options

The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.

The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,

So, the answer is the second option.

5 0

3 years ago

The volume of a sphere is 36 ft.3 What is the radius of the sphere? Use

noname [10]

Answer:

828382772

Step-by-step explanation:

do it your self

hope this help

5 0

3 years ago

Simplify 15(10-4-2) 14 015/2 52-4110 O 105-4110

inna [77]

$\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}$

let's simplify ~

$\qquad \sf \dashrightarrow \: \sqrt{5} (10 - 4 \sqrt{2} )$

$\qquad \sf \dashrightarrow \: ( \sqrt{5} \times 10) - ( \sqrt{5} \times 4\sqrt{2)}$

$\qquad \sf \dashrightarrow \: 10 \sqrt{5} - 4\sqrt{10}$

3 0

2 years ago

What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side len

KIM [24]

Answer:

All its side lengths are equal

(and all the agle of 60°)

Step-by-step explanation:

What is true of an equilateral triangle? Two of its side lengths are equal. All its side lengths are equal. None of its side lengths are equal. None of its interior angles are equal. What is true of an equilateral triangle ? Two of its side lengths are equal . All its side lengths are equal . None of its side lengths are equal . None of its interior angles are equal .

4 0

2 years ago