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3 years ago

Which equation represents a line passing through the points (8, 16) and (-1,-11)?

1 answer:

5 0

Answer: (24/16)x+3
Explanation: First you have to find your slope so to do that you’ll have to do y1-y2/x2-x1. Once you have your slope you have to put this into an equation and use y=mx+b, so you can use the two first points (8,16) and plug it into the formula. You’ll have 16=3(8)+b once you have that you’ll multiply 3(8) which is 24 and then bring that down so now you have 16=24+b, the next step is to divide 16 by 24 you cannot divide this though because you’ll have a decimal n you don’t want that so you’ll have a fraction of 24/16.

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Write the following quotient in the form a+bi.<br> -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

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3 years ago

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How long will it take a seal swimming at a speed of 8 miles per hour to travel 52miles

Soloha48 [4]

It will take the seal 6.5 hours to swim 52 miles.

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3 years ago

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Hi!! I need some help with those exercises can anybody help me please !! Thanks you

elena55 [62]

Answer:

Step-by-step explanation:

(a+b)^2=a^(2)+2ab+b^(2)

(a-b)^2=a^(2)-2ab+b^(2)

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(x+2)^(2)-(x-1)^2

x^(2)+4x+4-(x^(2)-2x+1)

x^(2)+4x+4-x^(2)+2x-1

6x+3

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(x+5)^(2)-(x+1)^2

x^(2)+10x+25-(x^(2)+2x+1)

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3 years ago

a can contain 15/16 pound of vegetables . one serving of these vegetables weights 1/4 pound . whats is the total number of servi

Elodia [21]

1/4=4/16 so the can has 3 servings and a some leftovers that are smaller than a serving. I think the answer is 3.

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3 years ago

How do you find a percent of another number

Pepsi [2]

Step-by-step explanation:

This actually depends in different problem but the way I think your talking about is the easiest way.

Problem: 80% of 385

Step 1 You will be Multiplying

Step 2. Move the decimal to the left by 2 places.

Example: 385

x .80

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Step 3 do the problem

example: 385

x.80

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308.0% is the percentage

make sure to drop the decimal but if there there nothing after it don't leave it in your final answers ( some teachers mark it wrong when it really it's not wrong just improper format)

6 0

3 years ago