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2 years ago

What is the equation of the line that passes through the point (3, 4) and has a slope of - 2/3?

Mathematics

1 answer:

fgiga [73]2 years ago

8 0

Answer: y= - 2/3x+6

Step-by-step explanation:

Just plug in values into this equation (slope intercept form)

y=mx+b

3 is x value

4 is y value

m is the slope which is - 2/3

So after you plug in the values, solve for b ("b" is the y intercept):

4=-2/3(3)+b

4=-2+b

b=6

Then add in the b value into your equation and you will get y= - 2/3x+6

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2 years ago

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kykrilka [37]

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3 years ago

The volume of a prism is 378CM2 one of the faces are 27cm 2 the edge is x, x=?<br> mathswatch.

olga_2 [115]

The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The question is incomplete.

The complete question is in the picture please refer to the attached picture.

We know the volume of the prism can be calculated:

Volume = base area×length

378 = 27x

x = 378/27 = 14 cm

Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.

Learn more about the volume here:

brainly.com/question/16788902

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2 years ago

Chelsea deposits $600.00 into a bank account and is earning 8.5%simple interest. She decides to keep the account for 4 years. a)

snow_lady [41]

Answer:

$204 in interest

Step-by-step explanation:

Plug in each variable into the simple interest formula: I = PRT

P = $600

R = 8.5% (0.085)

T = 4 years

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3 years ago

2(3x – 1) = –6x – 2 can someone help

Gnom [1K]

Let's solve your equation step-by-step.

2(3x−1)=−6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=−6x−2

(2)(3x)+(2)(−1)=−6x+−2(Distribute)

6x+−2=−6x+−2

6x−2=−6x−2

Step 2: Add 6x to both sides.

6x−2+6x=−6x−2+6x

12x−2=−2

Step 3: Add 2 to both sides.

12x−2+2=−2+2

12x=0

Step 4: Divide both sides by 12.

12x/12= 0/12

x=0

Answer:

x=0

HOPE THIS HELPS!!! :)

5 0

3 years ago