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2 years ago

write the equation of the line that passes through the points (-1, 2) and (6,3) in slope-intercept form

Mathematics

2 answers:

ElenaW [278]2 years ago

6 0

Answer:

Step-by-step explanation:

first, lets find the slope:

m=(y2-y1)/(x2-x1)

m=(3-2)/(6-(-1))

m=1/7

y=(1/7)*x+b

to find b lets pug in a point we know into the equation:

3=(1/7)*6+b

21/7=6/7+b

b=(21/7)-(6/7)

b=15/7

now we know the equation in slope intercept form representing this function is:

y=(1/7)*x+(15/7)

Strike441 [17]2 years ago

3 0

Answer:

y= 1/7x+15/7

Step-by-step explanation:

points

(-1, 2) and (6, 3)

slope intercept form:

y= mx+b

2= -m+b, 3= 6m+b ⇒ m= 1/7 ⇒ b= 2 1/7= 15/7

y= 1/7x+15/7

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2 years ago

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Nutka1998 [239]

I'm assuming you're looking to find the expanded form of the number?

This number is in scientific notation. The easiest way to convert it to a normal number is to move the decimal place 14 to the right. I've attached a picture showing how to do this. You should get 630,000,000,000,000

There's a faster way to do this - notice that you need to move the decimal 14 to the right, and there's one number already after the decimal place. Therefore, 13 places will be filled with zeros. So, just write out 63 and add 13 zeros.

For more general help on scientific notation, check out these videos: https://www.khanacademy.org/math/pre-algebra/pre-algebra-exponents-radicals/pre-algebra-scientific-notation/v/scientific-notation-old

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7 0

2 years ago

The face of a clock has a circumference of 63 in. What is the area of the face of the clock?

ryzh [129]

Answer:

The area of the clock $= 315.41\ inch^{2}$

Step-by-step explanation:

We have been given the face of the clock that is $63\ in$

So that is also the circumference of the clock.

Since the clock is circular in shape.

So $2\pi(r)=63\ inch$

From here we will calculate the value of radius $(r)$ of the clock that is circular in shape.

Then $2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in$

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now $\pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}$

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2 years ago

Every economic decision has only positive benefits. gained opportunities. unavoidable limitations. a consequence or tradeoff.

Alina [70]

Every economic decision has "a consequence or tradeoff" - this final answer choice is correct. Every time that an individual, business, or institution makes an economic decision, they always forgo an opportunity to use the same capital or resources for other endeavors. As such, there is a tradeoff incurred by not making the decision to use the resource in another manner. This is known as opportunity cost and is one of the fundamental tenets of economic theory.

3 0

3 years ago

Read 2 more answers

At a local track meet, RCMS won 3 blue ribbons than red ribbons. They also won 7 more yellow ribbons than red ribbons. RCMS won

erma4kov [3.2K]

Let no red ribbons=x
no. Of blue ribbons=x+3
No. Of yellow ribb9ns=x+7
Totsl ribbons=28
28=x+x+3+x+7
28=3x+10
3x=28-10
3x=18
X=18/3
X=6

No .of red ribbons=6
No. Of blue ribbons=x+3=9
No. Of yellow ribbons=x+7=13

5 0

2 years ago