MATHEMATICS MIDDLE SCHOOL

Find an equation of the line that (a) has y-intercept of -8 and (b) is parallel to the line 6 x − 1 y = 7 6x-1y=7 . Write your answer in the form y = m x + b y=mx+b .

Answers

Answer 1

Answer:

Answer:

The equation of the line in the slope-intercept form is:

$\:y=6x-8$

Step-by-step explanation:

The slope-intercept form of the equation of a line is

$y\:=\:mx\:+\:b$

As y intercept is -8, we have

$y\:=\:mx\:-8$

Since the line is parallel to $6x-y=7$ , then it has the same slope.

Let's put this equation in $y\:=\:mx\:+\:b$ form and find the slope

$6x-y=7$

$y=6x-7$

Thus, the slope is :

$m = 6$

Now we can finish the equation of the line in the slope-intercept form

$y\:=\:mx\:+\:b$

$\:y=6x-8$ ∵ $m = 6$ , b = -8

Therefore, the equation of the line in the slope-intercept form is:

$\:y=6x-8$

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Answer:

I know:

the jet ski rental flat rate ($75)
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I need to know:

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Find the area of the parallelogram

Answers

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kimi is playing hide-and-seek with Tommy and Manuel. Tommy is hiding 12 feet south of Kimi, and Manuel is hiding due east of Tommy. If Kimi is 20 feet from Manuel, how far apart are Tommy and Manuel?

Answers

Answer:

Tommy and Manuel are 16 ft apart

Step-by-step explanation:

The locations of all three players are shown in the image below

They form a right triangle where the hypotenuse is 20 ft, and one of the legs is 12 ft. We must find the other leg.

We must use Pythagoras's theorem. Being a and b the legs of a right triangle and c its hypotenuse, then

$c^2=a^2+b^2$

Knowing c and one of the legs, say b:

$a^2=c^2-b^2$

Using the values c=20, b=12 we find

$a^2=20^2-12^2=400-144=256$

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Your bank gives you a special loan of $112,000. At the end of 30 years, you will pay the bank $176,400 in simple interest. What is the annual interest rate on your loan?

Answers

In the given problem there are several information's worth taking note of. Based on these information's the rate on the loan can be calculated.It is already given that the Principal amount is $112000. Time is given as 30 years and the final amount as $176400.
Now we have to find the amount of interest first
Interest amount = (176400 - 112000) dollars
   = 64400 dollars
As per the formula of simple interest we know that
Interest = Principal * Rate of interest * Time
Rate of Interest = (Principal * Time)/Interest amount
      = (112000 * 30)/64400
      = 3360000/64400
      = 52.17
So the rate of interest on the loan for the period of 30 years was 52.17%

Answer:

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Step-by-step explanation:

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Answers

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Answers

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