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Inessa [10]
3 years ago
12

The points (2, 0) and (3, 3) fall on a particular line. What is its equation in slope-intercept form?

Mathematics
1 answer:
stiv31 [10]3 years ago
5 0

Answer:

y=3x-6

Step-by-step explanation:

The slope is (3-0)/(3-2) which is 3. So, we know the equation is y=3x+b, where b is an integer. Plugging values into the equation would give us 0=3(2) + b, so b is -6. So the answer is y=3x-6

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The area of a rectangle is 525 sq cm. the ratio of the length to the width is 7:3. find the length and width.
nalin [4]
Suppose the length is 7x, the width is then 3x
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3 years ago
Sally bought a car for 35000 in 2017. If the car loses 5.5% semiannually, what will the value of the value of the car be at the
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5 0
3 years ago
this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you ​
lyudmila [28]

Answer:

x = 24.

r $ \ne $ 0.

Step-by-step explanation:

2. The given equation is:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

Multiplying throughout by 6, we get:

$ \frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2) $

$ \implies 3(x - 4) = 2x + 12 $

$ \implies 3x - 12 = 2x + 12 $

$ \implies x = 24 $

Therefore, the solution of the equation is 24.

3. The given equation is: $ ry + s = tx - m $

To solve for y:

We can rearrange the equation as:

$ ry = tx - m - s $

$ \implies y = \frac{tx - m - s}{r} $

or, $ y = \frac{tx - (m + s)}{r} $

Note that we have to impose a condition on variable $ r $. It would be that $ r $ can never be zero. i.e., $ r \ne 0 $. Otherwise, the value of $ y $ would be undefined.

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3 years ago
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