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Zielflug [23.3K]
3 years ago
10

Write an equation of the line that passes through the point (2,3) with slope 3.

Mathematics
1 answer:
djyliett [7]3 years ago
5 0

Answer:

<h2>y = 3x - 3</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the slope <em>m = 3</em>, and the point <em>(2, 3)</em>.

Put the value of slope and the coordinates of the given pint (x = 2, y = 3) to the equation of a line:

3=3(2)+b

3=6+b             <em>subtract 3 from both sides</em>

-3=b\to b=-3

Finally:

y=3x-3

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Answer:

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2 years ago
What is the greatest common factor of the following monomials: 12g^5h^4 g^5h^2
muminat

Answer:

g^5h^2

Step-by-step explanation:

12g^5h^4, g^5h^2

This is one way of doing it. Break down every number and every variable into a product of the simplest factors. Then see how many of each factor appear in both monomials.

12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h

g^5h^2 = g * g * g * g * g * h * h

So far you see every single prime factor of each monomial.

Now I will mark the ones that are present in both. Those are the common factors.

12g^5h^4 = 2 * 2 * 3 * g * g * g * g * g * h * h * h * h

g^5h^2 = g * g * g * g * g * h * h

The greatest common factor is the product of all the factors that appear in both monomials.

GCF = g * g * g * g * g * h * h = g^5h^2

6 0
3 years ago
12. The temperature was –3° C last night. It is now 4° C. What was the<br> change in temperature?
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Answer:

7

Step-by-step explanation:

-3 + 3 = 0

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6 0
3 years ago
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