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Nutka1998 [239]
3 years ago
6

Write an equation from the following points (plug in the numbers you would use for "m" and "b"):

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

y =\fracc{4}{3}x+5

m=4/3 and b=5

Step-by-step explanation:

We want to find the equation of the line passing through (3,9) and (6,13).

We determine the slope using:

m =  \frac{y_2-y_1}{x_2-x_1}

Let:

(x_1=3,y_1=9), (x_2=6,y_2=13)

We substitute the points to get:

m =  \frac{13 - 9}{6 - 3}  =  \frac{4}{3}

We now use the formula:

y-y_1=m(x-x_1)

We substitute to get:

y - 9 =  \frac{4}{3} (x - 3)

Multiply through by 3 to get;

3y - 27 = 4(x - 3)

We expand further to get:

3y - 27 = 4x - 12

This implies that:

4x - 3y  = - 15

We solve for y to get:

y =\fracc{4}{3}x+5

Therefore m=4/3 and b=5

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2 years ago
Determine the factors of x2 − 12x − 20.
FrozenT [24]

Answer:

Step-by-step explanation:

Synthetic division is one way to determine whether or not a given number is a root of the quadratic.  x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:

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3 years ago
Solve the inequality for x<br><br> 20x &gt; 8(4x - 5) - 20
UNO [17]
Hi there! I can help you with this! First, let's combine like terms and do everything for the right side of the problem. When you do the distributive property, you get 32x - 40. Combine like terms and you'll get 32x - 60. Now, the inequality is 20x = 32x - 60. First, let's subtract 32x from both sides to get the integer by itself. When you do that, you get -12x = -60. Now, divide each side by -12 to isolate the "x". -60/-12 is 5. Let's plug it in. 20 * 5 is 100. 32 * 5 is 160. 160 - 60 is 100. 100 = 100. There. x = 5.
4 0
3 years ago
Read 2 more answers
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