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Mrrafil [7]
3 years ago
15

What number fills in the blank to complete the factorization of 3x + 24? (x + 8)

Mathematics
2 answers:
zepelin [54]3 years ago
7 0

Answer:

Step-by-step explanation:

3x + 24 = (3)(x) + (3)(8)

You can see that there is multiplier 3 near x and 8. You can factor it and make

3x + 24 = 3(x + 8)

So, the answer is 3. Hope this helps!

alex41 [277]3 years ago
3 0
3x + 24 = (3)(x) + (3)(8)
You can see that there is multiplier 3 near x and 8. You can factor it and make
3x + 24 = 3(x + 8)
So, the answer is 3. Hope this helps!
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The distance formula is the radical (x2-x1)2 + (y2-y1)^2. So for the x value, you subtract (-1) from 8. But be careful. It’s not 8-1. IT’S 8-(-1). Which x value, 9 should be squared. Which it is 81. The y value, you subtract 0 from 6. Which you should have 6 as your y value. Then, again you have to squared it. So, 6^2 is 36. Now that you have both of your x and y value, you have to subtract them again. In order to subtract, you subtract the y value from the x value. In other words, 81-36. The answer should be 45. But 45 is irrational. Because it can’t be rational under the radical form. So to simplified it, you have to find a number that is rational enough to get out from the inside of the radical form. The only number that would work is 9 and 5. So rad 9 is rational because it could escape from the inside. Which it’s 3 once it’s out. But, 5 is irrational and can’t go out. As a result, the answer is 3 rad 5. Or the 3 is outside of the radical form and 5 is the inside.
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4 years ago
What is the slope-intercept form of (-2,1) and (4,6)
mash [69]

Answer:

y = \frac{5}{6} x + \frac{8}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)

m = \frac{6-1}{4+2} = \frac{5}{6} , thus

y = \frac{5}{6} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 6 ), then

6 = \frac{20}{6} + c ⇒ c = 6 - \frac{20}{6} = \frac{16}{6} = \frac{8}{3}

y = \frac{5}{6} x + \frac{8}{3} ← equation of line

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