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2 years ago

Factor the linear expression: 15x + 6

Mathematics

1 answer:

Grace [21]2 years ago

5 0

Answer:

3(5x +2)

Step-by-step explanation:

15 and 6 have a common factor of 3.

15x +6 = 3(5x +2)

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3 yards of fabric for $13.47

kumpel [21]

Are you looking for the unit price?

If so, you would divide 13.47 by 3.

This would give you $4.49 per yard.

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2 years ago

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State the Limits Rule and explain what it means

Evgen [1.6K]

Answer:

The limit of a sum is equal to the sum of the limits.

Step-by-step explanation:

The limits of a constant times a function is equal to the constant times the limit of the function.

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2 years ago

12/30 and 18/45 <br> Whats the relationship between these two? Proportional or Not Proportional?

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Proportional

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2 years ago

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Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

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2 years ago

How much would a 10th dog have to weight for the average weight in part (a)

andreyandreev [35.5K]

132LB

...............

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3 years ago