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3 years ago

Apply the distributive property to factor out the greatest common factor. 24+32p =

Mathematics

2 answers:

lyudmila [28]3 years ago

8 0

Answer: 8(4p + 3)

Step-by-step explanation: Let's first rewrite this as 32p + 24.

If you're asked to factor a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.

So what is the greatest common factor between 32p and 24?

Well if you use a factor tree, you'll figure out that the greatest common factor between 32p and 24 is 8.

What that means is that 2 factors out of this polynomial and what you're left with is each of these terms divided by the number that factors out.

In other words 32p divided by 8 or 4p and 24 divided by 8 which is 3.

So your answer is 8(4p + 3) and that is a factored version of 24 + 32p.

Elan Coil [88]3 years ago

8 0

Answer:

8(4p + 3)

Step-by-step explanation:

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Artyom0805 [142]

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3 years ago

Find the equation to the line below.

ZanzabumX [31]

Answer:

$y = \frac{4}{5}x - 1$

Step-by-step explanation:

Every time the line moves 5 units to the right, it moves up 4 units as well. Since the slope is the difference in y divided by the difference in x, the slope is 4/5. In addition, the y-intercept is -1. Therefore, the equation of this line is $y = \frac{4}{5}x - 1$ .

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2 years ago

Determine which set of numbers can be the measures of the sides of a triangle.

klemol [59]

Answer:

a) 13, 10, 16

Step-by-step explanation:

The usual form of the triangle inequality requires the sum of the two shortest sides exceed the longest side (a+b>c). The only choice for which this is true is ...

10 + 13 > 16 . . . . choice A

_____

<em>Comment on the triangle inequality</em>

Some authors also allow the sum to equal the longest side (a+b≥c). In that case, choice B (1+2=3) is also an answer. This "triangle" would look like a line segment of length 3. It has zero area.

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4 years ago

Read 2 more answers

1.Find the slope of the line through (-6, 11) and (15, 20).

GrogVix [38]

Answer:

$\boxed {\boxed {\sf m= \frac{3}{7} }}$

Step-by-step explanation:

We are asked to find the slope of a line. The slope tells us the steepness and direction of a line. It is found by dividing the change in y by the change in x.

$m= \frac{ \Delta y }{\Delta x}$

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

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 11) and (15,20). If we match a value with its corresponding variable, we see that: