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Oduvanchick [21]
3 years ago
10

Explain why 2x is a common factor of the three expressions below 4x2, 8xy and 6wx

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

2x is a common factor because it can be used to dive all three values without a remainder

Step-by-step explanation:

A factor is a number that can divide another number perfectly. That is without anything remaining.

We will now divide each of the expressions by 2x to show that 2 x is a factor of all three expressions

<em>4x2</em> divided by <em>2x</em>

In this, <em>2x</em> will cancel out <em>x2</em> to give 4 as the answer.

This shows 2x is a factor.

<em>8xy</em> divided by <em>2x</em>

In this, x will divide x to give 1

2 will divide 8y to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

6wx divided by <em>2x</em>

In this, x will divide x to give 1

2 will divide 6w to give 4y.

This shows 2x is a factor, since there was a perfect division throughout.

Therefore, 2x is a common factor of the three expressions below 4x2, 8xy and 6wx

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Luke and Inga are riding the Prince Charming Carousel at Disney World. Luke is on a horse 17 feet from the center. Inga is on a
wlad13 [49]

Answer:

Luke's angular speed = 188.49 rad/sec

Inga's angular speed = 188.49 rad/sec

Step-by-step explanation:

Data provided in the question:

Distance between the center and Luke = 17 feet

Distance between the Inga and center = 25 feet

Frequency of rotation, f = 30 rpm

Now,

Angular speed, ω is given as = 2πf

thus,

ω = 2π × 30

or

ω = 188.49 rad/s

here the angular speed is independent of radius

Therefore,

Luke's angular speed = 188.49 rad/sec

Inga's angular speed = 188.49 rad/sec

7 0
3 years ago
??????? Help please please
Alborosie
I am pretty sure you can only make one.
 If two sides are known, and one of the angles, then the other bits can be deduced and are fixed.
6 0
3 years ago
Find the slope of the line containing the two points.<br><br> (2,5),(-3,-2)<br><br> Please show work
HACTEHA [7]

Answer:

7/5

Step-by-step explanation:

To solve this problem we will use the formula to find the slope of a line given two points (x₁, y₁), (x₂, y₂)

The formula is:

m= \frac{y{_2} -y_{1}}{x_{2}-x_{1}  } \\\\

So, we're going to use the points (2,5), (-3, -2) in this formula.

m= \frac{-2-(5)}{-3-(2)} \\m=\frac{-2-5}{-3-2}\\m=\frac{-7}{-5} \\m=\frac{7}{5}

Therefore, the slope is 7/5

8 0
3 years ago
Can someone help me on all of them I would appreciate it so much!
katovenus [111]
I hope this helps !!

3 0
2 years ago
I dont know number 1 please help
amm1812
The answer is C to this question

5 0
4 years ago
Read 2 more answers
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