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3 years ago

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

4x2 divided by 2x

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

This shows 2x is a factor.

8xy divided by 2x

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 2x

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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Jill grew 40 flowers with 4 seed packets. With 5 seed packets, how many total flowers can Jill have in her garden? Solve using u

ad-work [718]

The answer is 50
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3 years ago

Csc x - sin x = cot x • cos x

bearhunter [10]

1) expand csc and cotx identity

(1/sinx)-sinx = (cosx/sinx)*(cosx)

2) get common denominator on the left side

(1-sin^2x)/(sinx)= (cos^2x)/sinx

3) using cos^2x+sin^2x=1 you finished
cos^2(x)/sinx= cos^2(x)/sinx

hope that helps

3 0

3 years ago

Candace drives a total of 48 miles each day to get to work and back home. She works 5 days a week. Her car gets 21 miles per gal

vichka [17]

Answer:

11.43 gallons used exactly per week asuming not changes in schedule or any other reasons to drive and that a one way trip is 24 miles.

Step-by-step explanation:

48 as total for two trips

five of these need to be done, so 240 miles a week assuming no other reason to drive

240 / 21 = 10 with remainder 30

so 11 and remainder 9

9/21 = nearly .43 gallons, which means as a minimum she shouldn't go below 11.5 and better yet 12 gallons.

5 0

3 years ago

Determine which of the following equations are perpendicular to each other. I. y=-3x+2

iogann1982 [59]

Write each equation in y = mx + b form so that you can compare the slopes.
Perpendicular slopes are opposite reciprocals.
For example: 2/3 and - 3/2; 4/5 and -5/4; 1/2 and -2

I. y = -3x + 2 m = -3
II. y = 3/2 x + 1/2 m = 3/2
III. y = - 1/3x + 1/3 m = -1/3
IV. y = 1/3x + 9 m = 1/3 (I assuming this one had a typo in it since there is no equal sign.)
LETTER B is the answer I & IV

4 0

4 years ago

Question is in the picture:::

Leviafan [203]

Answer:

160

Have a great day!

6 0

3 years ago