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3 years ago

Factoring expressions: 17x-34xy

Mathematics

2 answers:

Katarina [22]3 years ago

8 0

17x(1-2y)

17x-34xy

because both expressions have a x, it would be easier to factor out the x first. but because 17 is a factor of 34 you can simply divide 34 by 17 and get 2. so you put it together to this,

17x(1-2y)

Because, 17x times 1 is 17x but 17x times -2y would be -32xy.

Umnica [9.8K]3 years ago

3 0

Answer:

17x(1-2y)

Step-by-step explanation:

1) so "x" is common in this expression so lets take that out first:

x(17-34y)

2) but 17 is also common since 17*2=34 so lets take "17" out:

17x(1-2y)

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Dmitrij [34]

Answer:

Step-by-step explanation:

Remark

The easiest way to do this is to Substitute for y in the top equation.

2x + 4y = 18 Divide by 2

2x/2 + 4y/2 = 18/2

x + 2y = 9

Substitute -3x + 2 in for y in the equation above

x + 2(-3x + 2) = 9

x - 6x + 4 = 9

Combine like terms on the left

-5x + 4 = 9

Subtract 4 from both sides.

-5x + 4-4 = 9- 4

-5x = 5

Divide by -5

-5x/-5 = 5/-5

x = - 1

That makes A and C incorrect.

y = -3x + 2

y = -3(-1) + 2

y = 3 + 2

y = 5

The correct answer should be (-1,5) which is B

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3 years ago

At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad

sertanlavr [38]

Answer:

The length of the person’s shadow is 5.7ft

Explanation:

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the rules of trigonometry

$\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}$

$\frac{a}{b}=\frac{c}{d}$

$\frac{35}{50}=\frac{4}{d}$

35d=200

d= $\frac{200}{35}$

d=5.7ft

Hence, The length of the person’s shadow is 5.7ft.

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3 years ago

In the diagram, DEC is a

Leya [2.2K]

Step-by-step explanation:

This is a reflection. A reflection is a transformation involving two shapes looking the same by "bouncing it off a line without coming back.( meaning a reflection goes some where else not to it original poistion.)

Others reason why Why?

Line m is perpendicular to Line c.

B and E are equidistant from c that BC=CE.

Why the others are wrong.

While you could rotate this triangle 180 degrees, the transformation occurs about a line not a point. So using a rotation is wrong.

A translation doesnt occur about a line.

A guide reflection doesnt work since the transformations are already mapped correctly if you do the reflection. It doesnt need a translation.

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