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3 years ago

13

Enter the reciprocal of the number. Write your answer in its simplest form.

1 answer:

notka56 [123]3 years ago

4 0

12/1 or in simplest form 12. Hope this helps!

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Which of the following angle pairs best describes angles 6 and 4 in the graphic below?

andriy [413]

Answer: Choice C) Same-side interior angles

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Angle 4 and angle 6 are on the same side, in this case the right hand side of the transversal line (line t). In addition, they are on the interior of the "train tracks" horizontal lines (line a and line b). Combine this and this is why the two angles are same-side interior angles

Side note: if line a is parallel to line b, then angle 4 and angle 6 add to 180 degrees. At this point, they are considered supplementary.

8 0

3 years ago

The box-and-whisker plot represents the lengths (in minutes) of movies being shown at a theater.

GaryK [48]

Answer:

20

Step-by-step explanation:

130-110

Q3-Q1=IQR

Hope this helps!

3 0

2 years ago

Read 2 more answers

Someone Please Help Me!

Juli2301 [7.4K]

This is 1/2 to 1/10

multiply each fraction by 10:-

= 5 : 1

The answer is 5 Choice D

4 0

3 years ago

Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

3 years ago

Expand and Simplify (x-2)^2

Soloha48 [4]

Answer:

$\boxed{\ x^2-4x+4 \ }$

Step-by-step explanation:

$(x-2)^2 = (x-2)(x-2)=x(x-2)*-2(x-2)=x^2-2x-2x+4=x^2-4x+4$

3 0

3 years ago