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Mademuasel [1]
2 years ago
6

Help it’s for a quiz

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

Answer:

i cant answer that

Step-by-step explanation: I cant answer because if it was for a quiz i bet the quiz is over now so there is no point in answering.

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If the difference of two numbers is even then so is their sum.
Nutka1998 [239]

Answer and explanation:

Statement - If the difference of two numbers is even then so is their sum.

Let the two even numbers be '2m' and '2n' with m and n are integers.

The difference of two number is

2m-2n=2(m-n)

Now, The sum of the numbers is

2m+2n=2(m+n)

Let m+n=k where k is an integer

Then, 2m+2n=2k which is also an even number as 2 is multiplied with it.

So, If the difference of two numbers is even then so is their sum.

For example -

Let two even number 2 and 4.

The difference is 4-2=2, 2 is even.

The sum is 4+2=6, 6 is even.

4 0
3 years ago
Write a two-columm proof
Nastasia [14]

Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal

so 2x+6 should be equal to 96

so 2x + 6 = 96

Now we have to solve for x here and have to get x by itself on left hand side

So first get rid of +6 by doing its opposite -6 on both sides

2x + 6 -6 = 96 -6

2x = 90

Now to get x by itself we have to get rid of 2, for that divide both sides by 2

\frac{2x}{2} = \frac{90}{2}

x = 45

Hence proved that x = 45

4 0
3 years ago
To rationalize the denominator of 2/square 13+ squared 11 , you should multiply the expression by which fraction?
eimsori [14]

<u><em>Answer:</em></u>

You should multiply the expression by \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}

<u><em>Explanation:</em></u>

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

<u>This means that:</u>

The conjugate of a + b would be a -  b

Now, the given expression is \frac{2}{\sqrt{13}+\sqrt{11}}

<u>Consider the denominator:</u>

From the above, we can conclude that the conjugate of \sqrt{13}+\sqrt{11} is \sqrt{13}-\sqrt{11}

<u>And, remember that</u> we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

<u>Therefore:</u>

You should multiply the expression by \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}} in order to rationalize the denominator

Hope this helps :)

5 0
3 years ago
Read 2 more answers
A rental car company offers a rental package for a mid-size car.
skelet666 [1.2K]

Answer:

y=45x+40

Step-by-step explanation:

Let

x -----> the number of days

y ----> the total cost in dollars,

we know that

The equation of a linear function in slope intercept form is equal to

y=mx+b

where

m is the slope o rate of the linear equation

b is the y-coordinate of the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem we have

The slope is equal to the rental cost per day

so

m=45\frac{\$}{day}

When the number of days is equal to zero (x=0) the total cost is equal to $40 (administrative fee for the cleaning and maintenance of the car)

The y-intercept is the point (0,40)

so

b=\$40

substitute the values

y=45x+40

8 0
3 years ago
An equilateral triangle with the perimeter of 90cm, what is the length of its side?
Vanyuwa [196]

Answer:

The length of its side is 30 cm

Step-by-step explanation:

<h3><u>Given</u><u>:</u></h3>

An equilateral triangle with the perimeter of 90cm.

In a Equilateral Triangle all sides are equal

i.e., all 3 sides are equal

Now,

90/3 = 30 cm

Thus, The length of its side is 30 cm

<u>-TheUnknownScientist</u><u> 72</u>

3 0
2 years ago
Read 2 more answers
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