If the area of a square room is 100 square meters, what is the length of one side of the room in meters?

Given:

The expression is -98 - 31.

To find:

The value of the given expression using the additive inverse.

Solution:

According to the  additive inverse, for any number a,

[tex]a+(-a)=0[/tex]

Using additive inverse, we have

[tex]98+(-98)=0[/tex]      ...(i)

[tex]31+(-31)=0[/tex]           ...(ii)

Now, using (i) and (ii), we get

[tex]98+(-98)+31+(-31)=0[/tex]

[tex](98+31)+(-98-31)=0[/tex]

[tex]129+(-98-31)=0[/tex]

Subtracting 129 from both sides, we get

[tex]-98-31=-129[/tex]

Therefore, the value of given expression is -129.

Answer:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Step-by-step explanation:

Answer:

8x + 3

Step-by-step explanation:

In the expression -3x + 14 - 11 + 11x, we have two pairs of like terms that can be combined together:

-3x, 11x

14, -11

If we rewrite this expression with the like terms together, it would look like this:

-3x+11x + 14-11

To make the addition of -3x and 11x easier, we could switch their places in the expression to make it look like this:

11x-3x + 14-11

(Note: Even though we are switching the terms' places, the -3x still keeps its negative sign when you move it around.

11x-3x is 8x and 14-11 is 3.

Therefore, the expression -3x + 14 - 11 + 11x can be simplified by combining like terms into 8x + 3.

Answer:

12 inches

Step-by-step explanation:

The Pythagorean's theorem states that a triangle's hypotenuse's length is equal to a^2+b^2=c^2.

9 is a, b is the length, and c is the 15.

9^2+b^2=225

225-81=144

The square root of 144 is 12, therefore 12 inches is the length.

Answer:

1620 peices

Step-by-step explanation:

9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches

1620 inches divided by 4 inches = 405 peices

:)

Answer:

Step-by-step explanation:

The mode in a given  set of data is the number that appears the most.

4 appears twice

5 appears twice

3 appears once

1 appears once

6 appears once

Answer:

4 out of the 6 possible numbers Josh wrote were greater than 480,000, while 2 out of the 6 possible numbers are less than 480,000

Step-by-step explanation:

The given parameters are;

The number with which Josh wrote the whole number = 8, 4, 7, 2, 9, and 0

The number in the thousands of the whole number that Josh wrote = 7

The number in the tens of the whole number that Josh wrote = 2

The value of the whole number that Josh wrote < 500,000

Therefore, we have;

The possible numbers in the hundreds of thousands place = 4, and 2

Which gives the following possible combinations;

The number of ways of selecting the first number = 1 way, the number is 4 to make the value less than 500,000

The number of ways of selecting the second number = 3 ways

The number of ways of selecting the third number = 1 way, the number is 7

The number of ways of selecting the fourth number = 2 ways as there are only two numbers left after filling the second place digit

The number of ways of selecting the fifth number = 1 way, the number is 2

The number of ways of selecting the sixth  number = 1 ways

The total number of possible number combinations = 3×2×1 = 6 possible numbers, which are;

487920 or 497820 or 407829 or 407928 or 487029 or 497028

Therefore, 2 out of the numbers are less than 480,000, the remaining 4 possible numbers are larger than 480,000.

Answer: my guess is 9

Answer:

there would be the 8 in the tens place and the 6 in the ones place

Step-by-step explanation:

you can see this in a place value chart

The value of X is 9.

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

2.16

Step-by-step explanation:

c = -0.3

24c² =

plug in c

24(-0.3)²

solve for the exponent

24(0.09)

multiply

2.16

Answer:

Fourth option

Step-by-step explanation:

We know that A and B are rational numbers because they can be written as the quotient of two integers. Therefore, that eliminates the first and third options because they state that (at least) one of the numbers is irrational but we know that both are rational, hence, they are incorrect. The second option is incorrect because A · B = [tex]\frac{mn}{pq}[/tex], not [tex]\frac{mp + nq}{pq}[/tex], therefore, the correct answer is the fourth option.

Answer:

False

Step-by-step explanation:

Complementary angles form a right angle (L shape) and have a sum of 90 degrees. Supplementary angles form a straight line and have a sum of 180 degrees.

Answer: Your answer will be [tex]\frac{-50}{5} =-10[/tex]

Step-by-step explanation: You will have

[tex](5)\frac{n}{5} =-10(5)[/tex] you will have to multiply 5 on both sides. So you will then simplify 5 and 5 to be left with n and multiply -10(5)=-50

So you get [tex]n=-50[/tex]

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

Answer:

Answer will be the 7/3<x>7/3

Answer:

If Z is a complex number:

Z = a + b*i

where a and b are real numbers, and i is an imaginary number.

Then "a" is the real part.

"b*i" is the imaginary part.

The conjugate of Z is:

Zc = a - b*i

So the sign of the imaginary part changes.

Then:

Sum:

Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a

and remember that a is a real number, then 2*a is also a real numer.

The correct answer is "A real number".

Difference:

Z - Zc = (a + bi) - (a - bi) = 2b*i

and this is a pure imaginary number, so here the correct answer is: "a pure imaginary number"

Answer: a pure imaginary number

explanation:

The sum of a complex number and its conjugate will always be two times the real part of that complex number.

Z=a+b*i

where a and b are real numbers, and i is an nonexistent number.

Then a is the real part.

"b*i" is the imaginary part.

The connection of Z is:

Zc = a - b*i

So the sign of the imaginary part changes.

Sum:

Z + Zc = (a + bi) + (a - bi) = 2*a + 0 = 2*a

and remember that a is a real number, then 2*a is also a real number.

The correct answer is "A real number".

Difference:

Z - Zc = (a + bi) - (a - bi) = 2b*i

Answer:

Step-by-step explanation:

The distance between B and C is ... 10. M(7, 1), N(4, –1). eSolutions Manual - Powered by Cognero. Page 2 ... Find the coordinates of G if F(1, 3.5) is the midpoint of ... Find the distance between each pair of points. ... approximated by a straight line, estimate the length of ... relationship between AB and each segment if you.

Answer:

the true one is all fractions containing integers are rational numbers is true

Step-by-step explanation:

i think

Answer:

All fractions containing integers are rational numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

First equation:

          15 - x = - 3

           -x = - 3 - 15

          -x  =  -18  (now negative signs on b.s cut eachother)

            [x  =  18]

Second equation :

         15 - x = 3

          -x = 3 - 15

          - x = -12 ( now negative sign on b.s cut eachother)

            [x = 12]

so x = 18 and x = 12 are not same

Answer: 6

Step-by-step explanation:

the biggest number that can go into both 24 and 18 evenly is 6. 24/6 is four, and 18/6 is three

Answer:

A≈110.11

using formula 1/4[tex]\sqrt5(5+2\sqrt5)a2[/tex]

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 9(x - 8) ← divide both sides by 9

[tex]\frac{y}{9}[/tex] = x - 8 ( add 8 to both sides )

[tex]\frac{y}{9}[/tex] + 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = [tex]\frac{1}{9}[/tex] x + 8

Answer:

[tex]x=2i-2,\:x=-2i-2[/tex]

Step-by-step explanation:

[tex]x^2 + 4x = -8\\\\\mathrm{Solve\:by\:completing\:the\:square}\\\\\mathrm{Write\:equation\:in\:the\:form:\:\:}x^2+2ax+a^2=\left(x+a\right)^2\\\\\mathrm{Solve\:for\:}a,\:2ax=4x:\quad a=2\\\\\mathrm{Add\:}a^2=2^2\mathrm{\:to\:both\:sides}\\\\x^2+4x+2^2=-8+2^2\\\\\mathrm{Simplify\:}-8+2^2:\quad -4\\x^2+4x+2^2=-4\\\\\mathrm{Complete\:the\:square}\\\left(x+2\right)^2=-4\\\\\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}\\[/tex]

[tex]\mathrm{Solve\:}\:x+2=\sqrt{-4}:\quad x=2i-2\\\\\mathrm{Solve\:}\:x+2=-\sqrt{-4}:\quad x=-2i-2\\\\x=2i-2,\:x=-2i-2\\[/tex]

Answer:

lolllll

Step-by-step explanation:

Answer:

Removing the outlier lowers the standard deviation by 1.09

Step-by-step explanation:

Find the standard deviation of the data WITHOUT the outlier first.

If you don't know how to do standard deviation, here are the steps:

1. Find the mean

2. Subtract the mean by the data set values

3. Square the differences

4. Add the squared numbers together and divide by the number of data set values

5. What you have now is the variance, and all you have to do now is square the variance and you have the standard deviation

Repeat this, but WITH the outlier this time.

Final step, just subtract the smaller number (answer you got from the data with the outlier) by the greater number (answer you got from the data without the outlier) and you have your answer: 1.09!

Answer:

A) measure the bearing of A from B

Answer:

26cm^2

Step-by-step explanation:

Base = 8cm

Height = 6.5cm

[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]

Substitute values into the given equation

[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]

Answer:

False.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 (=1×1×1)

8 (=2×2×2)

27 (=3×3×3)

64 (=4×4×4)