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4 years ago

What is the sum of any rational number and its opposite and why

Mathematics

1 answer:

VladimirAG [237]4 years ago

8 0

Answer:

Step-by-step explanation:

If by opposite you mean...

1 opposite is -1

If so then its 0 because any rational number and its reciprocal is always 0 its math crazy stuff

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Find the output when the input is -2: y = -3x -5

mrs_skeptik [129]

Answer:

546584yrtrdyfy

Step-by-step explanation:

6 0

3 years ago

Jayesh is looking into joining a gym. He has a budget of $65 per month. The gym he wants to join has fees based on the number of

puteri [66]

Number of visits can be only a whole number, the solution should be 9 visits

8 0

3 years ago

13. Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet

VashaNatasha [74]

Answer:

The height of the dog house = 4 feet.

Step-by-step explanation:

Given:

The shape of the dog house is like a tent.

The slant heights of the house is 5 feet.

The bottom of the house is 6 feet across.

To find the height of the dog house at its tallest point.

Solution:

On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.

Thus, we ave a right triangle, of which one leg = $\frac{6\ ft}{2}=3\ ft$ and hypotenuse = $5\ ft$

<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

$Hypotenuse^2=Leg1^2+Leg2^2$

Plugging in values.

$5^2=3^2+Leg2^2$

$25=9+Leg2^2$

Subtracting both sides by 9.

$25-9=9-9+Leg2^2$

$16=Leg2^2$

Taking square root both sides.

$\sqrt{16}=\sqrt{Leg2^2}$

$4=Leg2$

Thus, the height of the dog house = 4 feet.

6 0

4 years ago

Can someone solve this problem in a sheet of paper step by step because I want to know how to do this. Please

Yuki888 [10]

$\bf \begin{array}{llr} \stackrel{p_n}{term}&\stackrel{3n-11}{value}\\ \cline{1-3} \\ p_1&3(1)-11\implies &-8\\ p_2&3(2)-11\implies &-5\\ p_3&3(3)-11\implies &-2\\ p_4&3(4)-11\implies &1\\ p_5&3(5)-11\implies &4\\ p_6&3(6)-11\implies &7 \end{array}$

3 0

3 years ago

Which statements are true for verifying the solution set of StartAbsoluteValue negative 2 x + 8 EndAbsoluteValue less-than 12 as

mariarad [96]

Answer:

I had to go back and double check, this was kind of confusing asking if saying this statement is true or false is true or false. So keep your eye on that. as long as x is between (but not equal to) -2 and 10 then the inequality is true. Fromt here you have to see if the option is SAYING it is true or not.

Step-by-step explanation:

I am assuming this is saying |-2x+8|<12 as -2 < x < 10

Substituting 10 for x into the original inequality will create a false statement.

True, since x has to be explicitly LESS THAN 10, not equal

Substituting 6 for x into the original inequality will create a false statement.

False, 6 is greater than -2 and less than 10

Substituting 20 for x into the original inequality will create a true statement.

False, greater than 10

Substituting –20 for x into the original inequality will create a false statement.

True. Kinda confusing since it is asking if it is a false statement. It is TRUE that it is a false statement.

Substituting –10 for x into the original inequality will create a true statement.

False, x needs to be between -2 and 10 (explicitly between and not equal to) to be true.

Substituting 0 for x into the original inequality will create a true statement

True, it is between -2 and 10

8 0

3 years ago

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