All categories

3 years ago

Please help! Thank you so much!

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

A- Rational

Step-by-step explanation:

If a and b are rational and b is not zero, then a/b is also rational. Indeed, if a=m/n and b=p/q, where m,n,p, and q are integers, then a/b=mq/pn, i.e. it is also a ratio of two integers, and is therefore rational.

You might be interested in

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

The lengths of the sides of a triangle are 17, 8 and n. Which of the following must be true

Taya2010 [7]

N is either 17 or 8.

3 0

4 years ago

On a coordinate plane, line A has a negative slope, line b is horizontal, line c is vertical, and line d has a positive slope.

Digiron [165]

Answer:

Step-by-step explanation:

It cannot be line a or line d because the line will have a constant rate of change. It cannot be line c because line c would be undifined. Therefore, it must be line b.

4 0

3 years ago

* 14 * x=2 * 28 . What x equal ?

AlladinOne [14]

Answer:

answer is 4

Step-by-step explanation:

look at picture

3 0

3 years ago

Read 2 more answers

A group of three friends

Darina [25.2K]

Answer:

Step-by-step explanation:

Each of the three friends orders a combo. If each drink is $2.50 and there are three drinks, that means the total cost of the pizza is $24. There are three combos, each with two slices of pizza, meaning there are six slices of pizza total. Then you divide 24 (the total cost of the pizza) by 6 (the total amount of slices), getting $4 per slice.

8 0

2 years ago