Which points are separated by a distance of 5

Simplify x^3 y^3 / x^3 y^3

Marysya12 [62]

Answer:

$\frac{1}{y}$

Step-by-step explanation:

When simplifying an exponent a way to do is to expand the exponent. This means that it will now be

$\frac{x*x*x*y*y*y}{x*x*x*y*y}$

Whenever you see an x or y on the numerator and denominator cross it out because it is the same thing as 1

When you cross out all of the x's and y's the only variable left is y in the denominator. This means that the answer is $\frac{1}{y}$

5 0

3 years ago

Express the number in scientific notation. 780,000,000

Aloiza [94]

Scientific notation implies that all the zeros are taken away and replaced with a 10 raised to whatever appropriate power would be necessary to make the number in scientific notation equal to the original number.

In the number 780,000,000, we can see that there are 7 zeros, but the number before the zeros has two digits, so we need to tuck the decimal point in there, because the number has to be between 1 and 10 for math reasons.

7.8 ... but what do we raise it to? We know it has to be 10, but to what power? Well, we just count how many places to the left the decimal point has traveled. From the original number, the decimal point shifted 8 places to the left, so that is the number that we will raise the 10 to.

The final number looks like this:

$7.8 * 10^8$

780,000,000 in scientific notation is <span> $7.8 * 10^8$
Hope that helped =)</span>

4 0

3 years ago

Read 2 more answers

For each part, give a relation that satisfies the condition. a. Reflexive and symmetric but not transitive b. Reflexive and tran

Vesnalui [34]

Answer:

For the set X = {a, b, c}, the following three relations satisfy the required conditions in (a), (b) and (c) respectively.

(a) R = {(a,a), (b,b), (c, c), (a, b), (b, a), (b, c), (c, b)} is reflexive and symmetric but not transitive .

(b) R = {(a, a), (b, b), (c, c), (a, b)} is reflexive and transitive but not symmetric .

(c) R = {(a,a), (a, b), (b, a)} is symmetric and transitive but not reflexive .

Step-by-step explanation:

Before, we go on to check these relations for the desired properties, let us define what it means for a relation to be reflexive, symmetric or transitive.

Given a relation R on a set X,

R is said to be reflexive if for every $a \in X, (a,a) \in R$ .