Answer:
We have the sentence:
"X by the power of 5 times y to the power of 6 over 2 by the power of -2 times x by the power of 0times x by the power of 9"
Let's break it into parts.
"X by the power of 5 times y to the power of 6..."
This can be written as:
x^5*y^6
"... 2 by the power of -2 times x by the power of 0times x by the power of 9"
This can be written as:
2^(-2)*x^(0)*x^(9)
And we have the quotient between the first thing and the second thing, then the equation is:

And any number by the power of 0 is equal to 1, then:
x^0 = 1, then we can rewrite the equation as:

We can keep simplifying this.
We know that:
a^(-n) = (1/a)^(n)
Then:
2^(-2) = (1/2)^2 = 1/4
Then we get:

And we also know that:
a^n/a^m = a^(n - m)
Then:

And we can't simplify this anymore.
The point with the greatest distance to the origin is given by:
B. (-3, 3).
<h3>What is the distance between two points?</h3>
Suppose that we have two points,
and
. The distance between them is given by:

The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:
D = sqrt(x² + y²).
Hence the distances for each point given in the problem are:
- A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
- B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
- C. Distance = sqrt((4)² + 0²) = sqrt(16).
- D. Distance = sqrt((2)² + 3²) = sqrt(13).
Hence option B has the greatest distance.
More can be learned about the distance between two points at brainly.com/question/18345417
#SPJ1
Answer:
4 
Step-by-step explanation:
The additive inverse is the value that must be added to the number to give zero.
- 4
+ 4
= 0
↑ additive inverse
Answer:
A
Step-by-step explanation:
If you plot the point on a cartesian plane you see it is on the y axis
Answer: 350
Step-by-step explanation:
Let the cheeseburger be represented by a.
Since there were 51 fewer cheeseburgers sold than hamburgers. This means that hamburgers will be:
= a + 51.
Since the local hamburger shop sold a combined total of 649 hamburgers and cheeseburgers. This will be:
a + a + 51 = 649
2a + 51 = 649
2a = 649 - 51
2a = 598
a = 598/2
a = 299
299 cheeseburger were sold
Therefore, the number of hamburger sold will be:
= 649 - 299
= 350