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tatiyna
2 years ago
15

Simplify the expression: x7 · y3 · x8 · y2

Mathematics
1 answer:
OLga [1]2 years ago
5 0
X^15 times y^5.
When you multiply numbers with the same base, you simply add the exponents.
You might be interested in
Which expression represents the prime factorization of 108?
ankoles [38]

Answer:

2×2×3×3×3

Step-by-step explanation:

●108=

•2×54

•2×27

•3×9

• 3×3

Writing the prime numbers;

108=2×2×3×3×3

4 0
2 years ago
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

y-(3)=-1(x-(-9))

Simplify:

y-3=-(x+9)

Distribute:

y-3=-x-9

Add 3 to both sides. So, our equation is:

y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

Evaluate for r. Distribute:

r=10-6

Subtract:

r=4

So, the value of r is 4.

And we're done!

6 0
2 years ago
Question 21
RUDIKE [14]

Answer:

y=-2x+1

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of one another.  slope 1/2 perpendicular will be -2/1=-2

y-5=-2(x-(-2))

y-5=-2(x+2)

y-5=-2x-4

y=-2x-4+5

y=-2x+1

6 0
3 years ago
The circumference of the circle shown below is 75 inches. Which expression
MrRissso [65]

Answer:

B. 360 .75

Step-by-step explanation:

The circumference of the circle is represented by π * diameter of the circle. The circumference of the circle is its perimeter. The circumference is arc length of the circle.  The perimeter is curve length around the figure of the circle. The circumference of the circle of 75 inches is represented by 75/360.

3 0
3 years ago
a rectangular playground has a preimeter of 180 feet.if the length is 12 feet longer than the width, what are the dimensions of
jeka94
Perimeter = w + w + l + l
180= w+w+w+12+w+12
The dimensions for width are just w and for length it's w+12
4 0
3 years ago
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