All categories

3 years ago

Please help me with this

Mathematics

1 answer:

Eduardwww [97]3 years ago

5 0

Answer:

$r^{6}$

Step-by-step explanation:

Using the rule of exponents

$\frac{a^{m} }{a^{n} }$ = $a^{(m-n)}$ , then

$\frac{r^{9} }{r^{3} }$ = $r^{(9-3)}$ = $r^{6}$

You might be interested in

Help me asap please!

Fantom [35]

1.82 x 10^-6

When it is a negative number, you move the decimal to the left.

0.00000182

6 0

3 years ago

Find the greatest common factor of 84 and 36, showing how you got your answer. Then, using complete sentences,

Romashka-Z-Leto [24]

Answer:

greatest common factor is 12

Step-by-step explanation:

12*7 = 84

12*3 = 36

this means that this is the factor that they both share that has the highest value out of all the factors they share

5 0

3 years ago

A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point

denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(-7, -1) and (8, 7)

substitute

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{289}$

$r=17\ units$

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

$(x-h)^2+(y-k)^2=r^2$

where

(h,k) is the center

r is the radius

substitute the values

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=289-64$

$(y+1)^2=225$

square root both sides

$(y+1)=(+/-)15$

$y=-1(+/-)15$

$y=-1(+)15=14$

$y=-1(-)15=-16$

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=16%20%5Cdiv81%20%5C%3A%20%20-%203%20%5Cdiv%204" id="TexFormula1" title="16 \div81 \: - 3 \div

LUCKY_DIMON [66]

Answer:

16/81-3/4[

=[16×4-3×81]/[81×4]=-179/324 is your answer

6 0

3 years ago

A row of lockers covers 160 square feet of space along a wall. If the lockers are 5 feet tall, what length along the wall will t

kozerog [31]

So you take 160 and divide it by 5. 160 divided by 5 is 32. They cover 32. Hope this helps you.

5 0

4 years ago

Read 2 more answers