All categories

2 years ago

Simplify each.Assume that none of the variables is zero.

Mathematics

1 answer:

Zanzabum2 years ago

3 0

Answer:

2. 1 / a^2

3, 1

4. - 1

Step-by-step explanation:

Formulas : -

x^y / x^z = x^( y - z )

x^-y = 1 / x^y

x^y / x^y = 1

a^2 / a^4

= a^( 2 - 4 )

= a^-2

= 1 / a^2

m^6 / m^6 = 1

- 8^4 / 8^4

= - 1 x 8^4 / 7^4

= - 1

You might be interested in

Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours.

shutvik [7]

$29.25 in 3 hours. explanation: if he makes $9.75 in 1 hour then 9.75 x 3 (hours) would equal $29.25

7 0

3 years ago

Pls help me in these two little exercises about the slope.

den301095 [7]

Answer:

3) $y=\dfrac35x+\dfrac25$

4) a) $y=-2x+7$

b) $y=\dfrac12x+\dfrac92$

Step-by-step explanation:

<u>Exercise 3</u>

$-3x + 5y = 2$

$\implies 5y = 3x + 2$

$\implies y=\dfrac35x+\dfrac25$

<u>Exercise 4</u>

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ $m = -2$

If L2 passes through point (3, 1):

$y-y_1=m(x-x_1)$

$\implies y-1=-2(x-3)$

$\implies y=-2x+7$

So L2 = L1

b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ $m = \dfrac12$

If L3 passes through point (-5, 2):

$y-y_1=m(x-x_1)$

$\implies y-2=\dfrac12(x+5)$

$\implies y=\dfrac12x+\dfrac92$

4 0

2 years ago

Read 2 more answers

Easy question for easy points

poizon [28]

Answer:

50 berries left over

Step-by-step explanation:

55 berries 1700 berries

--------------- = -------------------

1 jar x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

5 0

3 years ago

Read 2 more answers

A. 18 is 20 percent of what number? B. 15 is 25 percent of what number? C. 12 is 30 percent of what number? D. 24 is 40 percent

3241004551 [841]

Answer:

18=x*.20

15=x*.25

12=x*.30

24=x*.40

39=x*.60

78=x*.30

Step-by-step explanation:

To solve for x on each, divide the number on the left of the equal side by the number x is being multiplied by. For example, 18/.20=x

5 0

3 years ago

Read 2 more answers

Tickets to a baseball game are 20 dollars for an adult and 15 dollars far a student. A school bus tickets for 45 adu6and 600 stu

yulyashka [42]

Answer:The total amount of money that the school will spend for tickets is $9900

Step-by-step explanation:

Tickets to a baseball game are 20 dollars for an adult and 15 dollars for a student. A school bus tickets for 45 adults and 600 students. This means that the total amount spent by the school on adult tickets is 20 × 45 = $900

The total amount spent by the school on students tickets is 15 × 600 = $9000

The total amount of money that the school will spend for tickets will be the sum of the amount spent on adult tickets and student tickets. It becomes

900 + 9000 = $9900

4 0

3 years ago

Simplify each.Assume that none of the variables is zero.​

Simplify each.Assume that none of the variables is zero.