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3 years ago

Is x to the sixth power equal to (x squared) to the third power?

Mathematics

1 answer:

Sveta_85 [38]3 years ago

3 0

YES

We know: $(a^n)^m=a^{n\cdot m}$

We have: $x^6=x^{2\cdot3}=(x^2)^3$

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Find the Measurements of the arc or angle indicated.

mamaluj [8]

Answer:

5) 126

6) 116

Step-by-step explanation:

5) m∠NLM is equal to the arc MN, or 63x.

To find x, use the inscribed angle theorem.

32x − 1 = ½ (63x)

64x − 2 = 63x

x = 2

Therefore:

m∠NLM = 63(2)

m∠NLM = 126

6) Using the same logic:

9x + 4 = ½ (19x + 2)

18x + 8 = 19x + 2

x = 6

Therefore:

mYX = 19(6) + 2

mYX = 116

7 0

2 years ago

Margie's car can go 32 miles on a gallon of gas, and gas currently costs $4 per gallon. How many miles can Margie drive on $20 w

Rudiy27

32 miles = 4 dollars per gallon.

32 * 5 = 160

160 miles on 20 dollars of gas.

5 0

2 years ago

First twelve numbers<br> Add 15, subtract 10 (first term: 4)

astra-53 [7]

Answer:

1st- 4, 2nd- 9, 3rd- 14, 4th- 19, 5th- 24, 6th- 29, 7th- 34, 8th- 39, 9th- 44, 10th- 49, 11th- 54, 12th-59

Step-by-step explanation:

1st- 4

2nd- 4+15-10= 9

3rd- 9+15-10=14

4th- 14+15-10=19

5th- 19+15-10=24

6th- 24+15-10=29

7th- 29+15-10=34

8th- 34+15-10=39

9th- 39+15-10=44

10th- 44+15-10=49

11th- 49+15-10=54

12th-54+15-10=59

4 0

2 years ago

School starts in 45 minutes and you live 13 miles from school. What average speed (in miles per hour) would allow you to arrive

Ahat [919]

Answer:

8.2 minutes

So 13 miles would take you roug.hly 8.2 minutes... so going the average speed limit would get you there very

Step-by-step explanation:

3 0

2 years ago

One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necess

Amanda [17]

Answer:

17.7 cm

Step-by-step explanation:

One of the legs of a right triangle measures 12 cm and the other leg measures 13 cm find the measure of the hypotenuse if necessary round the nearest 10th

To find the Hypotenuse of a right angle triangle, we solve using Pythagoras Theorem

Hypotenuse ² = Opposite ² + Adjacent ²

Hypotenuse = √Opposite ² + Adjacent ²

Opposite = 12 cm

Adjacent = 13 cm

Hence,

Hypotenuse = √12² + 13²

= √144 + 169

= 17.691806013 cm

Approximately = 17.7 cm

Therefore, the measure of the Hypotenuse is 17.7 cm

6 0

3 years ago