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Liula [17]
3 years ago
6

How does (x^3)^3 = x^6 ?

Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

It does not, unless x=0 or x=1

If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of (x^3)^3=(x^3)(x^3)(x^3)=x^9

At this point you're being asked if x^9=x^6 and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also -1 was a possible candidate, but alas 9 is odd).

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The hypotenuse of right triangle is 116 meters long. The difference between the other two sides is 4 meters. Find the missing si
Scilla [17]

Answer:

Longer side = 84 meters

Shorter side = 80 meters

Step-by-step explanation:

The hypotenuse is the longest side of the right angle triangle. Let x represent the length of the longer side of the triangle. The difference between the other two sides is 4 meters. It means that the length of the shorter side is x - 4

Applying Pythagoras theorem which is expressed as

Hypotenuse² = longer side² + shorter side²

Therefore,

116² = x² + (x - 4)²

13456 = x² + x² - 4x - 4x + 16

2x² - 8x + 16 - 13456 = 0

2x² - 8x - 13440 = 0

Dividing through by 2, it becomes

x² - 4x - 6720

x² + 80x - 84x - 6720 = 0

x(x + 80) - 84(x + 80) = 0

x - 84 = 0 or x + 80 = 0

x = 84 or x = - 80

Since the length cannot be negative, then

x = 84

Length of shorter side is

84 - 4 = 80

5 0
3 years ago
In the figure BC || DE . Angles__________
SashulF [63]

Answer:

angles CAF and EFH, because they are corresponding angles and transitive  

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
7 A polygon has the following coordinates: A(2,-2), B(-4,-4), C(-4,-1), D(-2,3), E(1,3), F(2,5). Find the length of BC. A. 4 uni
vesna_86 [32]

Answer:

B.

Step-by-step explanation:

Well to find BC, you have to know B and C

B = (-4, 4)

C = (-4, -1)

The distance is:

√(4 + 1)^2 + (-4 + 4)^2

√25

5

7 0
4 years ago
Maya is helping a gardener plant 300 bulbs. They plant 20% of the bulbs on Monday and 30% of the bulbs on Tuesday. Maya says thi
Katyanochek1 [597]

Answer:

because the total is 300 not 100 so 50 is not reasonable because that is the percentage they planted and since it is more than 100 then it should be a percent of 300 not 100. Maya is wrong about placing 50 bulbs instead they placed 150.

Step-by-step explanation:

8 0
3 years ago
Help me out sophmore math level please please
Masja [62]

Answer:

Lol luckly we both in the same grade working on the same stuff but the answer is 10

Step-by-step explanation:

8x-12... 6x+8

like terms-- 8x-6x & 12+8

                      2x=20

Whats 20 divided by 2

10..!!!!!!

5 0
3 years ago
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