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3 years ago

Simplify. Explanation if you can.

Mathematics

1 answer:

leonid [27]3 years ago

5 0

Answer:

Step-by-step explanation:

This expression uses the idea of exponential edition. The basis is, when you have the same base number being multiplied, you can add the exponentials.

Consider the case of 2 * 2. We know this to be 4. When writing 2 * 2, you can write this as 2^1 * 2^1 == 2^(1+1) == 2^2 == 4. See how we added the powers to get the new exponential?

We will apply this same idea here.

10^(1/2) * 10^(1/2) == 10^(1/2 + 1/2) == 10^(1) == 10.

So, the simplified expression is 10.

Cheers.

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Help me please and thank you

Vadim26 [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

brent had $26 when he went to the fair. after playing 7 games, he had $15.50 left. solve 15.50=26 -7p to find the price for each

Vedmedyk [2.9K]

Step 1: Simplify both sides of the equation.

15.5=26−7p

15.5=−7p+26

Step 2: Flip the equation.

−7p+26=15.5

Step 3: Subtract 26 from both sides.

−7p+26=15.5
-26 -26

−7p=−10.5

Step 4: Divide both sides by -7.

-7p = -10.5
/-7 /-7

Answer:

P = $1.5 (Price for each game)

3 0

3 years ago

If the quadrilateral below is a rhombus, find the missing measures.

tankabanditka [31]

Answer:

corner angles are 80° (∠JKL) and 100° (∠MJK)
side lengths are 2√61

Step-by-step explanation:

The given length measures are the diagonals of the rhombus, so each side will be the hypotenuse of the triangle with legs half as long:

√(12² +10²) = √244 = 2√61 ≈ 15.62 . . . . side length

The given angle measure is half the measure at ∠J. The full measure of ∠J is 100°, so the measure of ∠K is 180° -100° = 80°

4 0

3 years ago

Generate six Pythagorean triples using any method discussed during class. Explain each method you use.

Yuri [45]

Answer:

1) (3,4,5)

2) (6,8,10)

3) (8,15,17)

4) (10,24,26)

5) (5,12,13)

6) (33,56,65)

Step-by-step explanation:

There are many ways of generating Pythagorean triples (a,b,c), one of the easiest ones is to take two natural numbers n and m, and we will have:

a = n² - m²,

b = 2nm,

c = n² + m²

Then (a, b, c) is a Pythagorean triple.

So, we're going to generate 6 Pythagorean triples using this method.

1. m= 1 and n = 2

⇒a = 2² - 1² = 3

b =2(1)(2) = 4

c= 1² + 2² = 5

and the triple is (3,4,5)

2. Now for m = 1 and n = 3

⇒a = 3²-1² = 8

b= 2(3)(1) =6

c = 1²+3² = 10

and the triple is (6,8,10)

3. Now for m = 1 and n = 4

⇒a = 4²-1²=15

b=2(1)(4)=8

c= 4²+1²=17

And the triple is (8,15,17)

4. Now for m = 1 and n =5

⇒a = 5²-1²=24

b=2(1)(5)=10

c= 5²+1²=26

and the triple is (10,24,26)

5. m = 2 n = 3

⇒a = 3²-2²= 5

b= 2(2)(3)=12

c= 3²+2²= 13

And the triple is (5,12,13)

6. m= 4 n = 7

⇒a= 7²-4²=33

b=2(7)(4)=56

c= 4²+7²= 65

And the triple is (33,56,65)

4 0

3 years ago

Give all of the possible numbers that could be hals mystery one-digit number

lorasvet [3.4K]

Mystery one-digit number
Well... all of the possible numbers must have only one digit
1, 2, 3, 4, 5, 6, 7, 8, 9, 0 are all possible numbers.

Hope this helps

6 0

3 years ago