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3 years ago

Write the Pythagorean theorem equation in an equivalent form with the a² isolated.

Mathematics

2 answers:

SashulF [63]3 years ago

8 0

Answer:

A^2=-B^2+H^2

Step-by-step explanation:

A^2+B^2=H^2

Isolate A^2. Subtract B^2 from both sides.

A^2=-B^2+H^2

Hope this helps :)

maria [59]3 years ago

6 0

Answer:

$a^{2}= -b^{2}+c^{2}$

Step-by-step explanation:

Rewrite the Pythagorean Theorem equation in terms of $a^{2}$ .

$a^{2}+b^{2}=c^{2}$

Subtract b squared from both sides.

$a^{2}= -b^{2}+c^{2}$

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Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Lelechka [254]

Answer:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}} = 32$

Step-by-step explanation:

1) $\frac{(-2)^{-5}}{(-2)^{-10}}$

Solving using exponent rule: $a^{-m}=\frac{1}{a^m}$

$\frac{(-2)^{-5}}{(-2)^{-10}}\\=(-2)^{-5+10}\\=(-2)^{5}\\=-32$

So, $\frac{(-2)^{-5}}{(-2)^{-10}}=-32$

2) $2^{-1}.2^{-4}$

Using the exponent rule: $a^m.a^n=a^{m+n}$

We have:

$2^{-1}.2^{-4}\\=2^{-1-4}\\=2^{-5}$

We also know that: $a^{-m}=\frac{1}{a^m}$

Using this rule:

$2^{-5}\\=\frac{1}{2^5}\\=\frac{1}{32}$

So, $2^{-1}.2^{-4} = \frac{1}{32}$

3) $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2$

Solving:

$(-\frac{1}{2} )^3.(-\frac{1}{2} )^2\\=(-\frac{1}{8} ).(\frac{1}{4} )\\=-\frac{1}{32}$

So, $(-\frac{1}{2} )^3.(-\frac{1}{2} )^2=-\frac{1}{32}$

4) $\frac{2}{2^{-4}}$

We know that: $a^{-m}=\frac{1}{a^m}$

$\frac{2}{2^{-4}}\\=2\times 2^4\\=2(16)\\=32$

So, $\frac{2}{2^{-4}} = 32$

3 0

3 years ago

Need help how do I do this, start it, and the steps please

Harman [31]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

Let's first write down the equation we are going to solve.

( 1 / 3 )h - 4 [ ( 2 / 3 )h - 3 ] = ( 2 / 3 )h - 6

To begin with, we will expand the brackets => [ ]

( 1 / 3 )h - ( 8 / 3 )h + 12 = ( 2 / 3 )h - 6

Next we will collect like terms by placing all the individual numbers on the right-side of the equation and the terms with ( h ) on the left-hand side of the equation so that we can begin making ( h ) the subject.

( 1 / 3 )h - ( 8 / 3 )h - ( 2 / 3 )h = - 6 - 12

Then we will simplify both the left-hand side and right-hand side of the equation to solve it for ( h ).

( - 9 / 3 )h = - 18

- 3h = - 18

h = - 18 / - 3

h = 18 / 3

h = 6

FINAL ANSWER:

Therefore, the answer is:

h = 6

Hope this helps! :)
Have a lovely day! <3

4 0

3 years ago

Emma biked 15 miles. One mile is approximately equal to 0.6 kilometers. What is the number of kilometers Emma biked?

Mademuasel [1]

Answer:

About 9 kilometers

Step-by-step explanation:

15x.6= 9

7 0

3 years ago

Read 2 more answers

What is the factored form of the expression over the complex<br> numbers?<br> 16x2 + 9y2

Hunter-Best [27]

Answer:

(4x -3yi) (4x+3yi)

Step-by-step explanation:

We have a^2 + b^2

Over the complex number, this is equal to

(a-bi) (a+bi)

(4x -3yi) (4x+3yi)

4 0

3 years ago

Mei Mei finds some dimes and quarters in her change purse. How much money (in dollars) does she have if she has 7 dimes and 12 q

zavuch27 [327]

Answer:

$3.70

Step-by-step explanation:

4 quaters= 1$

4=1

8=2

12=3

7 dimes =70

so there for

$3.70

5 0

2 years ago

Read 2 more answers