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2 years ago

How to solve this equation for the variable b a^2+b^2=c^2 ?

Mathematics

1 answer:

Nata [24]2 years ago

5 0

Firstly, subtract a^2 on both sides: $b^2=c^2-a^2$

Next, we are going to be using the difference of squares, which is $x^2-y^2=(x+y)(x-y)$ . Use this on the right side of the equation: $b^2=(c+a)(c-a)$

Lastly, square root both sides of the equation, and your answer will be $b=\sqrt{(c+a)(c-a)}$ 

You might be interested in

34699 to nearest ten thousand

xz_007 [3.2K]

Ones place: 9

Tens place: 9

Hundreds place: 6

Thousands place: 4

Ten thousands place: 3

Which is 34,699

Now that we know 3 is in the ten thousand's place.

So then go from 3, and jump too 4. If the number is higher then 5, the 3 would become a 4. If the number is lower then 5, 4 would become a 0 and so will the rest of the number's too the right.

34,699 ---> 30,000

That being said, the answer is 30,000!

I hope this help's! :)

-LizzyIsTheQueen

8 0

3 years ago

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

STatiana [176]

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3

7 0

3 years ago

What is 1 + 1 if the answer is 2 then why is it 2

maks197457 [2]

Answer:

because 1+1 adds up to 2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Can someone help me solve this, show work if you can.

solmaris [256]

um what

sory not understand from finland good luck

7 0

3 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago