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2 years ago

How do I solve this equation?

Mathematics

1 answer:

valentina_108 [34]2 years ago

6 0

The area of the outer shape = 4π
the area of the two hemispheres inside are = 4π

In conclusion, the two parts of the shaded area must be equal.
For the calculation of the lower shaded area, see the attached pictures:

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Consider the radical equation (3√6-x)+4=-8. Explain why the calculation in Problem 1 does not produce a solution to the equation

murzikaleks [220]

Answer:

See explanation below

Step-by-step explanation:

First we will solve the radical equation (which I guess was problem 1),

Let's start by simplifying it:

$3\sqrt{6-x}+4=-8\\ 3\sqrt{6-x}=-8-4\\ 3\sqrt{6-x}=-12\\\sqrt{6-x}=-4$

Now we will solve the equation by squaring both sides of the equation:

$\sqrt{6-x} =-4\\6-x=-4^{2} \\6-x=16\\-x=16-6\\-x=10\\x=-10$

So the calculation for x was that x = -10

However, this does not produce a solution to the equation: When we plug this value into the radical equation we get:

$3\sqrt{6-x} +4= -8\\3\sqrt{6-(-10)} +4=-8\\3\sqrt{16}+4 = -8\\ 3(4)+4 = -8\\12 + 4 = -8$

This happens because when we first squared both sides of the equation in the first part of the problem we missed one value for x (remember that all roots have 2 answers, a positive one and a negative one) while squares are always positive.

When we squared the root, we missed one value for x and that is why the calculation does not produce a solution to the equation.

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2 years ago

two golfers completed one round of golf. the first golfer had a score of +6 and the second golfer had a score of -3. how many mo

pav-90 [236]

9. One is 6 over par, the other is three under, so subtract first-second = 6-(-3) = 9

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3 years ago

Solve the system of equations: 10x + 7y = 99 and y – x = 2.

svetlana [45]

7y + 10x = 99
y - x = 2
y = 7 , x = 5

7 0

3 years ago

HELP please i'll give brainliest I only have until 3 to finish this

Ivahew [28]

Answer:

Step-by-step explanation:

The ratios are 2:1

In the table it shows 4:2, 8:x, y:6, 20:z

To find if the ratios are equivalent we would need to plug in

Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1

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2 years ago

Read 2 more answers

Luis says figure Y is a rotation of figure X, Explain Luis's error. PLEASE HELPP

Naddika [18.5K]

Answer:

You can see that Y is obviously bigger than X

Step-by-step explanation:

5 0

3 years ago