Please Help........................................................

Which equation is equivalent to √x^2+81 = x+10

jeka57 [31]

Keywords:

equation, operations, equivalent, binomial, square root

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

$\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2$

By definition: $(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2$

$x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100$

Thus, $x ^ 2 + 81 = x ^ 2 + 20x +100$ is equivalent to $\sqrt {x ^ 2 + 81} = x + 10$

Answer:

$x ^ 2 + 81 = x ^ 2 + 20x +100$

Option D

4 0

2 years ago

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An angle that measures between 90 and 180 is called?

Law Incorporation [45]

It's called an obtuse angle.

5 0

2 years ago

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What constant term is necessary to complete the perfect square trinomial pictured in the algebra tiles?

gayaneshka [121]

The algebra tiles show two equal factors. They are (x + 4).

Then, the perfect square is the product of the two equal factors, (x + 4) * (x +4).

That is (x + 4)^2.

Then develop that perfect square to find the constant term.

(x + 4)^2 = x^2 + 8x + 16.

That means that the constant term needed to complete the trinomial is 16.

Answer: 16

3 0

2 years ago

Read 2 more answers

plz i need help with this its due tmrw!! (also my other most recent question is #6 of this and it would be nice for answers for

kipiarov [429]

7. You have $367.50 after two years.

Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.

350(0.025) = 8.75

Since it's for two years, multiply by two.

8.75 x 2 = 17.5.

Add it on to he original, and we have

350 + 17.5 = 367. 5, or $367.50 when converted back to money.

8. The annual interest rate is 2.4%

find the interest rate per year:

120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to.

Set up a system of equations and cross multiply.

$\frac{48}{2000} = \frac{x}{100}$

2000x = 48(100) > 2000x = 4800

2000/2000x = 4800/2000 > x = 2.4

So, the interest rate is 2.4%.

9. the interest paid is $300 after six months, and $600 after a year.

Find the interest rate, similar to problem 7.

3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.

10. four years.

Find interest rate.

200(0.035) = $7/year

Remember that value. Subtract needed from current.

228 - 200 = $28.

So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years.

5 0

2 years ago

Choose the equation that satisfies the data in the table.

Zanzabum

Answer:

B. y = $\frac{2}{15} X + 2$