Can someone help me to solve this please? TYSMSimplify.

Mathematics

1 answer:

vazorg [7]2 years ago

5 0

When multiplying exponents with same base you need to add the exponents so 1/3 plus 2/3 is 3/3 which is 1 so the answer is w to the power of 1 which is w

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Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe

AlekseyPX

The answer is
$\frac{-6i-3}{5}$ .

Before we rationalize the denominator, we must simplify the numerator and denominator. We evaluate the square root on the top, and combine like terms on the bottom:
$\frac{\sqrt{-9}}{(4-7i)-(6-6i)}
\\
\\=\frac{\sqrt{9i^2}}{4-6-7i--6i}
\\
\\=\frac{3i}{-2-i}$

To rationalize the denominator, we multiply by the conjugate. The conjugate is found by making the imaginary term of the complex number, the i part, the opposite sign. The conjugate of -2-i is -2+i:

$\frac{3i}{-2-i}\times \frac{-2+i}{-2+i}
\\
\\=\frac{3i(-2+i)}{(-2-i)(-2+i)}
\\
\\=\frac{3i\times -2 + 3i\times i}{-2\times -2 + -2\times i + -2\times -i + -i\times i}
\\
\\=\frac{-6i+3i^2}{4-2i+2i-i^2}
\\
\\=\frac{-6i+3(-1)}{4-i^2}=\frac{-6i-3}{4-(-1)}=\frac{-6i-3}{5}$

7 0

3 years ago

You plan to purchase a bike costing $795. write an equation that could be used to find the amount m, that you must save per mont

Galina-37 [17]

Let
m-------> <span>the amount that you must save per month

we know that
total cost of a bike=$795
5*m=795----------> equation </span><span>that could be used to find the amount m
divide by 5 both sides
m=795/5
m=$159

the answer is
</span>the equation that could be used to find the amount m is
<span>5m=795

</span>

6 0

2 years ago

Use a calculator to solve the following equation for θ on the interval [−90∘,90∘]. Sin(θ)=34

exis [7]

The value of θ from the given equation is 48.59degrees

<h3>Trigonometry identity</h3>

Given the trigonometry function

Sin(θ)=3/4

We are to find the value of theta that will make the expression true

Take the arcsin of both sides

arcsin Sin(θ)= arcsin(3/4)

θ = arcsin(3/4)

θ = 48.59

Hence the value of θ from the given equation is θ = 48.59 defense

Learn more on trig identity here:brainly.com/question/7331447

4 0

2 years ago

Create an expression to the phrase "7 more than the product of 6 and the number n"

8090 [49]

6n+7, 13,19,25,31,37

4 0

3 years ago

Which of the following is another way to show the ratio 13 to 27?

Alisiya [41]

Another ratio of 13:27 is to write it as a fraction. This is to mean;
$\frac{13}{27}$

7 0

3 years ago

Can someone help me to solve this please? TYSMSimplify.​

Can someone help me to solve this please? TYSMSimplify.