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3 years ago

11

Identify the property used in the first five steps to solve the equations (2x-5)-6x=-22

1 answer:

Bad White [126]3 years ago

4 0

Combine like terms
Add to both sides
Divide both sides
I only see three steps, man

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Simplify the radical expression.

tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of $\sqrt{a} + b$ would be $\sqrt{a} - b$ .

Applying that information to our fraction shown here, the conjugate of the denominator would be $\sqrt{3} - 4$ . We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.

$\Big(\dfrac{1}{\sqrt{3} + 4}\Big)\Big(\dfrac{\sqrt{3} - 4}{\sqrt{3} - 4}\Big)$

$\dfrac{\sqrt{3} - 4}{3 - 16}$

$\dfrac{4 - \sqrt{3}}{13}$

Our answer is $\boxed{\dfrac{4 - \sqrt{3}}{13}}$ .

5 0

3 years ago

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i what is the students mistakes

Rufina [12.5K]

Answer:

1. In the multiplication of the imaginary parts, the student forgot to square of i. OR

2. The student has only multiplied the real parts and the imaginary parts.

Correct value $=22+7i$ .

Step-by-step explanation:

The given expression is

$(4+5i)(3-2i)$

A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.

Student's mistake can be either 1 or second:

1. In the multiplication of the imaginary parts, the student forgot to square of i.

2. The student has only multiplied the real parts and the imaginary parts.

$(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i$

Which is not correct. The correct steps are shown below.

Using distributive property, we get

$4(3-2i)+5i(3-2i)$

$4(3)+4(-2i)+5i(3)+5i(-2i)$

$12-8i+15i-10i^2$

$12+7i-10(-1)$ $[\because i^2=-1]$

$12+7i+10$

$22+7i$

Therefore, the correct value of $(4+5i)(3-2i)$ is $22+7i$ .

4 0

3 years ago

Hannah paddled the canoe for 3 hours at 2.2 miles per hour. How far did she paddle?

Grace [21]

6.6. 2.2*3= 6.6
i hope this makes since

7 0

3 years ago

Read 2 more answers

In the rhombus,8y-6 . Find the value of y.

gregori [183]

I think that the answer to the question is 0.75

7 0

3 years ago

What is the next number? 2+3=8 3+7=27 4+5=32 5+8=60 6+7=72 7+8=?

ale4655 [162]

Answer:

<h2>7 + 8 = 98</h2>

Step-by-step explanation:

2 + <em>3</em> = <u>8</u>

<u>8</u> : 2 = 4; 4 - 1 = <em>3 (subtract 1)</em>

3 + <em>7</em> = <u>27</u>

<u>27</u> : 3 = 9, 9 - 2 = <em>7 (subtract 2)</em>

4 + <em>5</em> = <u>32</u>

<u>32</u> : 4 = 8; 8 - 3 = <em>5 (subtract 3)</em>

5 + <em>8</em> =<u>60</u>

<u>60</u> : 5 = 12, 12 - 4 = <em>8 (subtract 4)</em>

6 + <em>7</em> = <u>72</u>

<u>72</u> : 6 = 12, 12 - 5 = <em>7 (subtract 5)</em>

7 + <em>8</em><em> </em>= <u>x</u>

<u>x</u> : 7 = y, y - 6 = <em>8 (subtract 6)</em>

Solve:

y - 6 = 8 <em>add 6 to both sides</em>

y - 6 + 6 = 8 + 6

y = 14

<u>x</u> : 7 = y ⇒ <u>x</u> : 7 = 14 ⇒ <u>x</u> = (14)(7) ⇒ <u>x</u> = 98

8 0

3 years ago