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3 years ago

Question 13 of 47

Mathematics

1 answer:

ser-zykov [4K]3 years ago

5 0

Answer:

d. 6-19i

Step-by-step explanation:

(5-8i)+(1-11i)

Step 1: Combine like terms within the parenthesis. There are no like terms within the parenthesis. So, drop the parenthesis and move on to the next step.

(Remember!! If you would have had a negative sign in front of either parenthesis, you would need to distribute out the negative sign).

5 - 8i + 1 - 11i

Step 2: Now add like terms.

5 + 1 - 8i - 11i

6 - 19i

You can't combine any more like terms, so this is your final answer.

6 - 19i

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What is the LCD of x-3, x+3, and <img src="https://tex.z-dn.net/?f=x%5E2-9" id="TexFormula1" title="x^2-9" alt="x^2-9" align="ab

Agata [3.3K]

The least common denominator is one, since all of these numbers are actually whole numbers. They're actually all $\frac{x-3}{1} \frac{x+3}{1} \frac{x^2-9}{1}$
If you mean the greatest common factor, then it's obviously $x$

3 0

3 years ago

ABC and EDC are straight lines. EA is parallel to DB. EC = 8.1 cm. DC = 5.4 cm. DB = 2.6 cm. (a) Work out the length of AE. cm (

harkovskaia [24]

By applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

See the image in the attachment for the referred diagram.

The two triangles, triangle AEC and triangle BDC are similar triangles.
Therefore, the ratio of the corresponding sides of triangles AEC and BDC will be the same.

This implies that:

AC/BC = EC/DC = AE/DB

Given:

$EC = 8.1 $ cm\\\\DC = 5.4 $ cm\\\\DB = 2.6 cm\\\\AC = 6.15 $ cm$

a. Find the length of AE:

EC/DC = AE/DB

Plug in the values

$\frac{8.1}{5.4} = \frac{AE}{2.6}$

Cross multiply

$5.4 \times AE = 8.1 \times 2.6\\\\5.4 \times AE = 21.06$

Divide both sides by 5.4

$AE = \frac{21.06}{5.4} = 3.9 $ cm$

b. Find the length of AB:

$AB = AC - BC$

AC = 6.15 cm

To find BC, use AC/BC = EC/DC.

Plug in the values

$\frac{6.15}{BC} = \frac{8.1}{5.4}$

Cross multiply

$BC \times 8.1 = 6.15 \times 5.4\\\\BC = \frac{6.15 \times 5.4}{8.1} \\\\BC = 4.1$

Thus:

$AB = AC - BC$

Substitute

$AB = 6.15 - 4.1\\\\AB = 2.05 $ cm$

Therefore, by applying the knowledge of similar triangles, the lengths of AE and AB are:

a. $\mathbf{AE = 3.9 $ cm}\\\\$

b. $\mathbf{AB = 2.05 $ cm} \\\\$

Learn more here:

brainly.com/question/14327552

3 0

3 years ago

Shawn has $5 more than Rj and Riley has $10 less than Shawn. If there combined total is $414, how much does

ExtremeBDS [4]

Answer:

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

Step-by-step explanation:

Let's make the amount of money Rj has $x$ , so Shawn would have $5+x$ dollars, and Riley would have $(5+x)-10$ dollars. Altogether they have $414$ dollars, so you can create an equation.

$x+(5+x)+((5+x)-10)=414\\3x+0=414\\3x=414\\x=138$

Now that we know that $x=138$ , we can substitute x into each equation.

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

5 0

2 years ago

Read 2 more answers

Please I need help. I need this ASAP, the screenshot is right below here.

Delicious77 [7]

Answer:

no idea

Step-by-step explanation:

no idea jsbdkanxlanvsksnsp

6 0

3 years ago

Please help me? Show your work please! I give brainiest! (Or whatever it’s called :) )

azamat

You need to find the hypotenuse of the right triangle.

4² + 9² = c²
16 + 81 = c²
97 = c²
9.85 = c

There are 5,280 ft in a mile.
Multiply 9.85 by 5,280.

9.85 × 5,280 = 52,008
Multiply 52,008 by 110.

52,008 × 110 = 5,720,880

The estimated cost for constructing the street would be $5,720,880.

8 0

3 years ago