All categories

2 years ago

15) PLEASE HELP!!!! 10 POINTS + BRAINLIEST!!!

Mathematics

1 answer:

o-na [289]2 years ago

6 0

Multiply, and Divide

2/ 2 - 15i

2(2 + 15i)/ (2 - 15i) * 2 + 15i

= ( 4 + 30i)/ (4 + 225)

= (4 + 30i )/ 229

Hence; 2/ 2 - 15i
= 4/ 229 + 30i/ 229

Therefore, Letter Choice (D); is your answer 4/229 + 30i/229

Hope that helps!!!!

You might be interested in

67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue

Yuki888 [10]

Answer:

The answer is 0,66

Step-by-step explanation:

Assuming he gets the exact same shade of green everyday, the ratio of blue to yellow for Marc's green color is 0,66 because 4 / 6 and 6 / 9 give the same results when calculated in decimal.

I hope this answer helps.

4 0

2 years ago

The ratio of pencil to rulers is 6:10. the are 21 pencils. how many rulers are there

Reika [66]

There would be 35 rulers.

In order to solve this, use cross multiplication.

6/10 = 21/x -----> cross multiply

10*21 = 6*x

210 = 6x

35 = x

8 0