Pls answer fassst it will help me so much

A segment in the complex plane has a midpoint at 3 – 2i. If one endpoint of the segment is at 7 i, what is the other endpoint? –

Brut [27]

The midpoint of a segment divides the segment into equal halves

The other endpoint is 1- 5i

<h3>How to determine the missing endpoint </h3>

The coordinates are given as:

Point 1: 7 + i

Midpoint: 3 - 2i

Represent the other endpoint with x.

So, we have:

2 * Midpoint = Point 1 + x

This gives

$2 * (3 - 2i) =7 + i + x$

$6 - 4i =7 + i + x$

Collect like terms

$x = 6 -7- 4i -i$

Evaluate the like terms

$x = 1- 5i$

Hence, the other endpoint is 1- 5i

Read more about midpoints ta:

brainly.com/question/9635025

6 0

2 years ago

The perimeter of a rectangular parking lot is 278m.

earnstyle [38]

Answer:

62

Step-by-step explanation:

There are two lengths so 77 + 77 is 154. Now, subtract from the perimeter. 278 minus 154 is 124. This is both widths combined so to only get one, divide by 2. 124 divided by 2 is 62.

5 0

3 years ago

What is the volume of the composite figure?

saw5 [17]

volume of a sphere is 4/3 * PI * r^3

r = 6

r^3 = 6^3 = 216

4/3 * 216 = 288

Volume = 288 PI in^3

3 0

4 years ago

You get a raise of 3.5% each year.

Sindrei [870]

Using an exponential function, it is found that:

a) The doubling time of the salary is of approximately 20 years.

b) The salary will be of $160,000.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

The growth rate for this problem is:

r = 0.035.

The doubling time is t for which A(t) = 2A(0), hence:

$A(t) = A(0)(1 + r)^t$

$2A(0) = A(0)(1.035)^t$

$(1.035)^t = 2$

$\log{(1.035)^t} = \log{2}$

$t\log{1.035} = \log{2}$

$t = \frac{\log{2}}{\log{1.035}}$

t = 20 years.

You retire in 40 years, which is 2 doubling periods, hence the salary will be of:

40000 x 2 x 2 = $160,000.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

3 0

2 years ago

Jill and Erika made 4 gallons of lemonade for their lemonade stand. How many quarts did they make if then charge $2:00 per quart

notka56 [123]

Answer:

Number of quarts=16

Money earned=$32

Step-by-step explanation:

Given

4 Gallons of lemonade is prepared
They charge $2 for a quart

1 Gallon= 4 Quarts

Therefore Number of quarts

$= \text{number of gallons} \times 4\\= 4 \times 4\\=16$

Therefore Number of quarts of lemonade prepared by them = 16 quarts

As they charge $2 for each quart

⇒

Total money made if they sell it all

$=\text{number of quarts} \times 2\\= 16 \times 2\\=32$

Therefore, if they are to sell all the lemonade that they prepared

They would earn=$32

5 0

3 years ago