All categories

3 years ago

Find the midpoint of the segment with endpoints of 6+3i and -12-5i

1 answer:

6 0

Remark
All you need do is add the two points together and divide by 2.

$\frac{6+ 3i - 12 - 5i }{2}$

Group the like terms.

$\frac{6-12 + 3i-5i}{2}$
$\frac{-6-2i }{2}$
$\frac{-6\div 2-2i\div2}{1}$

Answer: Midpoint = -3 - i

You might be interested in

No explanation required, just a quick answer please!

hram777 [196]

The answer to the question

4 0

3 years ago

shelia has 5 times more markers then dave and together they have 18 markers how many markers does sheli have?

ryzh [129]

She has 90 markers because 18 times 5 is 90

6 0

2 years ago

In Brazil, about 20 acres of rainforest are destroyed each minute. At this rate, how much rainforest is destroyed per day?

eduard

Each day <span>28800</span> acres are being destroyed per day

4 0

2 years ago

Read 2 more answers

The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th

irakobra [83]

ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

$= \frac{new \: price - old \: price}{old \: price} \times 100\%$

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

$= \frac{2.15 - 2.40}{2.40} \times 100\%$

$= \frac{ - 0.25}{2.40} \times 100\%$

$= - 0. 10416667 \times 100\%$

$= - 10.416667\%$

To the nearest tenth, we have:

$- 10.4\%$

Therefore the percentage decrease is 10.4%.

8 0

2 years ago

Please help me!!!!! How do you get 67.3 and 112.7 from .9228

antoniya [11.8K]

Answer and Step-by-step explanation:

You are correct in that we need to use the Law of Sines: $\frac{c}{sinC} =\frac{b}{sinB}=\frac{a}{sinA}$ .

Here, when we use the Law of Sines, we have: $\frac{28}{sin(63)}=\frac{29}{sinB}$ .

Cross multiply:

(sinB) * 28 = (sin63) * 29

28sinB ≈ 25.839

sinB ≈ 0.9228

Now, in order to solve for B, we need to use inverse sin ( $sin^{-1}$ ):

$sin^{-1}(sinB)=sin^{-1}(0.9228)$

The sines on the left cancel out, and we're left with:

B ≈ 67.3 degrees

Now, one thing to keep in mind when doing Law of Sines is that there is potentially more than one answer possible for the degree measure. The other degree measure can be found by subtracting this one from 180:

180 - 67.3 = 112.7 degrees.

Hope this helps!

7 0

3 years ago

Read 2 more answers