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4 years ago

What are the differences and definitions of incenter, orthocenter, centroid, and circumcenter when dealing with triangles?

Mathematics

1 answer:

mart [117]4 years ago

8 0

Answer:

The orthocenter is the point of intersection of the three heights of a triangle.

The centroid is the point of intersection of the three medians.

The circumcenter is the point of intersection of the three perpendicular bisectors.

The incenter is the point of intersection of the three angle bisectors.

Step-by-step explanation:

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Divide and simplify to the form a+bi. 5+6i 5+6i 6+ i (Simplify your answer. Type an integer or a fraction. Type your answer in t

alekssr [168]

Answer:

$-\frac{6}{37} + \frac{371}{37}i$

Step-by-step explanation:

We need to evaluate $\frac{(5+6i)(5+6i)}{6+i}$

(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i

= $\frac{-11+60i}{6+i}$

Now we rationalize the denominator.

Now, multiplying both the numerator and denominator by (6-i)

$\frac{-66 + 11i + 360i - 60i^2}{36 - i^2} = \frac{-66 + 60 + 371i}{37} = \frac{-6 + 371i}{37}$

= $-\frac{6}{37} + \frac{371}{37}i$

Formula used:

(a+b)² = a² + b² + 2ab

i² = -1

6 0

4 years ago

Please help quicklyy! :(

amid [387]

Answer:

the 1st one

Step-by-step explanation:

4 0

2 years ago

In an experiment, the probability that event A occurs is

AnnZ [28]

Answer:

1/63

Step-by-step explanation:

Here is the complete question

In an experiment, the probability that event A occurs is 1 /7 and the probability that event B occurs is 1 /9 .

If A and B are independent events, what is the probability that A and B both occur?

Simplify any fractions.

Solution

the probability of independent events A and B occurring is P(A u B) = P(A)×P(B) where P(A) = probability that event A occurs = 1 /7 and P(B) = probability that event B occurs = 1 /9 .

So, P(A u B) = P(A)×P(B) = 1/7 × 1/9 = 1/63

7 0

4 years ago

Read 2 more answers

When Mr. Woodard preheated his oven, the oven's temperature rose 3 degrees in 1/6 of a minute. At that rate, how much will the o

Murljashka [212]

Given:

Oven's temperature rose 3 degrees in $\dfrac{1}{6}$ of a minute.

To find:

How much will the oven heat up in 1 minute at that rate?

Solution:

According to the question,

Oven's temperature rose in $\dfrac{1}{6}$ of a minute $=3 \text{ degrees}$

Oven's temperature rose in 1 minute $=6\times 3 \text{ degrees}$

$=18 \text{ degrees}$

Therefore, the oven's will heat up 18 degrees in 1 minute.

4 0

3 years ago

Read 2 more answers

What is the value of 4x - 7 when x=4? 1 9 16 23

marshall27 [118]

Answer:

Step-by-step explanation:

$4x - 7;x = 4$

"P" in PEMDAS is parentheses which is done first.

$4(4) - 7 \\ 16 - 7$

"S" is substraction done next.

$16 - 7 = 9$

7 0

4 years ago

Read 2 more answers