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Margarita [4]
3 years ago
6

True or False? The circumcenter of a triangle is the center of the only circle that can be inscribed about it.

Mathematics
1 answer:
zlopas [31]3 years ago
8 0
It is False, for apex.
You might be interested in
Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
Read 2 more answers
Can you help me pleeeeaaassee??
melamori03 [73]

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD

Let's solve the given question:

Given that ΔTSR ≈ ΔTCD

So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.

So, ΔTSR ≈ ΔTCD

=> RT / TD = ST / TC

=> 14 / 7 = 16 / (x - 1)

In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.

The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

The third error is the value of x.

We can find the correct value of x from the given equation:

14 / 7 = 16 / (x - 1)

=> 2 = 16 / (x - 1)

Multiplying both sides by (x - 1):

(x - 1) × 2 = 16 / (x - 1) × (x - 1)

=> 2(x - 1) = 16

Multiplying both sides by 1 / 2:

2(x - 1) × 1 / 2= 16 × 1 / 2

=> x - 1 = 8

Adding 1 on both sides:

x - 1 + 1 = 8 + 1

x = 9

Therefore x = 9.

Hence the errors are:

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC

Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Know more about "similar triangles" here: brainly.com/question/14366937

#SPJ9

8 0
2 years ago
"During their first swim through a water maze, 15 laboratory rats made the following number of errors (went the wrong way): 2, 1
velikii [3]

Answer:

mean = 7.8, median =5, and mode(s) =5

the shape of the distribution is positive skewed

Step-by-step explanation:

Find the mean, median and mode(s) for

2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3

the mean = sum of (2, 17, 5, 3, 28, 7, 5, 8, 5, 6, 2, 12, 10, 4, 3)/15 =

              =  7.8          

the median = 2, 2, 3, 3, 4, 5, 5, 5,  6, 7,  8, 10, 12, 17, 28, = the middle value, the 8th value falls in the middle = 5

the mode is the most occurring value = 5

2. Without constructing a frequency distribution or graph, would you characterize the shape of this distribution as balanced, positively skewed, or negatively skewed?

positive skewed or Right skewed because the value of the mean is greater than the median

A right skewed histogram is a positive skewed histogram (which means the tail is longer the positive direction) that have its tail to the right.For a right skewed histogram the mean has a larger value that the median because the peak of the skewness fall in the median range then the mean follow to the right. and the data drive the mean value to the right which increase in value.

Read more on Brainly.com - brainly.com/question/14703862#readmore

5 0
3 years ago
2(p+7)=18<br><br>Please add a equation ​
Aleonysh [2.5K]

Answer: P = 2

Step-by-step explanation:

18 = 2(p+7)

18 = 2(2P+14)

-14         -14

4 = 2P

2=P

7 0
3 years ago
Write the expression In factored form. 121m^2-144<br> Can someone help me?
Zigmanuir [339]
It’s (11m+12)(11m−12)
6 0
3 years ago
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