The center of the circle that circumscribe about DABC is
.
A circle can be modelled after a expression of the form:
(1)
We can determine all coefficients by knowing three <em>distinct</em> points on plane.
If we know that
,
and
, then the solution of the system of linear equations is:
(2)
(3)
(4)

Now we proceed to <em>complete</em> squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:



The center of the circle that circumscribe about DABC is
.
To learn more on circles, we kindly invite to check this verified question: brainly.com/question/11833983
Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation

Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
Answer:
One bottle of soap will hold 3/8
Step-by-step explanation:
3/4= The amount of soap she has in total
3/4= 6/8 which is the same amount but now we can divide it by 2
.75 (6/8) divided by 2= .375 (3/8)
So each soap dispenser will have 3.75 liters of soap.
Sentences: To check our work
.375x2= .75
3/4 divided by 2= 3.75
Answer:
a or 116
Step-by-step explanation:
First you solve the blue part which is 14*14=196. Then solve the green part 10*8=80. Subtract blue minus green. Which gives you 116.
Answer:
24!
Step-by-step explanation:
I will refer the people to A,B,C, and D
24 is the answer.
4 choices for the first position.
3 choices for the second.
2 choices for the third.
1 for the fourth.
4*3*2*1=24
Here it is listed out where a,b,c,d are the 4 people:
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bcda
bdac
bdca
cabd
cadb
cbad
cbda
cdab
cdba
dabc
dacb
dbac
dbca
dcab
dcba
(of course, this assumes that there is a direction to the line, or a 'front' and a 'back'. If direction doesn't matter then the answer is 12, since every combination above has a reverse. e.g., abcd and dcba. The list becomes:
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bdac
cabd
cbad