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mario62 [17]
3 years ago
9

Find the center and radius of the circle having the equation: x2 - 10x + y2 - 2y + 15 = 0

Mathematics
1 answer:
Goshia [24]3 years ago
4 0

Answer:

Step-by-step explanation:

hello :

(x² - 10x) + (y² - 2y) + 15 = 0

(x² - 10x+25-25) + (y² - 2y+1-1) + 15 = 0

(x² - 10x+25)-25 + (y² - 2y+1)-1 + 15 = 0

(x-5)²+(y-1)² = 11

the center is (5;1) and radius √11

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PLEASE HELP ASAP!!
Kisachek [45]

Answer:

my answer is C  $69.87

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
5 0
3 years ago
I'll give Brainliest!!
scoundrel [369]

Answer:

C

Step-by-step explanation:

The similarity statement is correct. Because they are similar, AB is equal to EF, so to find x, you do x-2=2.2. Solve that and you get x=0.2

5 0
3 years ago
What is 35-14+27 i really need help pls anser fast
zhuklara [117]

Answer:

<em>B is the correct answer</em>, The first choice (which you chose) is the incorrect answer.

Step-by-step explanation:

6 0
3 years ago
Help QUICK!!!<br> what is the slope of the line?
Zinaida [17]

Answer:

-1

Step-by-step explanation:

We need two points to use the slope formula

(0,2) and (2,0) are points on the line

m= ( y2-y1)/(x2-x1)

   = (0-2)/(2-0)

   = -2/2

   =-1

8 0
2 years ago
Read 2 more answers
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