Answer:
Step-by-step explanation:
The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.
The ormua for calculating mid point is expressed as;
M(X,Y) ={(x21+x2/2, y1+y2/2}
X= x1+x2/2
Y = y1+y2/2
From the coordinates
x1 = 18 x2 = 4
X= 18+4/2
X = 22/2
X = 11
y1= -13, y2= -3
Y = -3-13/2
Y = -16/2
Y = -8
Hence the required centre will be at (11,-8)
Hi there!
Find the value of 8 by substituting in -18 for g(x):
-18 = 2x - 8
Add 8 to both sides:
-10 = 2x
Divide both sides by 2:
-10/2 = 2x/2
x = -5
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.
1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3
2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25
JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25
3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.
-----
Answer: HJ = 25, JK = 25, HK = 50
Answer:
D
Step-by-step explanation:
Given the 2 equations
4x - 5y = 18 → (1)
3x - 2y = 10 → (2)
Multiplying (1) by 3 and (2) by - 4, then adding will eliminate the x- term
12x - 15y = 54 → (3)
- 12x + 8y = - 40 → (4)
Add (3) and (4) term by term to eliminate x, that is
- 7y = 14 ( divide both sides by - 7 )
y = - 2
Substitute y = - 2 into either of the 2 equations and solve for x
Substituting into (1)
4x - 5(- 2) = 18
4x + 10 = 18 ( subtract 10 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
solution is (2, - 2 ) → D
Answer:
The answer is -32
Step-by-step explanation:
g(-5) = (-5)-1= -6
f(-6) = 2(-6)-20
f(-6) = -12-20
-32
