Answer:
x²+y² = 64
Step-by-step explanation:
The standard form of writing the equation of a circle is expressed as;
(x-a)²+(y-b)² = r² where;
(a, b) is the centre of the circle
r is the radius of the circle
Given the diameter of the circle with endpoints (8,0) and (-8, 0)
d = √(x2-x1)²+(y2-y1)²
d = √(-8-8)²+(0-0)²
d = √(-16)²
d = √256
d = 16
radius r = 16/2
r = 8
The centre of the circle will be the midpoint of the coordinates
M = (8-8/2, 0+0/2)
M = (0/2, 0/2)
M = (0,0)
Hence the centre is at (0,0)
Get the required equation
Recall that (x-a)²+(y-b)² = r²
Substitute the centre and the radius
(x-0)²+(y-0)² = 8²
x²+y² = 64
This gives the required equation
Yeah I’m also not familiar with any
Answer:
x=7.31
Step-by-step explanation:
There are two x's, so they represent the equation 2x=14.62. If we solve for x, we have to divide each side by 2:
2x/2=14.62/2.
If we divide, we get x=7.31
Answer:
Area = 12
Step-by-step explanation:
The perpendicular bisector of the triangle going from upper left to the middle marks the height of the triangle. It's area is found from the standard formula.
Area = b * h / 2
b = 2 + 2 = 4
h = 8
Area = 1/2 * 4 * 8
Area = 1/2 * 32
Area = 16
The smaller triangle is found from all the twos.
b = 2 + 2 same as the larger triangle
h = 2
Area = 1/2 2 * 4
Area = 1/2 8
Area = 4
Total Area = 4 + 16
Total Area = 20
Answer:
x=2/9,y=26/9
Step-by-step explanation:
This is a simultaneous equation
16x+5y=-2..(1)
4x-y=-2...(2)
From (2) make y the subject of formula
y=4x+2..(3)
Substitute (3) into (1)
16x+5(4x+2)=-2
16x+20x+10=-2
36x-10=-2
Add 10 to both sides
36x=8
Divide both sides by 36
x=8/36
Divide both denominator and numerator by 4
x=2/9
Substitute the value x into (3)
y=4(2/9)+2
y=8/9+2
Let the LCM be 9
y=8+18/9
y=26/9
Therefore x=2/9,y=26/9
