Answer:
radius ≈ 10.77 cm
Step-by-step explanation:
The segment from the centre O to the chord is a perpendicular bisector.
Thus 2 right triangles are formed with legs 10 cm and 4 cm ( half of XY )
The radius r is the hypotenuse.
Using Pythagoras' identity, then
r² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
r = 
≈ 10.77 cm ( to 2 dec. places )
Step-by-step explanation: graph both equations where they intersect is the answer write it like this (x,y) the x and the y should be replaced with the numbers you'll get when they intersect. So if they intersected the point where they did if the y is 1 and x is 2 then the answer is (2,1). If they don't intersect at all and are parallel then it is no solution. If your only graphing one line which you aren't in this case but if you were it would be infinitely many.
Answer:
perimeter = 6x + 15
Step-by-step explanation:
The perimeter of the triangle is the distance around the triangle.
We need to apply our ability to convert word problems in to mathematical expressions.
We were told that the bottom of the triangle is x units.
From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15
Four times the length of the bottom will be 4x .
12 more than 4 times the bottom will be 4x + 12.
Hence another side of the triangle is 4x + 12.
Finally we were told that the last side is 3 more than the bottom, that will be x + 3.
Answer:
(1, 5 )
Step-by-step explanation:
Given
x² - 2x + y - 4 = 0 ( add 4 to both sides )
x² - 2x + y = 4
Complete the square on x² - 2x
add ( half the coefficient of the x term )² to both sides
x² + 2(- 1)x + 1 + y = 4 + 1, that is
(x - 1)² + y = 5
Subtract (x - 1)² from both sides
y = - (x - 1)² + 5
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - (x - 1)² + 5 ← is in vertex form
with vertex = (1, 5 )
Okay so, we switch out f(x) with y - I’m sure you know this and we get y=2+3x/x-2.
Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.
Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.
Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .
