Ok
First factor out the first 2 terms as follows:-
y = 1/2(x^2 - 8x) + 21
Now complete the square on x^2 - 8x:-
y = 1/2[ (x - 4)^2 - 16] + 21
y = 1/2(x - 4)^2 - 8 + 21
y = 1/2(x - 4)^2 + 13 Answer
Answer:
Half of cord 24/2 = 12
Step-by-step explanation:
In the circle with r = 13 we have 13^2 = 12^2 + a^2 where a = the distance from the centre of this circle to the cord. Thus a = 5. Then the distance from the cord to the other circle centre is 21 - 5 = 16. In the second circle you can write r2^2 = 16^2 + 12^2. The r2 = sqrt (400) = 20
Answer:
Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
The general form of an equation of a circle:
We have the center (-2, 1). Substitute to the equation in the standard form:
Put thr coordinates of the point (-4, 1) to the equation and calculate a radius:
Therefore we have the equation:
Convert to the general form.
Use
Answer:
8 and -2
Step-by-step explanation:
8 (-2) = -16
8 + (-2) = 6
Answer:
Denote:
The length of rectangular: x
The width of rectangular: y
Then,
2(x + y) = 20
x - y = 4
=> 2(y + 4 + y) =20
=> 4y = 12
=> y = 3
=> x = 3 + 4 = 7
=> Area of rectangular:
A = Length x Width = 7 x 3 = 21 (cm2)
Hope this helps!
:)