Answer:
Standard form: 
Center: 
Radius: 
Step-by-step explanation:
The equation of a circle in the standard form is
Where the point (h, k) is the center of the circle
To transform this equation 
this equation in the standard form we use the method of square.
First, we group similar variables
Divide both sides of equality by 4
Now we complete square for variable x.
Take the coefficient "b" that accompanies the variable x and divide by 2. Then, elevate the result to the square:
Now add 
on both sides of the equality
Factor the expression and simplify the independent terms
Then
and the center is
radius
Answer:
Option 2: 27 is the correct answer.
Step-by-step explanation:
Given functions are:
As we can see that the function g(x) in written in terms of f(x), first of all we have to find g(x) by putting the value of f(x) in g(x)
So putting f(x) = x^2-2 in g(x)
As g(-3) has to be found, putting x=-3 in g(x)
Hence
Option 2: 27 is the correct answer.
Answer:
1/2
Step-by-step explanation:
According to pythagoras theorem;
(sinx)²+(cosx)² = 1
Given that sinФ = √3/2
Substitute into the formula
(√3/2)²+(cosx)² = 1
3/4+(cosx)² = 1
(cosx)² = 1 - 3/4
(cosx)² = 1/4
cos x = √1/4
cos x = 1/2
Hence the value of cosФ is 1/2
Answer:
30
Step-by-step explanation:
21*10=210
210/7=30
x=30
Answer:
EF = 7 units
AD = 3 units
BC = 11 units
Step-by-step explanation:
Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 1/2x - 2 + x - 1 1/2
x = 1 1/2 x - 3.5
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units
