Remark
You have to complete the square twice. Begin by transferring the 75 to the right hand side. Put separate brackets around the x terms and another set around the y terms.
(x^2 + 10x ) + (y^2 - 16x ) = - 75
(x^2 + 10x + (10/2)^2 ) + (y^2 - 16x + (16/2)^2) = - 75 + (10/2)^2 + (16/2)^2
(x + 5)^2 + (y - 8)^2 = - 75 + 25 + 64
(x + 5)^2 + (y - 8)^2 = 14
The center is at (-5,8) which is C
Note: The graph is below just to confirm my answer. Notice where the center is and that the radius is just under 4.
Answer:
f(g(x)) = 2x - 5
Step-by-step explanation:
If f(x) = 2x + 1 and g(x) = x - 3
Then to find the value of f(g(x)) we write x - 3 instead of x in the function f(x)
f(g(x)) = 2 (x-3) + 1 ➡ f(g(x)) = 2x -5
The missing figure is attached down
∠a and ∠e are corresponding angles ⇒ B
Step-by-step explanation:
In the attached figure
- AB is parallel to CD
- They are intersected by a transversal
∵ AB // CD and intersected by a transversal
∴ ∠a = ∠e ⇒ Corresponding angles
∴ ∠b = ∠f ⇒ Corresponding angles
∴ ∠c = ∠g ⇒ Corresponding angles
∴ ∠d = ∠h ⇒ Corresponding angles
∴ ∠c = ∠f ⇒ alternate interior
∴ ∠d = ∠e ⇒ alternate interior
∴ ∠a = ∠h ⇒ alternate exterior
∴ ∠b = ∠g ⇒ alternate exterior
∠a and ∠e are corresponding angles
Learn more:
You can learn more about the parallel lines in
#LearnwithBrainaly
Answer:
x-y is equal to nine and you are asking x-y so the ans is9
20 h
Step-by-step explanation:
300,000 divided by 15,000 = 20 h
