Answer:
Circle
Step-by-step explanation:
because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1
ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1
parabola is y= a (x-h) 2+ k
that's why circle is the answer
To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
Answer:
a.y'=-1
b.y'=-1
c.Yes
Step-by-step explanation:
We are given that consider a function

Implicit function: That function is a relation in which dependent variable can not be expressed in terms of independent variable
Explicit function: It is that function in which dependent variable can be expressed in terms of independent variable.
a.
Differentiate w.r.t x then we get




b.


Differentiate w.r.t x then we get


When we substituting the value of y obtained from part b into a solution of part a then we get

Hence, solutions are consistent.
Answer:
1.25
Step-by-step explanation:
(1/10) x 12.5
Answer:
Consider the expression
. q is called the quotient, a is is the dividend and b is the divisor.
Since q is a multiple of 6, then q has the form
for some integer k.
Since a is a multiple of 9, then a has the form
for some integer s.
Since b is a factor of 12, then if 12 can be expressed of the form
, for c an integer. Then b has the form 
Replacing the preview expression in the initial expression we obtain:

Then
is a equation to Isabel's problem.