X is equal to -4. Hope I helped. If you want an explanation too I would be glad to provide that .
Answer:
See below
Step-by-step explanation:
The ratio of the secants is the same when set up as full length to external length.
Formula
MN/LN = QN/PN
Givens
LN = 22 + 14 = 36
MN = 14
PN = 32
QN = x
Solution
14/36 = x / (32) Multiply both sides by 32
14*32 / 36 = x Combine 14 and 32
448/36 = x Divide by 36 and switch
x = 12.4
Answers
PN (External) = 13 is the closest answer
Length LN = 36
Answer:

which is none of the choices provided.
Are you sure the question is right or even the choices?
You can even write it as:
but this is still not a choice.
Step-by-step explanation:
The vertex form of a quadratic is
.
This is called vertex form because it gives you the vertex is
.
We are given that
which makes our equation:
.
We can find the value of
by plugging in the x-intercept (7,0) for
into:



Subtract 25 on both sides:


Divide both sides by 25:

.
So the equation for the quadratic is:

Let's put this into factored form since all the choices are in factored form.
This will require us to multiply the (x-2)(x-2) out:





Factor out -1:

WE need to find two numbers that multiply to be -21 and add to be -4:

I think the greatest common factor is 4
Answer: 9. x=-3/2 10. x=2
x= 5/2 x=5/3
Step-by-step explanation:
9. Factor the equation:
How: put 4x^2 in the bottom left box and -15 in the upper right box.
then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.
Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6
-10 x 6 = -60
-10 + 6 = -4
Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.
I attached a picture. The colored dots correspond with each other.
Eg: Orange dot x orange dot = number in white square
Now you get the two factors (2x+3)(2x-5)
Set both of these equal to 0 and solve
0=2x+3 0=2x-5
x= -3/2 x= 5/2
Do the same for the other problem