Identify the focus and directrix of the parabola whose equation is (y-4)^2 = -12(x-7)

Mathematics

2 answers:

sertanlavr [38]3 years ago

6 0

Answer : Focus (4,4) , directrix x=10

Given equation is

$(y-4)^2 = -12(x-7)$

The given equation is in the form of

$(y-k)^2 = 4p(x-h)$

Where vertex is (h,k)

h = 7 and k = 4 so vertex is (7,4)

4p = -12 so p = -3

Focus is (h+p, k)

h=7, k=4 and p = -3

focus is (7-3, 4) that is (4,4)

now we find directrix

Directrix x= h-p

So x= 7-(-3)= 10

Focus (4,4) , directrix x=10

vredina [299]3 years ago

5 0

Answer : Focus (4,4) , directrix x=10

You might be interested in

Which is the smallest (a)-1 (b)-1/2 (c)0 (d)3

faltersainse [42]

Answer:

Step-by-step explanation:

8 0

3 years ago

Which angle measure in the triangle shown is the largest? A.) B.) C.) D.) Not Possible

alex41 [277]

You haven't provided neither the diagram nor the options.
Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.

For a triangle, the measure of each angle is proportional to the length of its opposite side.
This means that:
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side

Since you are looking for the largest angle, pick the one facing the longest side

Some tips and tricks:
1- In a right angle triangle, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
2- In an obtuse triangle, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
3- In equilateral triangle, all three angles are equal

Hope this helps :)

8 0

4 years ago

What is 4 1/3 * 2 1/7 as a mixed number in simplest form?

Ronch [10]

Answer:

9 2/7

Step-by-step explanation:

4 1/3=13/3

2 1/7=15/7

13/3*15/7= 195/21

=9 6/21

=9 2/7