We know that
if the y terms is squared so it opens left or right
Is a Horizontal Parabola, the equation is of the form
(y-k)²=4(p)(x-h)
vertex is (h,k)
and
p is distance from focus to vertex, also distance from vertex to directrix
if p>0, then it opens to the right and directrix is to the left of vertex
if p<0, then it opens to the left and directrix is to the right of vertex
so
(y-1)²=4(4)(x-(-3))
vertex is (-3,1)
4>0 so directrix is to left of vertex
left is in x direction
-3-4=-7
directrix is x=-7
the answer isx=-7
see the attached figure
Answer:
40°, 60°, and 80°
Step-by-step explanation:
We know that the sum of the angles of a triangle is equal to 180°.
We can use this equation to solve for these angles:
180 = 2x + 3x + 4x
180 = 9x
20 = x
Then substitute the solution in for x to solve for the angles:
2(20) = 40°
3(20) = 60°
4(20) = 80°
Therefore, the angles are 40°, 60°, and 80°.
Answer:
B. if F is a fuction then F(2+h)=f(2)+f(h)
Step-by-step explanation:
Answer:
The selling price of the puppy is $284.50.
Step-by-step explanation:
In the present case, the puppy's original selling price is $ 339.50. At this price a discount of $ 55 is made, that is, that amount is subtracted from the original price, modifying the sale price.
Therefore, since 339.50 - 55 results in 284.50, the puppy's sale price goes from $ 339.50 to $ 284.50, taking the aforementioned discount.
Total number of songs in Julie's MP3 player = 860
Percentage of rap songs in Julie's MP3 player = 20%
Then
Number of rap songs in Julie's MP3 player = (20/100) * 860
= 860/5
= 172
Percentage of R&B songs in Julie's MP3 player = 15%
Then
Number of R&B songs in Julie's MP3 player = (15/100) * 860
= 1290/10
= 129
So
The number of other types of songs in Julie's MP3 player = 860 - (172 + 129)
= 860 - 301
= 559
So the number of other types of songs in Julie's MP3 player was 559.