The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
(h,k)
P is the distance between the vertex and either the directrix or focus, in this case p = 1.
a = 1/(4p) or 1/(4*1) or 1/4
write the equation in vertex form
y = a(x-h)^2 + k
y = 1/4(x-8)^2 -7
3 weeks
Step-by-step explanation:
To find the number of weeks, we have to equate the amount already saved and planned to save by both each week.
So we can write the expression as,
Let w be the number of weeks.
25 + 5w =16 + 8w
Grouping the terms as,
25 - 16 = 8w - 5w
9 = 3w
Dividing both sides by 3, we will get,
3w/3 = 9/3
w = 3
So number of weeks = 3
Answer: (b)
Step-by-step explanation:
Given
The letter "BHUTAN" has to be arranged
For filing the first place of 6 letter word, we have 6 choices
Similarly for filling the second place of the word, we have 5 choices as 1 letter is already filled.
In this way, the remaining places can be filled in 4, 3, 2, and 1 way
On combining the above, 6 places can be filled in
![\Rightarrow 6\times 5\times 4\times 3\times 2\times 1=6!\\\Rightarrow 720\ \text{ways}](https://tex.z-dn.net/?f=%5CRightarrow%206%5Ctimes%205%5Ctimes%204%5Ctimes%203%5Ctimes%202%5Ctimes%201%3D6%21%5C%5C%5CRightarrow%20720%5C%20%5Ctext%7Bways%7D)
Thus, option (b) is correct.
<span>x = number of domestic stamps
y = number of foreign stamps
Malik
collects rare stamps and has a total of 212 stamps.
=> x + y = 212
he has 34 more
domestic stamps than foreign stamps.
=> x = y + 34
which
equation represents the total number of stamps malik collected?
x + y = 212
which
equation represents the difference in the number of foreign and domestic
stamps malik collected?
x - y = 34
which system of linear equations represents the
situation?
x + y = 212
x - y = 34
</span>
I’am doing this rn it’s soooo hardddd!! Let me see if I know this one