Answer:
here it is
Step-by-step explanation:
hope u understand my dear
Vertex for is
y = a(x - h)^2 + k where (h,k) is the vertex.
so we have
y = a(x - (-2)^2 - 20
y = a(x + 2)^2 - 20
y intercept is (0,-12) so:-
-12 = a(2)^2 - 20
4a = 8
a = 2
y = 2(x + 2)^2 - 20 is the parabola in vertex form Convert to standard form:-
y = 2(x^2 + 4x + 4) - 20
y = 2x^2 + 8x -12 is the answer
Answer:
hey we can only see 13 and for 13 is<em><u> X = 57.36</u></em>
Step-by-step explanation:
since we have opposite and the hypotenuse we use sin...
sin(theta) = opp/hyp
sin(38) = 17/x
and we multiple x to both sides which leaves us with
x * sin(38) = 17
and then divide sin(38) so x can be by it- self which gives us
x = 17/sin(38
X = 57.36
Answer:
There are 1500 non fiction books and 500 fiction books currently in the store.
Step-by-step explanation:
Given:
Total Number of books = 2000
Let the number of fiction books be 'x'.
Now given:
There are 3 times as many non-fiction books as fiction books.
Number of non fiction books = 
We need to find the number of non-fiction and fiction books.
Solution:
Now we know that;
Total Number of books is equal to sum of the number of non-fiction and fiction books.
framing in equation form we get;

Dividing both side by 4 we get;

Number of fiction books = 500
Number of non fiction books = 
Hence There are 1500 non fiction books and 500 fiction books currently in the store.
Answer:
66 minutes, or 1 hour and 6 minutes.
Step-by-step explanation:
let us first do the rectangular aquarium:
8 x 10 = 80
80 x 14 = 1120
now the second box
23 x 25 = 575
575 x 33 = 18975
we can divide the boxes volume:
18975/575 = 33
so all we have to do is times 33 by 2 which equals:
66 minutes, or 1 hour and 6 minutes.