Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
A mango farm has 1250 mango trees......each tree produces 160 mangoes...so each farm produces : 1250 * 160 = 200,000 mangoes
8,000,000 / 200,000 = 40 <== u would need 40 mango farms
Answer:
96
Step-by-step explanation:
Answer:
The above triangle is an isosceles triangle....
Reason
As we can see AB and DE are parallel to each other
As angle ABC is 80 degree
Therefore BCE is too 80 degree (as they both are alternate to each others)
Hence angle DCB is a 50 degree because in the straight DCE we have angle BCE as <u>80 </u><u>degree</u><u> </u>and Angle ACD as <u>50 degree</u>
Since a straight line has <u>180 degree</u> therefore the remaining angle ACB is 50 degree(180-80-50)
Now in triangle BAC. Angle C is 50 degree and Angle B is 80 degree, since the total angle of a triangle is 180 degree therefore A is 50 degree that is angle BAC is 50 degree(180-50-80) .
Hence here we see that two opposite sides have same angle that is the reason its a ISOSCELES triangle
Answer BY AN INDIAN
THANK YOU
Answer:
Step-by-step explanation:
It would be a 25% chance that she would get her favorite color
