Answer:
Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the smallest angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
one angle is 130 degrees more than the smallest angle
----> equation B
the third angle is 3 times as large as the smallest angle
---> equation C
substitute equation B and equation C in equation A
solve for y
Find the value of x
Find the value of z
therefore
The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
In the above question, A parabolic equation is given as follows:
Y = x^2 - 6x + 4
The equation of the parabola in the vertex form is :
y = a (x - h + k
Where a is a multiplier in the equation and (h,k) are the coordinates of the vertex
So, in order to obtain this form, we will use the method of completing square :
Y = x^2 - 6x + 4
y = - 6x + (9 -9) + 4
y = (x - 3 + ( -9 + 4)
y = (x - 3 - 5
where, ( 3, -5) is the vertex of the parabola and 1 is the multiplier
Hence, The equation of the parabola in the vertex form is y = (x - 3 - 5 with ( 3, -5) is the vertex of the parabola and 1 is the multiplier
To learn more about, parabola, here
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Given :
Amount of cereal in smaller box , 6 + 7.1 .
Amount of cereal in big box , 12 + 6.9n ( here , n is number of small boxes ).
To Find :
The amount of cereal that the new larger boxes contains how many smaller boxes equal the same amount of cereal in the larger box.
Solution :
Let, number of boxes required to satisfy given condition is x.
So,
Therefore, two small boxes are required.
Hence, this is the required solution.
Interest calculated using the previous balance method is LOWER than the average daily balance method when large payments are made during the month.
The previous balance method is an accounting method where interest charges are based on the amount owed at the end of the beginning of the billing cycle.