We have the parabola with equation y = 4x².
We have to determine the shape and direction of it.
If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.
As the value of a is positive, the parabola will open upward.
The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.
This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.
Answer:
Because a is positive the parabola opens upward.
Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.
Answer:
Hope this helps
Step-by-step explanation: Number 81 decreased by 7% (7 percent) of its value (percentage decrease) and calculated absolute change (actual difference). Answer: percentage decreased number = 75.33, absolute change (actual difference) = -5.67
Answer:
The length of AP will be 14 units.
Step-by-step explanation:
As P is the centroid of ΔABC as shown in question figure.
As the side AB of the triangle has the midpoint D, the side AC of the triangle has the midpoint F and the side BC of the triangle has the
midpoint E.
Hence, CD, BF and AE being medians of ΔABC.
The point of intersection of these medians will be the centroid of the triangle. Hence, P is the centroid of ΔABC
According to rule, the centroid point of the triangle ΔABC divides each median into two segments in the ratio 2 : 1.
So,
As the value of AE = 21
So,
AP = 14
So, the length of AP will be 14 units.
Keywords: centroid, triangle
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Answer:
15years
Step-by-step explanation:
Given data
Rate= 9%
Principal= $2000
Final amount= $4700
The simple interest formula is given as
A= P(1+rt)
Substitute
4700=2000(1+0.09*t)
4700= 2000+ 180t
4700-2000= 180t
2700=180t
t= 2700/180
t= 15 years
Hence the time is 15years
You would start by finding the area of the circle and then finding the area of the rectangle. After finding both, subtract the area of the rectangle from that of the circle. <span />
