Answer:
Approximately 3.8 seconds
Step-by-step explanation:
H(x)=-16x^2+60x+4
We want to find when the ball hits the ground, or where the zeros are
0 =-16x^2+60x+4
Using the quadratic formula
-b ±sqrt(b^2 -4ac)
---------------------------
2a
-60 ±sqrt(60^2 -4*-16*4)
---------------------------
2(-16)
-60 ±sqrt(3600+256)
---------------------------
-32
-60 ±sqrt(3856)
---------------------------
-32
We want the positive value for time
-60-62.09669879
---------------------------
-32
3.815521837
Approximately 3.8 seconds
2x + 12 = 18
18 - 12 = 6
2x = 6
x = 3
Namely, how much is 1/4 of 1/2? well is just their product
Answer:
Increase:
It will have increase when y>x
so, percentage of increase is
Decrease:
It will have decrease when x>y
so, percentage of decrease is
Step-by-step explanation:
Let's assume initial value as x
assume final value as y
Increase:
It will have increase when y>x
so, percentage of increase is
For example:
Initial value is 40
So, x=40
Final value is 50
so, y=50
now, we can find percentage in increase
Decrease:
It will have decrease when x>y
so, percentage of decrease is
For example:
Initial value is 50
So, x=50
Final value is 40
so, y=40
now, we can find percentage in decrease
5. The line that contains the circumcenter in ΔABC is: <em>line k.</em>
6. The line that contains the orthocenter in ΔABC is: <em>line m.</em>
7. The line that contains the centroid in ΔABC is: <em>line l.</em>
8. The line that contains the centroid in ΔABC is: <em>line n.</em>
<h3>What is the Circumcenter of Triangle?</h3>
Circumcenter is the point where all three perpendicular bisectors of the three sides of a triangle meet and they are of equal distance from the three vertices of the triangle.
- The line that contains the circumcenter in ΔABC is: <em>line k.</em>
<h3>What is the Orthocenter of a Triangle?</h3>
Orthocenter is the point in a triangle where the three altitudes that are perpendicular to the opposite sides and connect with the vertices of the triangle intersect.
- The line that contains the orthocenter in ΔABC is: <em>line m.</em>
<h3>What is the Centroid of a Triangle?</h3>
The centroid of a triangle is a the point of intersection where all three medians of a triangle. Medians of a triangle connects the vertices to the midpoints of the opposite sides of a triangle.
- The line that contains the centroid in ΔABC is: <em>line l.</em>
<h3>What is the Incenter of a Triangle?</h3>
The incenter of a triangle is the point in a triangle where all three angle bisectors of the vertices of a triangle.
- The line that contains the centroid in ΔABC is: <em>line n.</em>
Learn more about centers of a triangle on:
brainly.com/question/16045079
