Mathematics, 03.09.2019 02:30 jsbappelp4ipbn

The path of a shot put released at an angle of 35° can be modeled by y=−0.01x2+0.7x+6, where x is the horizontal distance (in feet) and y is the vertical distance (in feet). find and interpret the coordinates of the vertex.
the coordinates of the vertex are ( , )
when the shot put is at its highest point, it is ( ) feet from its starting point and ( ) feet off the ground.

Answers: 3

Show answers

Answers

Answer from: sadielebaron

The vertex of an equation is the maximum or minimum point of the graph

The coordinates of the vertex is: (70,6)When the shot put is at its highest point, it is 37.1 feet from its starting point and 35 feet off the ground.

The equation is given as:

$\mathbf{y = -0.01x^2 + 0.7x + 6}$

For a quadratic equation:

$\mathbf{y = ax^2 + bx + c}$

The coordinates of the parabola is:

$\mathbf{(h,k)}$

Where:

$\mathbf{h = -\frac{b}{2a}}$

$\mathbf{k = f(h)}$

In $\mathbf{y = -0.01x^2 + 0.7x + 6}$

$\mathbf{b = 0.7}$

$\mathbf{a = -0.01}$

So:

$\mathbf{h = -\frac{b}{2a}}$

$\mathbf{h = \frac{-0.7}{-2 \times 0.01}}$

$\mathbf{h = 35}$

Recall that:

$\mathbf{k = f(h)}$

So, we have:

$\mathbf{k = f(35)}$

This gives:

$\mathbf{k = -0.01\times 35^2 + 0.7 \times 35 + 6}$

$\mathbf{k = 18.25}$

Hence, the coordinates of the vertex is: (35,18.25)

The starting point is when $\mathbf{x = 0}$

So, we have:

$\mathbf{y = -0.01\times 0^2 + 0.7 \times 0 + 6}$

$\mathbf{y = 6}$

The coordinates of the starting point is (0,6)

The distance between the starting point and the vertex is:

$\mathbf{d =\sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}}$

$\mathbf{d =\sqrt{(35 -0)^2 + (18.25 - 6)^2}}$

$\mathbf{d =\sqrt{1375.0625}}$

$\mathbf{d =37.1}$

So, the interpretation is that:

When the shot put is at its highest point, it is 37.1 feet from its starting point and 35 feet off the ground.

Read more about vertex at:

link

The path of a shot put released at an angle of 35° can be modeled by y=−0.01x2+0.7x+6, where x is th

Answer from: lillygrl100

Coordinates of vertex (35,18.25)

The vertex is the highest point the shot put reached

When the shot put is at its highest point, it is 37.1 feet from its starting point and 35 feet off the ground.

Step-by-step explanation:

Given the equation as ;

y= −0.01 x² + 0.7x + 6

You can use the graph tool to view the turning point of the graph (vertex)

From the graph

Coordinates of vertex is (35,18.25)

x-intercepts are (-7.72,0), (77.72,0)

y-intercept is (0,6)

The distance from the highest point of the shoot put to its initial position is the distance of the line joining the vertex of the parabola and the initial position of shoot put.

Here you find the distance between point A(0,6) and B(35,18.3)

Apply the distance formula;

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2} } \\\\\\d=\sqrt{35-0)^2+(18.3-6)^2} \\\\\\d=\sqrt{35^2+12.3^2} \\\\\\d=\sqrt{1376.29} \\\\\\d=37.098\\\\d=37.1$

Answer from: Quest

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

Answer from: Quest

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

Another question on Mathematics

Mathematics, 21.06.2019 18:00

Last year, a state university received 3,560 applications from boys. of those applications, 35 percent were from boys who lived in other states. part a)how many applications did the university receive from boys who lived in other states? part b)applications to the university from boys represented 40percent of all applications. how many applications did the university receive in all? i don't how to do part b so me and plz tell how you got your answer

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

1. a parachutist is 800 feet above the ground when she opens her parachute. she then falls at a constant rate of 5 feet per second. select the equation that represents this situation. h = -800t + 5 y = -5x + 800 h = 5t - 800 y = 800x + 5 i need

Answers: 1

Answer

Mathematics, 21.06.2019 21:50

Which graph depicts the path of a projectile

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

If my mom gets $13.05 an hour, and she works from 3: 30 to 10: 45 in the morning, how much money does my mom make?

Answers: 1

Answer

You know the right answer?

The path of a shot put released at an angle of 35° can be modeled by y=−0.01x2+0.7x+6, where x is th...