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jok3333 [9.3K]
3 years ago
8

A soccer ball is kicked off from the ground in an arc defined by the function, h(x)=-8x^2+64x. At what point does the ball hit t

he ground?
(0,4) , (0,8) , (4,0) , (8,0)
Mathematics
1 answer:
tangare [24]3 years ago
6 0

Answer:

(8,0)

Step-by-step explanation:

The equation that models the path traced by the ball is

h(x)=-8x^2+64x

To find the point at which the ball hit the ground, we must equate the function to zero.

-8x^2+64x=0

Factor;

-8x(x-8)=0

-8x=0,(x-8)=0

This implies that;

x=0,x=8,

At x=0, the ball was not yet kicked.

So we take x=8, to be the time the ball hit the ground.

We substitute x=8 into the function to get;

h(8)=-8(8)^2+64(8)=0

Hence the point at which the ball hit the ground is (8,0)

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<h3>Further explanation</h3>

Problem: given 913,256.

Question: what is the value of the digit 9.

This is a problem with place value.

Let's set the place values from 913,256 consecutively as follows.

  • In the thousands period: 9 hundred thousands, 1 ten thousands, 3 one thousands.
  • In the units period: 2 hundreds 5 tens 6 ones.

Let us say in word form: nine hundred thirteen thousand two hundred fifty-six.

Hence, the value of the digit 9 in the numbers 913,256 is 900,000 or nine hundred thousand.

- - - - - - -

What is the value of the digit 1 in the numbers 913,256? The answer is 10,000 or ten thousand.

- - - - - - -

<u>Notes:</u>

Just as a reminder, the digits in large numbers are in groups of three places, i.e.,

  • hundreds,
  • tens,
  • ones (or units).

The groups are called periods, i.e.,

  • millions period;
  • thousands period;
  • ones or units period.

Commas are typically used to separate the periods.

<h3>Learn more</h3>
  1. An example of the four types of number form brainly.com/question/4725342
  2. The similar problem brainly.com/question/106975
  3. What 3 digits are in the units period of 4,083,817?  brainly.com/question/558692

Keywords: what is the value of the digit 9 in the numbers 913,256, the units period, a large number, standard form, millions, thousands, hundreds, tens, ones, the place value, nine, thirteen, two, fifty-six, number form

8 0
2 years ago
Read 2 more answers
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