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Vaselesa [24]
3 years ago
8

An object is launched from a platform. Its height (in meters), xx seconds after the launch, is modeled by: h(x)=-5(x-4)^2+180 Ho

w many seconds after being launched will the object hit the ground?
Mathematics
2 answers:
densk [106]3 years ago
6 0

Answer:100 meters

Step-by-step explanation:h(0)=-5(0-4)^2+180

=-5(16)+180

=100

kozerog [31]3 years ago
4 0

Answer:

x=10

Step-by-step explanation:

h(x)=-5(x-4)^2+180

Set y = 0 to find when it hits the ground

0 = -5(x-4)^2+180

Subtract 180 from each side

-180 =-5(x-4)^2+180-180

-180 =-5(x-4)^2

Divide by -5

-180/-5 =-5/-5(x-4)^2

36 = (x-4)^2

Take the square root of each side

±sqrt(36) = sqrt( (x-4)^2)

±6 =  (x-4)

Add 4  to each side

4±6 =  (x-4)+4

4±6=x

x = 10 or -2

But time cannot be negative so x=10

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Liam has bought 48 feet of fencing that he will use to build a pig pen. List 6 different dimensions he could create for his pen
Reptile [31]
I assume, that this pen is rectangular. 

Look, that  48 = 24 * 2 = 12 * 2 * 2 = 3 * 2 * 2 * 2 * 2
And know choose these numbers and multiply! 

First dimension:  3*2 x 2*2*2 = 6 x 8
Second:   3 x 2*2*2*2 = 3 x 16
Third: 3*2*2 x 2*2 = 12 x 4
Fourth: 3*2*2*2 x 2 = 24 x 2
Fifth: 48 x 1
Sixth dimension cannot be integer. So you can for example save this  as
48 = 3 * 16 = 1.5 * 2 * 16 = 1.5 * 32

Sixth dimension:  1.5  x  32

NOTE: each dimensions are in feet!


6 0
3 years ago
A printer designs a tag in the shape of a circle with a smaller circle cut out. She cuts her prototype from a 5 in. by a 7 in. i
Nonamiya [84]

The circumference of the larger circle is about 12.57 inches. The circumference of the smaller circle is about 3.14 inches. So, the total length of gold leaf on a tag is approximately 15.71 inches.

<h3>How to illustrate the circle?</h3>

The circumference will be:

= 2πr

= 2 × 3.14 × 2

= 12.57 inches.

The circumference of the smaller circle will be:

= 2πr

= 2 × 3.14 × 0.5

= 3.14

The total length will be:

= 12.57 + 3.14

= 15.71 inches.

Learn more about circles on:

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7 0
1 year ago
How many times larger is 7 x 106 than 3.5 x 10°?
pickupchik [31]

7 x 106 = 742 3.5 x 10 = 35 742-35=701.it is 701 time larger

6 0
3 years ago
The sum of two numbers is 82. The larger number is eight less then five times the smaller number. What are the numbers?
bonufazy [111]

Answer:

The smaller Number = 15

The larger number = 67

Step-by-step explanation:

Let

The smaller number = x

The larger number = 5x - 8

The sum = 82

(5x - 8) + x = 82

5x - 8 + x = 82

6x - 8 = 82

Add eight to both sides

6x - 8 + 8 = 82 + 8

6x = 90

Divide both sides by 6

x = 90/6

= 15

Therefore,

The smaller number = x = 15

The larger number = 5x - 8

= 5(15) - 8

= 75 - 8

= 67

6 0
2 years ago
State all integer values of x in the interval (-3, 3] that satisfy the following
Galina-37 [17]

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.

We have given

-3x+4 > 9

Required values of x.

State the values of x within -3 and 3.

subtract 4 from both sides,

-3x+4-4>9-4

<h3>What is the meaning of like terms?</h3>

like terms are terms that have the same variables and powers. The coefficients do not need to match.

Collect Like Terms

-3x > 5

(-3x)(-1)   <   5(-1)

3x  <  -5

Divide both sides by 3

3x/3 < -5/3

x    <   -5/3

(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.

To learn more about the interval visit:

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3 0
2 years ago
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