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romanna [79]
3 years ago
13

H(x)=-x^2+10x-16 What is the height of the ball at the time it is thrown

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

<em>0m</em>

Step-by-step explanation:

Before the ball is thrown, it is at the ground level. At the ground level, the height is zero. Substitute h = 0 into the equation;

h(x)=-x^2+10x-16

0=-x^2+10x-16

x^2-10x+16 = 0

Factorize

x^2-8x-2x+16 = 0

x(x-8) - 2 (x-8) = 0

x-2 = 0 and x - 8 = 0

x = 2 and 8

At x = 2

h(2) = -2^2 + 10(2) - 16

h(2) = -4 + 4

h(2) = 0

<em>Hence the height of the ball at the time it is thrown is 0m</em>

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3 years ago
(a) The perimeter of a rectangular field is 310 m.
Softa [21]

Answer:

<h3 />

a. \boxed{ \bold{ \boxed{ \sf{width \: of \: rectangular \: field \:  = 71 \: meter}}}}

b. \boxed{ \bold{ \boxed{ \sf{length \: of \: rectangular \: painting \:  = 85 \: cm}}}}

Step-by-step explanation:

a. Given,

Perimeter of rectangular field ( P ) = 310 m

Length of the field ( L ) = 84 m

Width of the field ( W ) = ?

<u>Finding </u><u>the </u><u>width </u><u>of </u><u>the </u><u>rectangular</u><u> </u><u>field</u>

\boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}

plug the values

⇒\sf{310 = 2(84 + w)}

Distribute 2 through the parentheses

⇒\sf{310 = 168 + 2w}

Swap the sides of the equation

⇒\sf{168 + 2w = 310}

Move 168 to right hand side and change it's sign

⇒\sf{2w = 310 - 168}

Subtract 168 from 310

⇒\sf{2w = 142}

Divide both sides of the equation by 2

⇒\sf{ \frac{2w}{2}  =  \frac{142}{2} }

Calculate

⇒\sf{w = 71 \: m}

Width = 71 meters

------------------------------------------------------------

2. Given,

Area of rectangular painting ( A ) = 5185 cm²

Width of the painting ( w ) = 61 cm

Length of the painting ( l ) = ?

<u>Finding </u><u>length </u><u>of </u><u>the </u><u>painting</u>

\boxed{ \sf{area \: of \: rectangle = l \times w}}

plug the values

⇒\sf{5185 = 61l}

Swap the sides of the equation

⇒\sf{61 \: l \:  = 5185}

Divide both sides of the equation by 61

⇒\sf{ \frac{61 \: l}{61}  =  \frac{5185}{61} }

Calculate

⇒\sf{l = 85} cm

Length = 85 cm

Hope I helped!

Best regards !!!

4 0
3 years ago
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