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AURORKA [14]
3 years ago
9

Which of the following statements shows the distributive property?

Mathematics
1 answer:
Papessa [141]3 years ago
6 0

Answer:

\displaystyle 5(4 - 2) = 20 - 10

This is a genuine statement of you look real closely at it.

I am joyous to assist you anytime.

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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th
lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

h=-16t^{2}+64t+3

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

-16t^{2}+64t+3=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0 is equal to

t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+64t+3=0  

so

a=-16\\b=64\\c=3

substitute in the formula  

t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}

t=\frac{-64(+/-)\sqrt{4,288}} {-32}

t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec  ---> the time cannot be a negative number

t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec

therefore

The ball will take 4.05 seconds to hit the ground.

4 0
3 years ago
A. How long does the piece of wire need to be to make the shape? Explain.
Misha Larkins [42]

A. The wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered.

B. To determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

Step-by-step explanation:

Step 1:

The circumference of a circle is obtained by multiplying the radius with 2π.

The circumference of a circle = 2 \pi r.

Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.

Step 2:

So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.

So the circumference of the circle = 2(3.1415)(22) = 138.226 cm.

\frac{3}{4} (138.226) = 103.6695 cm and \frac{1}{4}(138.226) = 34.5565 cm.

So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.

7 0
3 years ago
Estimate the quotient (report if calculator answer or incorrect)​
NemiM [27]

Answer:

3.14

Step-by-step explanation:

3.14 is the answer, and here is my work! (I apologize if this answer is incorrect, and I understand If you report me lol)

5 0
2 years ago
Read 2 more answers
What is the sum of the zeros of the equation (m-4) (3m-2)=0 ? Enter your answer as a fraction.
Katen [24]

Answer:

4 2/3

Step-by-step explanation:

(m-4) (3m-2)=0

Use the zero product property to find the zeros

m-4 = 0             3m-2 =0

m =4                    3m =2

                              m = 2/3

We want the sum of the zero's

4+ 2/3

4 2/3

6 0
3 years ago
Once upon a time, a silver dollar contained $1 worth of silver. The sizes of other coins were based on the silver dollar; for ex
LenaWriter [7]
Are u serious this literally explains itself.
7 0
3 years ago
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