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Furkat [3]
3 years ago
6

A tennis ball is rolled off the edge of the roof of a building. Sean times how long it takes the ball to reach the ground and wr

ite the function h(t), that gives the height of the tennis ball in feet where t is the number of seconds since the ball cleared the edge of the roof. h(t)=-16t^2+256
After how many seconds does the tennis ball hit the ground? Show your work.

Mathematics
1 answer:
harkovskaia [24]3 years ago
5 0

Answer:

  4

Step-by-step explanation:

Solving for h(t) = 0, we find ...

  0 = -16t^2 +256

  0 = -t^2 +16 . . . . . . divide by 16

  t^2 = 16 . . . . . . . . . .add t^2

  t = 4 . . . . . . . . . . . . .positive square root

The ball hits the ground after 4 seconds.

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The coordinates of A, B, and C in the diagram are A (p, 4), B (6, 1 ), and C (9, q). Which equation correctly relates p and q? ↔
aivan3 [116]

Answer:

  D.  p + q = 7

Step-by-step explanation:

The slope of AB is ...

  mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)

The slope of BC is ...

  mBC = (q -1)/(9 -6) = (q -1)/3

We want the product of these slopes to be -1:

  mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)

  -(q-1)/(6 -p) = -1 . . . . cancel factors of 3

  q -1 = 6 -p . . . . . multiply by -(6 -p)

  q + p = 7 . . . . . matches choice D

8 0
3 years ago
Trailer will be used to transport 40 kg crate to store. The greatest amount of weight that can be loaded onto the trailer is 105
Scorpion4ik [409]
You can still transport 2040 KG crates to the store.
3 0
3 years ago
Y= - 2x + 4<br> 2x + y = 4
Tomtit [17]

Answer:

Infinite amount of solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -2x + 4

2x + y = 4

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  2x + (-2x + 4) = 4
  2. Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

7 0
3 years ago
Read 2 more answers
Giovanni bought 30 shares of Stock XYZ at the close price of $6.31. He
My name is Ann [436]

Answer:

Use the explantion to answer your question

Step-by-step explanation:

Amount he paid for first 20 shares

= $25 + (20 x $10.51)

= $25 + $210.20

= $235.20

Amount he paid for next 20 shares

= $25 + (20 x $8.93)

= $25 + $178.60

= $203.60

Thus, total amount paid

= $235.20 + $203.60

= $438.80

5 0
3 years ago
Read 2 more answers
Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?
sasho [114]

Answer:

y=12x-16

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

4 0
3 years ago
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