1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gekata [30.6K]
2 years ago
8

1.) Alexander jumped off a cliff into the ocean in Acapulco while on vacation. His height as a function of time could be modeled

by the function h(t) = -16t2 + 16t + 480, where t is the time in seconds and h is the height in feet. a. How long did it take for Alexander to reach his maximum height? b. What was the highest point that Alexander reached? c. Alexander hit the water after how many seconds? d. Make a sketch of graph of his dive.

Mathematics
1 answer:
Dmitrij [34]2 years ago
6 0
So hmmm check the graph below

now.. to find the vertex of any quadratic

\bf \textit{vertex of a parabola}\\ \quad \\

\begin{array}{lccclll}
h(t)=&-16t^2&+16t&+480\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}\qquad 
\left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad  {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)

so... how long did it take? well, it took \bf -\cfrac{{{ b}}}{2{{ a}}}

what was the highest point? well, it was \bf {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}

when did he hit the water?  well, at y = 0
that is h(t) = -16t^2 + 16t + 480 \implies 0 = -16t^2 + 16t + 480,

solve for "t"

You might be interested in
WHICH ONE OF THE TWO APPROXIMATIONS IS BETTER ESTIMATE FOR PI? EXPLAIN
shepuryov [24]
3.142 because if you put pi in a calculator, it will be 3.1425..., ad 3.142 is closer to 3.1425 than 3.141
6 0
2 years ago
Read 2 more answers
Please help, nothing on google is able to answer the question
Sloan [31]
Answer I believe is H
6 0
2 years ago
200x-300y=600 graph linear equation
mojhsa [17]

200x-300y=600

<u>Explanation</u>

Slope= 2/3

Y intercept= -2

x y

0 3

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

-2 0

Linear equations are those equations between variables that give a straight line when plotted on the graph.The standard form for linear equations in two variables is Ax+By=C.

linear equation refers implicitly to the case of just one variable. Here the linear equation 200x-300y=600 gives straight line when plotted on the graph.

The graph linear equation means the linear equation has to be plotted on the graph. After plotting it on the graph we get straight line passing x and y axis. The graph has been attached to the answer.

5 0
3 years ago
How do you solve this
mina [271]

Answer:

D. The m<4 is 137°

< 4 = 180 \degree  - 43 \degree \\  < 4 = 137 \degree

5 0
2 years ago
Select the best answer for the question.
nekit [7.7K]
B because absolute value means that the number inside the absolute value brackets is the positive version of the number
8 0
3 years ago
Other questions:
  • The temperature at a ski resort dropped from 6 Celsius to -5 Celsius.
    12·1 answer
  • the sum of two numbers is 15 one number is twice as large as the second number what are the tw numbers which let statement would
    10·1 answer
  • -6x - 3 (5x +4) = 93<br><br> What is X?
    13·1 answer
  • Keith is using 12 brown and 8 white tiles to design a section of an outdoor patio for his home. Which ratio compares the number
    11·1 answer
  • Write an equation of a line in slope intercept form that contains the points (4,-4) and (-2,-2)
    15·1 answer
  • Mrs.Lewis bought 100 yards of ribbon.She used some of the ribbon to decorate dresses .Now she has 67 yards of ribbon remaining.
    9·1 answer
  • Find the angle between following linesroot 3x-y=2,x-root 3y=7<br><br>​
    14·1 answer
  • A researcher would like to investigate whether or not there is a difference in IQ between Psychology and History majors. She gat
    8·1 answer
  • Help pls lollll <br> 10th grade mathematics
    15·1 answer
  • Michael has 5 quarts of honey he is putting into jars. He separates each quart into fourths and wants to put 1/4 quart in each j
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!