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
Gennadij [26K]
3 years ago
10

Can someone solve ASAP

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
As soon as possible
You might be interested in
A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40
malfutka [58]
PART A

The given equation is

h(t) = - 16 {t}^{2} + 40t + 4

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4

We add and subtract

- 16(- \frac{5}{4} )^{2}

to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4

We again factor -16 out of the first two terms to get,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4

This implies that,

h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4

The quadratic trinomial above is a perfect square.

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4

This finally simplifies to,

h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29

The vertex of this function is

V( \frac{5}{4} ,29)

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

29

PART B

When the ball hits the ground,

h(t) = 0

This implies that,

- 16 ( t- \frac{5}{4}) ^{2} +29 = 0

We add -29 to both sides to get,

- 16 ( t- \frac{5}{4}) ^{2} = - 29

This implies that,

( t- \frac{5}{4}) ^{2} = \frac{29}{16}

t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }

t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}

t = \frac{ 5 + \sqrt{29} }{4} = 2.60

or

t = \frac{ 5 - \sqrt{29} }{4} = - 0.10

Since time cannot be negative, we discard the negative value and pick,

t = 2.60s
8 0
3 years ago
Heres 86 points just put what ever you want for the answer
aliina [53]

Answer:

hi

Step-by-step explanation:

thx for the points

:)

3 0
3 years ago
Read 2 more answers
Find the x and y intercept. 3x + 2y = 12
iris [78.8K]

Answer:

x=4    y=6

Step-by-step explanation:

12 divide by 3 = 4

12 divide by 2 = 6

4 0
3 years ago
Read 2 more answers
Which of the following illustrates the truth value of the given statements?
Amiraneli [1.4K]

hey i think TT- T but im not sure tell if im right

3 0
3 years ago
Read 2 more answers
EASY POINTSSSS AND BRAINLIEST
DiKsa [7]

Answer:

1. 3:1

2. also 3:1

Step-by-step explanation:

ratio has nothing to do with measurements

6 0
3 years ago
Read 2 more answers
Other questions:
  • I need help I tried answering this question but I don’t understand
    11·1 answer
  • If a line crosses the y-axis at (0,1) and has a slope of 4/5, what is the equation of the line ?
    5·1 answer
  • Describe how you would find the sum of 24,36and 13
    15·2 answers
  • Solve 12 3/8 divided by 5 1/2 <br><br><br> Please explain :)
    10·2 answers
  • At a school
    8·2 answers
  • What is reciprocal of 6 and 13 ​
    13·1 answer
  • Describe the number line of the compound inequality
    12·1 answer
  • Covert 1 4/7 into a decimal and show/explain how you got your answer
    9·1 answer
  • What is the working for -(-6)
    5·1 answer
  • A heavy piece of equipment has wheels on one side and legs on the other as shown in the diagram below.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!