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shepuryov [24]
3 years ago
12

What is the y-intercept of the line?

Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

Answer:

1 :)

Step-by-step explanation:

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NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Oliga [24]

Answer:

\displaystyle 1)48.2    \:  \: \text{sec}

\rm \displaystyle  2)3021.6 \: m

Step-by-step explanation:

<h3>Question-1:</h3>

so when <u>flash down</u><u> </u>occurs the rocket will be in the ground in other words the elevation(height) from ground level will be 0 therefore,

to figure out the time of flash down we can set h(t) to 0 by doing so we obtain:

\displaystyle  - 4.9 {t}^{2}  + 229t + 346 = 0

to solve the equation can consider the quadratic formula given by

\displaystyle x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4 ac} }{2a}

so let our a,b and c be -4.9,229 and 346 Thus substitute:

\rm\displaystyle t =  \frac{ - (229) \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

remove parentheses:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ {229}^{2} - 4.( - 4.9)(346)} }{2.( - 4.9)}

simplify square:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 4( - 4.9)(346)} }{2.( - 4.9)}

simplify multiplication:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 52441- 6781.6} }{ - 9.8}

simplify Substraction:

\rm\displaystyle t =  \frac{ - 229 \pm  \sqrt{ 45659.4} }{ - 9.8}

by simplifying we acquire:

\displaystyle t = 48.2  \:  \:  \: \text{and} \quad  - 1.5

since time can't be negative

\displaystyle t = 48.2

hence,

at <u>4</u><u>8</u><u>.</u><u>2</u><u> </u>seconds splashdown occurs

<h3>Question-2:</h3>

to figure out the maximum height we have to figure out the maximum Time first in that case the following formula can be considered

\displaystyle x _{  \text{max}} =  \frac{ - b}{2a}

let a and b be -4.9 and 229 respectively thus substitute:

\displaystyle t _{  \text{max}} =  \frac{ - 229}{2( - 4.9)}

simplify which yields:

\displaystyle t _{  \text{max}} =  23.4

now plug in the maximum t to the function:

\rm \displaystyle  h(23.4)- 4.9 {(23.4)}^{2}  + 229(23.4)+ 346

simplify:

\rm \displaystyle  h(23.4)  =  3021.6

hence,

about <u>3</u><u>0</u><u>2</u><u>1</u><u>.</u><u>6</u><u> </u>meters high above sea-level the rocket gets at its peak?

5 0
2 years ago
What is the answer for 11 12
Vesnalui [34]
11.) our question issss.....
7 x __ = 420
all we have to do here is the opposite. so lets divide 420 by 7 here the math
420/7 = 60
sooooo answer is 60

12.) our question issss....
50 x __ = 0 
well always keep in mind anything we multiply by 0 is going to be zero 
so for example if we did 4 x 0  is would equal 0 because there arent even any rows to begin with
so your answer issss 0!
have a good one :)

merry christmas:D
6 0
3 years ago
Please help me<br><br>Given: ∆NEW with NS is an angle bisector
Tatiana [17]

See attached picture:

6 0
3 years ago
HELP FAST!!!<br><br> Find 78% of 380. Round to the nearest tenth if necessary.
bonufazy [111]
78% = 78 / 100 = 0.78

What is 78% of 380

= 78% * 380

= 0.78 * 380

= 296.4

U said I should round it up IF NECESSARY so yeah....


5 0
2 years ago
Read 2 more answers
PLEASE HELP!!! deck measures 18 feet by 25 feet Garden measures 9 feet by 12 feet
velikii [3]

Answer:

Area of Garden: 108 feet

The area of the deck, not including the garden: 342 feet

Q3: $1,890

Q4: 151.2

Q5: $2041.2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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