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7nadin3 [17]
3 years ago
13

NEED HELP ASAP! 40 POINTS!

Mathematics
2 answers:
lubasha [3.4K]3 years ago
6 0

Since the functions represent the heights of the rockets, and we are trying to find when the heights are the same, we essentially just want to know where the functions equal each other.


To find this, let's set both functions equal to each other and solve:

-16x^2 + 74x + 9 = -16x^2 + 82x

  • Set up equation

74x + 9 = 82x

  • Add 16x^2 to both sides of the equation

9 = 8x

  • Subtract 74x from both sides of the equation

\boxed{x = \dfrac{9}{8}}

  • Divide both sides of the equation by 8

Our answer is 9/8 seconds, or approximately 1.13 seconds.

vladimir1956 [14]3 years ago
3 0

Same height when both equations are equal

-16x^2 +  74x + 9 = -16x^2 + 82x

82x - 74x = 9

8x = 9

x = 9/8

x = 1.125

x = 1.13 ---->rounded to nearest hundredths of seconds

answer

1.13 seconds


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Solve using Pythagoras Theorem (please)​
aleksklad [387]

Answer:

HA = 16.2 m

DE = 17 m

Step-by-step explanation:

From the base of the cuboid, HDA will form a right angle triangle, where;

DA = 15 m

HA = 6 m

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Using pythagoras theorem;

HA = √(15² + 6²)

HA = √(225 + 36)

HA = √261

HA = 16.155 m

Approximating to 1 decimal place gives;

HA = 16.2 m

Similarly, HDE will also form a right angle triangle.

Thus;

DE = √((HD)² + (HE)²)

HD = 16.2 m

HE = 5 m

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DE = √(16.2² + 5²)

DE = 16.95 m

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3 years ago
Jonathan rode 1.05 miles on Friday 1.5 miles on Saturday 1.25 miles on Monday and 1.1 miles on Tuesday. On which day did he ride
inna [77]
Friday 1.05 mile
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6 0
2 years ago
Tina must select and answer in any order three of seven
Leno4ka [110]

Answer:

Tina can select and answer the essay questions on her test in 35 ways.

Step-by-step explanation:

The order in which she chooses the questions is not important. For example, choosing questions 1, 3 and 7 is the same as choosing 7, 3 and 1. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

Three questions from a set of 7. So

C_{7,3} = \frac{7!}{3!(7-4)!} = 35

Tina can select and answer the essay questions on her test in 35 ways.

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