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BlackZzzverrR [31]
3 years ago
13

What is the distance between the florist’s shop (D) and the car wash (E)? Explain using coordinate subtraction.

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

hi! once you link the picture I will answer the problem.

Step-by-step explanation:

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Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
The truck is Karen tomato juice pineapple juice and grape juice bottles in a ratio of 2: 3: 2grape juice bottles and how many ju
tigry1 [53]

Answer:

7

Step-by-step explanation:

If the ratio is 2:3:2 that means that there is 2Karen tomato juice bottles, 3pineapple juice bottles and 2 grape juice bottles you just have to find the sum and get 7juice bottles

3 0
3 years ago
10+10 is the same as 11+11<br> do you understand?
Inga [223]

Answer:

wow

Step-by-step explanation:

lol idle b Betsey e wet get hectic

3 0
3 years ago
Read 2 more answers
Trapezoid JKLM is shown on the coordinate plane below:
ololo11 [35]

Answer:

( 1, -4)

Step-by-step explanation:

To find this answer you go over 2 to the right on the x-axis, then go down 6 on the y-axis. This gives ( 1, -4).

3 0
3 years ago
Brent purchased a used vehicle that depreciates under a straight-line method. The initial value of the car is $7500, and the sal
Ilia_Sergeevich [38]
Let the value of the vehicle be described by the equation
V = a + bx
where x =  number of years since purchase
a,b are constants.

When x = 0, V = $7500. Therefore
a + b*0 = 7500
a = 7500

When x = 7, V = $500. Therefore
7500 + 7b = 500
7b = 500 -7500 = -7000
b = -7000/7 = -1000

The equation is
V = 7500 - 1000x

The slope of this equation is the depreciation rate, and it is -$1000 per year.

Answer: $1000 depreciation per year.

5 0
3 years ago
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