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ozzi
3 years ago
15

Daredevil Danny takes a practice jump as shown on the graph below. Complete the steps to determine the equation for the paraboli

c trajectory of his practice jump.
a) What are the key aspects of any parabola? What do the key aspects tell you about the graph?
(5 points)

It goes all the way up to its max point and comes down. Its max point is 32 and how far it went was from 15 to 35

b) What are the key aspects of Daredevil Danny’s practice jump shown in the graph provided? Describe each value and how it is determined. (10 points)

It is a standard form graph and he needs to figure out the speed he is going to go and the angle
 
Step 2: Solve for coefficient a.
a) What equation is used to find the vertex form of a parabola with the vertex (h, k)? (5 points)

F(x)=ax2+bx+c
b) Solve for the coefficient a in the vertex form for the parabola in Daredevil Danny’s practice jump using key aspects from step 1. As you solve for the coefficient, explain each step of the process in detail. (15 points)


The picture of the question in the attached figure we know that The equation of a vertical parabola in vertex form is given by where a is the leading coefficient (h,k) is the vertex Looking at the graph we have a vertical parabola open downward (coefficient a is negative)The vertex is a maximum The vertex is the point (25.32) substitute in the equation












c) What is the vertex form of the parabola from Daredevil Danny’s practice jump? (5 points)

f(x)=-12/25(x-25)^2+32
Step 3: Change from vertex form to standard form.
To get Daredevil Danny through the Flaming Hoop Jump of Awesome, you will need to know the values of a, b, and c, which are the coefficients of the quadratic equation in standard form.
a) What is the equation for a parabola in standard form? (5 points)
y = ax^2 + bx + ct



b) Convert the vertex form of the equation you wrote above to standard form. (10 points)






c) What are the values for coefficients a, b, and c in the quadratic equation for Daredevil Danny’s practice jump? (5 points)





Step 4: Calculate the equation for the flaming hoop jump.
Using the same method for the practice jump, write the standard form of the equation that will get Daredevil Danny safely through the Flaming Hoop Jump of Awesome!
a) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)









b) Determine the values of a, b, and c. Show your work. (10 points)


c) Using your values of a, b, and c, did Daredevil Danny successfully pass through the Flaming Hoop Jump of Awesome? If not, describe what happened. Then, go back to critique your work and revise it. Write about your revision. (5 points)


d) Once you have determined the correct values of a, b, and c, verify algebraically that Daredevil Danny will successfully pass through the Flaming Hoop Jump of Awesome. (5 points)

Mathematics
2 answers:
solniwko [45]3 years ago
5 0

Answer:

Step 4

part a: no answer yet still having trouble showing my work

part b:

-0.125(x-24)^2+50

-0.125(x-24)(x-24)+50

-0.125(x^2-24x-24x+576)+50

-0.125(x^2-48x+576)+50

-0.125x^2+6x-75+50

-0.125x^2+6x-22

a=-0.125

b=6

c=-22

part c: yes he went through

part d:

plug in roots (4,0) and (44,0)

if x is 4 and y is 0

0=-0.125(4)^2+6(4)-22

0=-2+24-22

0=-2+2

0=0

if x=44 and y=0

0=-0.125(44)^2+6(44)-22

0=-242+264-22

0=-242+242

0=0

givi [52]3 years ago
4 0

Answer:

Can you do STEPS 2 and 3

Step-by-step explanation:

I am really confused.  When someone likes it I will take down my answer so you can answer it. Thanks! I will give you 15 points

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Four points, A(0,0), B(1, 2), C(3, 1), and D(2,-1) lie in a plane. Line AD and Line BC are BEST described as
anygoal [31]

Answer:

Parallel

Step-by-step explanation:

Parallel lines are 2 coplanar lines that dont intersect at any point

4 0
2 years ago
Identify the constant of proportionality for each direct variation below.
andriy [413]

Answer:

see explanation

Step-by-step explanation:

The equation of 2 quantities in direct proportion is

y = kx ← k is the constant of proportionality

1

y = - 4x ← in standard form

with k = - 4

2

\frac{y}{x} = 2 ( multiply both sides by x )

y = 2x ← in standard form

with k = 2

3

\frac{x}{y} = 3 ( multiply both sides by y )

x = 3y ( divide both sides by 3 )

\frac{1}{3} x = y ← in standard form

with k = \frac{1}{3}

3 0
2 years ago
Solve the equation given in Exercise 15 with and without using the LCD of the fractions. Are your answers the same?
Colt1911 [192]
Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11

with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11

Yes, the answers are the same :)

3 0
3 years ago
Solve the following system of equations.
vodomira [7]

Answer:

a = 6/5

b = 7/8

c = 1/5

Step-by-step explanation:

We want to make two of these equations be in terms of the same variable, so let's solve the first and third  in terms of b.  

5a-24b=-15 -> -3 + 24b/5 = a

48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c

Now we can replace the a and c in the second equation and solve for b.

10a+45c=21

10(-3+24b/5)+45(7/5 - 48b/35) = 21

-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8

Now we can plug b back into the other two to solve for a and c.  I will leave that to you unless you would like the steps there.

7 0
2 years ago
What is the slope of the line A-C?
Volgvan

Answer:

-3/4

Step-by-step explanation:

slope is change in y over change in x

line goes down three units (change of -3) and right 4 units (4)

-3/4

7 0
2 years ago
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