Answer:
Step-by-step explanation:
Using the rule of exponents
×
=
, then
×
=
=
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)
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)
2 answers:
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Answer:
Use pythagoreum theorem to determine whether it is or isn't since I'm not really sure myself but here's my calculations.
Step-by-step explanation:
We need to find AC.
Picture a triangle called ABC. AB is one side and BC the other while AC is the hypotenuse.
AC=
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Not really sure about my answer but hope this helped.
Answer:
See explanation below.
Step-by-step explanation:
A right triangle is a triangle that has a right angle (90º). In math, the Pythagorean theorem allows us to calculate the length of the sides of a right triangle.
In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: where c is the hypotenuse and a and b are the legs.
Now, we can use this formula to calculate the diagonal of the pool if we just have the length and the width (these would be the legs of the triangle). We need to measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.
For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:
Therefore, in this case the diagonal would be 5 ft long.