Blue bird began at location (6,0) and hit the ground at (26,0). Find the
quadratic equation for his flight path.

Answers

Answer 1

The quadratic equation for his flight path is y = a(x² - 32x + 156) where a is a constant if the Blue bird began at location (6,0) and hit the ground at (26,0).

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We know the standard form of a quadratic function:

y = ax² + bx + c

Plug x = 6 and y = 0

0 = 36a + 6b + c ...(1)

Plug x = 26, and y = 0

0 = 676a + 26b + c ...(2)

From the equation (1) and equation (2) find the value of b and c

b = -32a

c = 156a

Plug this values in the standard form of a quadratic equation:

y = ax² + (-32a)x + 156a

y = a(x² - 32x + 156)

The above quadratic equation represents the flight path.

Let's take the value of a = -1

y = -1(x² - 32x + 156) (refer attached picture for the path of the graph)

Thus, the quadratic equation for his flight path is y = a(x² - 32x + 156) where a is a constant if the Blue bird began at location (6,0) and hit the ground at (26,0).

Learn more about quadratic equations here:

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Blue Bird Began At Location (6,0) And Hit The Ground At (26,0). Find Thequadratic Equation For His Flight

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Margo missed 30% of her free throw shots in a season. During the season she took a total of 90 free throw shots. How many did she miss

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Answer:

   27

Step-by-step explanation:

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Answer:

A(2, 1)--->A'(2 + 4, 1 - 3) = A'(6, -2)

B(-6, 4)--->B'(-6 + 4, 4 - 3) = B'(-2, 1)

C(-3, -2)--->C'(-3 + 4, -2 - 3) = C'(1, -5)

A trapezoid was broken into a triangle and rectangle.

The area of the rectangle is cm2.
The area of the triangle is cm2.
The area of the trapezoid is cm2.

Answers

Answer:

Step-by-step explanation:

Base x Height = Area

10x12=120 the area of the rectangle is 120

area of the triangle is 28

sorry but I don't know the trapezoid

The area of the rectangle is 120 cm².

The area of the triangle is 24 cm².

The area of the trapezoid is 144 cm².

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know, the area of a triangle is (1/2)×base×height and the area of a rectangle is (length×width).

Therefore, From the given information,

The area of the triangle is, (1/2)×4×12 = 24cm².

And the area of the rectangle is, (10×12) = 120 cm².

Therefore, The area of the trapezoid is,

= (24 + 120) cm².

= 144 cm².

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A rectangular prism has a base area (length and width) of 31.5cm squared. And a height of 4.7cm. What is the volume of the prism?

Answers

Answer:

46.2

Step-by-step explanation:

Answer:

148.05

Step-by-step explanation:

Since the length and width are already multiplied, you only have to multiply the height

31.5 x 4.7 = 148.05 cubic cm

Sally purchases 3 bags of Doritos for $3.96. What is the unit rate

Answers

Answer:

the unit rate is 1.32 per bag

Step-by-step explanation:

divide 3.96 by 3

Answer:

The unit rate or the cost of one bag of Doritos is 1.32

Step-by-step explanation:

3.96 ÷ 3 = 1.32

PLEASE HELP VERY CONFUSED ON WHERE THE DOTS ARE.

Answers

Answer:

(3,3) ( 1,2) (3,1) (-2,-2) (-2 3)

Step-by-step explanation:

have a good day

Step-by-step explanation:

I learned this trick in 4th grade to run and then jump for positives and negatives in the top 2 boxes they do have names I just can't remember them. Sorry if my writings sloppy its hard to do it on a computer.

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Answers

Answer:

positve

Step-by-step explanation:

Positive hope this helped

Circle the pair of angles that are supplements. g. 121° 103° 67° 56° 77° ?

Answers

Answer: poop

Step-by-step explanation:

Answer:

103 and 77

Step-by-step explanation:

Supplementary angles add up to 180 degrees

Angles DEF and PQR are supplementary. Which is the value of x? (x-6) (2x+42) A 18 B. 48 C. 132 D. 42​

Answers

Answer:

x = 48

Step-by-step explanation:

(x - 6)⁰ + ( 2x + 42)⁰ = 180⁰

x - 6⁰ + 2x + 42⁰ = 180⁰

x + 2x - 6⁰ + 42⁰ = 180⁰

3x + 36⁰ = 180⁰

3x + 36⁰ - 36⁰ = 180⁰ - 36⁰

3x = 144⁰

3x / 3 = 144⁰ / 3

x = 48

Hope this helps, thank you :) !!

The answer is x = 48
Have a wonderful day

HELP ME PLEASE IM DYIN ON THIS T -T

Answers

Answer:

1).    452. 4

2.       615.8

3).   254.5

4) 380.1

5) 21.2

6).     3653.1

7) 547.4

8) 2808.6

Circumference-

9).   50.3

10)  53.2

I really hope this helps!

Answer:

1. 452.4

2. 615.8

3. 254.5

4. 380.1

5. 21.2

6. 3653.1

7. 547.4

8. 2808.6

9. 50.3

10. 52.2

Hope It Helps! I'm pretty sure they are correct!

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Answers

Answer:

Lemons: 4     12         36

Limes:    2      6           18

Step-by-step explanation:

For every 2 lemons, there is a lime, 4/2 = 2, so for the first one, 6*2 = 12, and the second, 36/2 = 18

The equivalent rations are 4:2, 12:6, and 36:18

The answer to this question is 12 and 18.

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Answers

Answer:

5/8

Step-by-step explanation:

Answer:I cant do this sorry but good luck!

Step-by-step explanation:

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Answers

Answer:

Translation 9 units to the right and 6 units up

Because on an x-y-graph, positive x goes to the right, and positive y goes up. Adding the 9 and 6 to the x and y shows both are moving in the positive direction.

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What is the M.A.D. of this data set? {2, 6, 6, 7, 9}

Answers

Answer:

1.6

Step-by-step explanation:

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

Answer:

6 Is the m.a.d of it

The objective when solving an equation is to
a- Check the solution
b- Guess and check
C- Isolate the variable
d- Combine like terms

Answers

Answer:

the objective when solving an equation is A check the solution

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You should be able to find it by using the (length x width x height) formula. That’s the formula for volume. Since it’s a cube all the sides should equal the same length width and height. I’m sorry if I’m wrong but I tried! Have a great night!

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Use addition to solve the linear system of equations.

3x - y = 6

y = x - 4

Answers

Answer:

Problem:

Solve 3x−y=6;y=x−4

Steps:

I will try to solve your system of equations.

y=x−4;3x−y=6

Step: Solvey=x−4for y:

Step: Substitutex−4foryin3x−y=6:

3x−y=6

3x−(x−4)=6

2x+4=6(Simplify both sides of the equation)

2x+4+−4=6+−4(Add -4 to both sides)

2x=2

2x

2

=

2

2

(Divide both sides by 2)

x=1

Step: Substitute1forxiny=x−4:

y=x−4

y=1−4

y=−3(Simplify both sides of the equation)

Answer:

y=−3 and x=1

Step-by-step explanation:

Hope this helped you

y=-3,x=1 because of the work

Please help I need help with #17, 19, and 21

Answers

Answer:

Step-by-step explanation:

All the angles in a triangle have to add up to 180 degrees.

#17.)

45+50=95

180-95=85

x=85

#18.)

This one is a little different. The furthest two angles are complimentary which means that they add up to 180 degrees (a straight line.) Once you find the missing angle to that one, you can do the same thing as you did in #17.

180-118=62.

25+62=87

180-87=93

x=93

#21.)

For this one a slightly larger equation is needed. Since we don't have a definite number for the bottom left angle, we have to use x+2 as our number. We first have to find the bottom right angle though.

180-108=72

x+x+2+72=180

2x+74=180

2x=106

x=53

Answer

#17=85

#19=93

#21=53

Study the expression below.
6 − 2 · 3² + 4
What is the value of the expression?

Answers

Answer:

-8

Step-by-step explanation:

6 + 4 = 10

2.[tex]3^{2}[/tex]= 18

10 - 18 = -8

the value/answer of the expression is -8

When did we learn dis

Answers

The answer is y=163°

Which expression is equivalent to 4+2(1+3x)?

4 + 8x

24x

6 + 6x

6 + 18x

Answers

6 + 6x

Explanation:

4 + 2(1 + 3x) =

4 + 2 + 6x =

6x + 6

Answer:

4+2(1+3x)

4+2(3x+1)

4+6x + 2

4+2 + 6x

6 + 6x

how many vertices AND faces does this shape have ? (NO LINKS)

Answers

Answer:

5 faces and 6 vertices

Step-by-step explanation:

Answer:

There are 6 vertices and 5 faces

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Answers

2,143.573333333333


Your formula for this would be 4/3•3.14•8 cubed then you would round your answer. Hope this helps :)

Answer:

201.06192983

Step-by-step explanation:

soz no explanation

The original quantity is 10, the new quantity is 16. What is the percent increase?
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Answers

Answer: The correct answer is 60%

Step-by-step explanation:

Because you start out with 10 and you increase to 16 and the increase would be 60%.

Answer:

60%

Step-by-step explanation:

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Which statements are true for the following expression? (19 + 11) · 15 Check all that are true. All factors are the sum of two terms. The solution is the product of two factors. The solution is the sum of two terms. The second factor is itself the sum of two terms. The first factor is itself the sum of two terms.
IT NEEDS 2 ANSWERS!!!

Answers

Answer:

i dont know what the answer choices are but here is what i got

225   and   900

Step-by-step explanation:

(19 + 11) · 15 = 450

450/2 = 225   or     225 + 225 = 450

450*2 = 900  or     450 + 450 = 900

HOPE THIS HELPS!!!

Answer:

225   and   900

Step-by-step explanation:

What letter on the map represents the Coral Sea?
Group of answer choices

B

A

C

D

Answers

Answer: A

Step-by-step explanation:

a is the correct answer

jackie made bracelets for 8 days. when he was done he had 96 bracelets. write and equation to express how many bracelets jackie made each day.

Answers

96 divided by 8.
Answers 12 bracelets per day

Answer:

12 bracelets.

Explanation:

If we assume Jackie made the same number of beaded bracelets each day, we can divide the total number of bracelets 96, by the amount of days it took to make all the bracelets, 8. This gives us  

  [tex]\frac{96}{8}[/tex]=12

We can check the answer by working backwards. Each day 12 bracelets were made. There were 8 days.  12 × 8 = 96 .  So for 8 days 12 bracelets were made giving Jackie 96 bracelets.

Please help. quickly if possible

Answers

Answer:

B. 254.3 m^2

area of a circle= pi×radius^2

A= pi×9^2

18/2=9

The radius is 9.

A= pi*r^2

A=3.14 x 9^2

A=3.14 x 81

A=254.34

Therefore, the answer is B

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Answers

Answer:

The y-axis.

Step-by-step explanation:

Answer: i think it is the X-axis

Step-by-step explanation:

What is the value of x?

A. 7
B. 10
C.18
D. 22

Answers

the answer would be c

Answer:

B

Step-by-step explanation:

Since all the expressions are on a straight angle (equalling 180) combine the expressions to form on big expression that is equal to 180 and solve.

6x - 10 + 4x + 6 + 7x + 14 = 180

17x + 10 = 180

      - 10    -10

17x = 170

÷17    ÷17

x = 10

Hope this helps

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