can someone please help me solve this?

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = [tex]\frac{1}{3}x^{2}-2x+8[/tex]

Here x = rider's horizontal distance from the start of the ride

i). [tex]y=\frac{1}{3}x^{2}-2x+8[/tex]

      [tex]=\frac{1}{3}(x^{2}-6x+24)[/tex]

      [tex]=\frac{1}{3}[x^{2}-2(3x)+9-9+24][/tex]

      [tex]=\frac{1}{3}[(x^{2}-2(3x)+9)+15][/tex]

      [tex]=\frac{1}{3}[(x-3)^2+15][/tex]

      [tex]=\frac{1}{3}(x-3)^2+5[/tex]

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    [tex]8=\frac{1}{3}(x-3)^2+5[/tex]

    [tex]3=\frac{1}{3}(x-3)^2[/tex]

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

Answer:

64.58

Step-by-step explanation:

Answer:154.84%

Step-by-step explanation:

Answer:

it is 80°

cause it is coming from the same cord AB

O and C will be same

Answer:

x = 40

Step-by-step explanation:

x = 80÷2 = 40

Central angle theorem

Answer: C. 0 ≤ x ≤ 230

When the  A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].

Here the domain is the values of 'x' in the function f(x).

the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)

So, the domain of the function for this situation is [0,260].

Learn more about domain here: https://brainly.com/question/18573273

Answer:

hannah is 47 and Anthony is 45

Step-by-step explanation:

Sum= 92= a+(a+1)

sum= 45+(46+1)

sum= 45+47

sum= 92

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

9x-7i<3(3x-7u)=

9x-7i<9x-21u=

-7i<-21u=

i<3u

This is how you would graph y=5x+1

Answer:

9 Miles

Step-by-step explanation:

Distance = Speed×Time

12× (45/60)

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

Answer: 5r-5s

Step-by-step explanation:

Hope this helps :)

Answer:

(-2,-1)

Step-by-step explanation:

A square has all equal sides so the number between each point is 3. That means, the point has to be 3 away from the other point.

Answer:

Step-by-step explanation:el primer número siempre es x, entonces lo cuentes primero en la línea horiolas el número de espacios que te pide, el segundo es es y , este o cuentes de arriba hacia abajo.

te dejo la respuesta de todos modos

(-2,-1)

Answer:

C≈9.42m

Step-by-step explanation:

C=πd=π·3≈9.42478m

Answer:

6. x = 15

7. JL = 78

Step-by-step explanation:

6. 8x - 23 = ½(10x + 44) (midsegment theorem)

Multiply both sides by 2

2(8x - 23) = 10x + 44

16x - 46 = 10x + 44

Collect like terms

16x - 10x = 46 + 44

6x = 90

Divide both sides by 6

x = 90/6

x = 15

7. MN = 5x - 16

JL = 4x + 34

MN = ½(JL) (midsegment theorem)

5x - 16 = ½(4x + 34) (substitution)

2(5x - 16) = 4x + 34

10x - 32 = 4x + 34

Collect like terms

10x - 4x = 32 + 34

6x = 66

x = 66/6

x = 11

JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34 = 44 + 34

JL = 78

Answer:

9/2 or 4 1/2 or 4.5

Step-by-step explanation:

4+1/2=8/2+1/2=9/2

Answer:

es 4 1/2 creo

Step-by-step explanation:brainliest plis

Answer:

4

Step-by-step explanation:

split it in half u get a subtract sing makes that (8-4=4)

Answer:

51.89085

Step-by-step explanation:

area = 49pi

150/360 * 49pi = 64.14085

triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25

==> white region = 64.14085 - 12.25 = 51.89085

Answer:

(-3, -1) first option

Step-by-step explanation:

Answer:

a³+b³

Step-by-step explanation:

this is formula. You can also refer to the attachment

Answer:

Step-by-step explanation:

(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)

                               = a*a² - a*ab +a*b + b*a² - b*ab + b*b

                               = a³ - a²b + ab   + a²b -ab² + b²

                             = a³ - a²b + a²b + ab - a²b + b²

                            = a³  + ab - a²b + b²

Answer:

no. of consecutive integers--- X, X+1, X+2.

there sum is 60

X+X+1+X+2=60

3X+3=60

X+1=20

X=19

integers are=19, 20, 21

Answer:

Step-by-step explanation:

These represent the points on the graph with w as the x-axis and l as the y -axis. You only need two pairs to make a line, but it is always best to use a 3rd point as a check.

Answer:

your answer is D

Step-by-step explanation:

hope it helps

have a great day (:

Answer:

10

Step-by-step explanation:

7-(-3)=7+3=10

Answer:

Step-by-step explanation:

a^m.

Answer:A

Step-by-step explanation:Yes; the graph passes the vertical line test.

Answer:

[tex]16[/tex]

Step-by-step explanation:

Substituting [tex]a=2[/tex] and [tex]b=3[/tex] into [tex](a^{b}+b^{a})-1[/tex] gives us:

[tex](a^{b}+b^{a})-1[/tex]

[tex]=(2^{3} +3^{2})-1[/tex] (Substitute given values into expression)

[tex]=(8+9)-1[/tex] (Evaluate exponents)

[tex]=17-1[/tex] (Evaluate expression in parentheses)

[tex]=16[/tex] (Simplify)

Hope this helps!

Answer:

16

Step-by-step explanation:

Given

([tex]a^{b}[/tex] + [tex]b^{a}[/tex] ) - 1 ← substitute a = 2, b = 3

= (2³ + 3²) - 1

= (8 + 9) - 1

= 17 - 1

= 16