PLEASE HELP ASAP I can’t fail this

Answer:

a.)x² + y² = 900

b.)y = √900 - x²

Step-by-step explanation:

P.S - The exact equation is as follows :

As given,

The shape of the roller coaster is a half of a circle. Center the circle at the origin and assume the highest point on this leg of the roller coaster is 30 feet above the ground.

a.)

Equation of circle be x² + y² = r²

As given , leg of the roller coaster is 30 feet above the ground.

⇒ r = 30

⇒x² + y² = 30²

⇒x² + y² = 900

∴ we get

Equation of height of Roller coaster - x² + y² = 900

b.)

As we have,  x² + y² = 900

⇒y² = 900 - x²

⇒y = √900 - x²

The equation that models the height of the roller coaster is [tex]y = \sqrt{900 -x^2[/tex]

The general equation of a circle is:

[tex]x^2 + y^2 = r^2[/tex]

From the complete question, the radius of the circle is 30 units.

This means that:

r = 30

So, we have:

[tex]x^2 + y^2 = 30^2[/tex]

Express 30^2 as 900

[tex]x^2 + y^2 = 900[/tex]

Subtract x^2 from both sides

[tex]y^2 = 900 -x^2[/tex]

Take square roots of both sides

[tex]y = \pm \sqrt{900 -x^2[/tex]

Remove the negative root

This is so because the roller coaster is above the ground, and the height will be positive.

So, we have:

[tex]y = \sqrt{900 -x^2[/tex]

Hence, the required equation is [tex]y = \sqrt{900 -x^2[/tex]

Read more about equations of circle at:

https://brainly.com/question/10244007

Answer:

b

Step-by-step explanation:

Answer:

1 AND 4/19

Step-by-step explanation:

2/3=3/5

lcm=15

10/15+9/15=19/15= 1 AND 4/19

Answer:

60

Step-by-step explanation:

Answer:

81m

Step-by-step explanation:

1/9 = 9/x

x = 81

Answer:

$33

Step-by-step explanation:

A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?

Let us represent, the amount of money he had at the start= x

Money after the first race=2x

Money he had after betting=2x-33

Money after the second race=3x

Money he had after betting on the third race=3x-60

Money after the race=4x

Money he had after betting on the fourth race=4x-68

Money after the race=$64

4x-68=64

4x=68+ 64

4x = 132

x=132/4

x = 33

Therefore, he had $33 at the start

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values

Answer:

Well to start you already know the sandwich cost 5.25 and the total sales tax .92.

To find the cost of each drink

5.25 x 2= 10.50

10.50+.92=11.42

17.00-11.42= 5.58

5.58/3= 1.86

So the cost per Drink is $1.86

Step-by-step explanation:

Hope this helped!

Answer:

2 1/2 pounds

Step-by-step explanation:

Answer: 1200 milliliters.

Step-by-step explanation: 1 liter has 100 milliliters of milk in it. So you have to multiply 1.2 by 100 to get 1200.

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step by step.

Step 1: Simplify both sides of the equation.

−4(2y−4)−4y=4

(−4)(2y)+(−4)(−4)+−4y=4(Distribute)

−8y+16+−4y=4

(−8y+−4y)+(16)=4(Combine Like Terms)

−12y+16=4

−12y+16=4

Step 2: Subtract 16 from both sides.

−12y+16−16=4−16

−12y=−12

Step 3: Divide both sides by -12.

y=1

Answer:

X=10

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

461+1=462

462÷7=66

Your answer is 461

Answer:

461

Step-by-step explanation:

Work backwards.

7 X 66=462

462-1=461

So 461 is the answer

Answer:

Exact Form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5

Step-by-step explanation:

your gonna wanna if possible cancel the common factors.

Answer:

y= 4x − 7 or 0=0

Step-by-step explanation:

4x−y+−4x=7+−4x

The answer would be 18.8

Answer:

6433333356789

Step-by-step explanation:

Answer:

the poounds is of number

Step-by-step explanation:

welcome to branly

Answer:

n = 64

Step-by-step explanation:

3/4n - 8 = 5/8n

-8 = 5/8n - 6/8n

-8 = -1/8n

-n = -64

n = 64

The unknown number is 64.

Important information:

[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].

Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].

[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].

Using the given information form a linear equation.

[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]

Now, solve the equation.

[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]

[tex]\dfrac{6n-5n}{8}=8[/tex]

[tex]\dfrac{n}{8}=8[/tex]

Multiply both sides by 8.

[tex]n=64[/tex]

Therefore, the unknown number is 64.

Find out more about 'Linear Equation' here:

https://brainly.com/question/7244488

Answer:

lesser: -1

Greater: 2

Step-by-step explanation:

We need to figure out what values of x make it equal to 0

because it's all being mulitplied we just need one parathenses to equal 0

so we can set them equal to 0

which means we have

x-2=0

3x+3=0

Solve for x and get

2

-1

Answer:

1st number = 4

2nd number = -1

Step-by-step explanation:

Let n = 1st number

Let m = 2nd number

2n + 4m = 4

n - m = 5

Substitu method, let n = 5 + m

2(5+m) + 4m = 4

10 + 2m + 4m = 4

6m = -6

m = -1

find n:

n - (-1) = 5

n + 1 = 5

n = 4

Answer:

Commutative switches the numbers, while associative keeps the numbers positions but changes the parentheses. I hope that helped

Answer:

A or C

Step-by-step explanation:

Answer:

okkkkk

Step-by-step explanation:

Answer:

Now how did I get the translation rule (x + 1, y + 3). Well basically, I did this :-

-4 - (-5) = 1

12 - 9 = 3

Now let us plug it in the translation rule to see if I get (-4, 12).

(x + 1, y + 3)

(-5 + 1, 9 + 3)

(-4, 12)

I get the same answer given in the problem. Hope this helps, thank you !!