The main cable of a suspension bridge forms a parabola modeled by the equation y = a(x – H)2 + k where y is the
height in feet of the cable above the road, x is the horizontal distance in feet from the right bridge support, a is a
constant, and (h, k) is the parabola's vertex. What is the maximum and minimum height of the bridge modeled by the
equation y = 0.005(x - 60)2 + 8?
O maximum height = 100 feet and minimum height = 26 feet
O maximum height = 100 feet and minimum height = 8 feet
O maximum height = 60 feet and minimum height = 26 feet
O maximum height = 26 feet and minimum height = 8 feet

Answer:

One of the ways you could describe the solution is 18+23=x x=41.

Step-by-step explanation:

Answer:

X = 41

▬▬▬▬▬

41 - 23 = 18

23 + 18 = 41x

▬▬▬▬▬

Hope it helps!

Please Mark Brainliest.

Answer:

No Clue

Step-by-step explanation:

Answer:

4!

Step-by-step explanation:

Please rate 5 stars and give brainlest.

Answer:

That means he will have $100

Step-by-step explanation:

Half of 200 is 100

Answer:

The point (11, 5) is NOT on the parabola.

Step-by-step explanation:

Let [tex](x_0,y_0)[/tex] be any point on the parabola

Let [tex](a, b)[/tex] be the focus

Let [tex]y=c[/tex] be the the directrix

Distance between [tex](x_0,y_0)[/tex] and the focus: [tex]\sqrt{(x_0-a)^2+(y_0-b)^2}[/tex]

Distance between [tex](x_0,y_0)[/tex] and the directrix is [tex]|y_0-c|[/tex]

Given:

Therefore:

Distance between [tex](x_0,y_0)[/tex] and the focus: [tex]\sqrt{(x_0-6)^2+(y_0-4)^2}[/tex]

Distance between [tex](x_0,y_0)[/tex] and the directrix is [tex]|y_0-0|[/tex]

Equate the two expressions and solve for [tex]y_0[/tex]:

     [tex]\sqrt{(x_0-6)^2+(y_0-4)^2}=|y_0-0|[/tex]

[tex]\implies (x_0-6)^2+(y_0-4)^}=(y_0-0)^2[/tex]

[tex]\implies {x_0}^2-12x_0+36+{y_0}^2-8y_0+16={y_0}^2[/tex]

[tex]\implies {x_0}^2-12x_0-8y_0+52=0[/tex]

[tex]\implies 8y_0={x_0}^2-12x_0+52[/tex]

[tex]\implies y_0=\dfrac18{x_0}^2-\dfrac{12}{8}x_0+\dfrac{52}{8}[/tex]

[tex]\implies y_0=\dfrac18{x_0}^2-\dfrac32x_0+\dfrac{13}{2}[/tex]

Now rewrite with (x, y):

[tex]\implies y=\dfrac18x^2-\dfrac32x+\dfrac{13}{2}[/tex]

Therefore, this is the equation of the parabola

To determine if the point (11, 5) is on the parabola, input x = 11 into the equation:

[tex]\implies y=\dfrac18(11)^2-\dfrac32(11)+\dfrac{13}{2}[/tex]

[tex]\implies y=\dfrac{41}{8}[/tex]

So the point (11, 5) is NOT on the parabola.

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Answer:

[tex]\tt x=5[/tex]

Step-by-step explanation:

[tex]\tt 18x-5=13x+4x+1-11[/tex]

[tex]\tt 18x-17x=15-10[/tex]

[tex]\tt x=5[/tex]

~

Answer:

7.27 is the irrational number

Step-by-step explanation:

7.27 can not turn into a fraction because it keeps on repeating

There are no Irrational numbers in the list.

We have a set of numbers - 7.27, 5, 9215, 2196.

We have to circle out the Irrational ones.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction - p/q where p and q are integers.

According to the question, we have -

7.27, 5, 9215, 2196

Now -

7.27 =  [tex]$\frac{727}{100}[/tex]  → It is Rational.

5 = [tex]$\frac{5}{1}[/tex] → It is Rational.

9215 = [tex]$\frac{9215}{1}[/tex] → It is Rational.

9215 = [tex]$\frac{2196}{1}[/tex] → It is Rational.

All the numbers are Rational as they can be expressed in the form of p/q.

Hence, there are no Irrational numbers in the list.

To solve more questions on Rational and Irrational numbers, visit the link below-

https://brainly.com/question/20400557

#SPJ2

Answer:

X=11

Step-by-step explanation:

|3x-9|=24

is the same as

3x-9=24

which becomes

3x=33  because you add 9 to both sides

which is

x=11 because you divide by 3

Answer:

c for first page. b for second. d for third page

Step-by-step explanation:

Answer:

Depends on what you think your instructor is looking for either it is 45 students, or the answer is 41.

Step-by-step explanation:

41 is the answer if you subtract the port fees from the amount raised then divided the remainder by cost per student .

Answer:

Ravi: 120

Isha: 180

Step-by-step explanation:

Think of the ratio as parts. Ravi gets 2 parts while Isha gets 3.

But, we don't know how much each gets. This is written as X.

The ratio of 2:3 can be set up in an equation as 2x and 3x.

We know that the total is 300.

[tex]2x+3x=300\\5x=300\\x=60[/tex]

Ravi has 2 parts:

[tex]2(60)=120[/tex]

Isha has 3 parts:

[tex]3(60)=180[/tex]

Answer:

C. -16.25 inches

Step-by-step explanation:

First, we need to find out the total rainfall in the three days

0.75 + 0.75 + 0.75 = 2.25

Now, we need to subtract this number from 18.5

18.5 - 2.25 is 16.25

So, your answer is -16.25

I really hope this is right and I really hope this helps!

Answer:

Answer = 0.5 pages per minute.

Step-by-step explanation:

150 ÷ 5 = 30 pages an hour

30 ÷ 60 ( Minutes in an hour ) = 0.5 Pages/ Minute.

Hope this helps.

Answer:

2/3

Step-by-step explanation:

Divide 1/2 by 3/4 to get 1/2 x 4/3 = 2/3 mph

Answer:

d all if these things are a part of self awareness

Answer:

d.  All of the above

Step-by-step explanation:

E2020

Answer:

[tex]Final\ Score = 4\ points[/tex]

Step-by-step explanation:

Given

[tex]Silverthorn\ Dragon = 10\ points[/tex]

[tex]Fire\ Scorches = -6\ points[/tex]

Required

Determine the final score

Final score is calculated as follows:

[tex]Final\ Score = Silverthorn\ Dragon + Fire\ Scorches[/tex]

[tex]Final\ Score = 10\ points -6\ points[/tex]

[tex]Final\ Score = 4\ points[/tex]

Answer:

4

Step-by-step explanation:

Answer:

x=1.5

Step-by-step explanation:

triangle JLM is similar to triangle QST

so we know that similar triangles have proportionate sides

so..

JM/LM=QT/ST

4/(6x-3)=2/3

3*4=2(6x-3)

12=12x-6

12x=18

x=1.5

X = 1.5

On paper, I worked it out. Despite the fact that answers have already been offered, this might be used as confirmation that the answers given by other members are correct.

Have a wonderful day.

Answer: x

2

=

81

can be written as

x

2

−

81

=

0

by property ,

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

The expression becomes

x

2

−

(

9

)

2

=

0

(

x

−

9

)

(

x

+

9

)

=

0

equating each of the terms with zero we obtain the solution

x

−

9

=

0

and

x

+

9

=

0

the solutions are

x

=

9

or

x

=

−

9

Step-by-step explanation:

Answer:

A) Take the square root of both sides to solve

E) x = ±9

Step-by-step explanation:

Answer:

Square root of 9 = 3 ! ^^

Step-by-step explanation:

[tex]3*3=9 \\3^{2}=9\\\sqrt{9} = 3[/tex]

^^

Answer:

5985.97

Step-by-step explanation:

A=33

2a2=3·3

2·482≈5985.96759

Answer:

He charges a flat rate of 75, and any extra work will be 54 dollars per hour.

Step-by-step explanation:

Answer:

he charges $75

Step-by-step explanation:

Answer:

y = - 1 2/3x + 2

Step-by-step explanation:

Step 1:

y = mx + b        Slope intercept Form

Step 2:

y = - 5/3x + b      Input Slope

Step 3:

2 = - 5/3 ( 0 ) + b       Input x and y

Step 4:

2 = b      Multiply

Answer:

y = - 1 2/3x + 2       Input b

Hope This Helps :)

a triangle.........................................

Answer:

a rectangular pyramid

Step-by-step explanation:

carry out this experiment

get a sheet of paper, create a square from the sheet, after that divide the square in half. Which shape is formed.

Do mark brainliest

Answer:

2 Possible Outcomes

Step-by-step explanation:

This is because you can only get the (x,y) coordinates.

Hello!

Answer:

There are only 2 outcomes

Step-by-step explanation:

This is because when solving a system of equations, your answer will be coordinates (For example>>(x,y)) so you will be getting two numbers, which means two outcomes.

Wish you luck!!

Answer:

A circle of radius = 7 or diameter = 14 or circumference = 43.98 kilometers has an area of: 153.9 square kilometers (km²) 1.539 × 10 8 square meters (m²)

Step-by-step explanation:

Answer:

angle relationship is co-interior

x = 3.94

Step-by-step explanation:

(34x - 1 ) + 45 = 180 [co-interior angles add up to 180 degrees]

34x - 1 = 135

34x = 134

x= 134/34 =3.94

Answer:

1

Step-by-step explanation:

-6 + 1 = -5

Answer:

$5.55

Step-by-step explanation: