At 351 feet tall, the Jefferson Davis Monument in Fairview, Kentucky, is the largest concrete obelisk in the world. Pedro is looking at the top of the monument at an angle of 75 degrees. How far away from the monument is he standing?

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

Answer:

Nothing is here. You may need to reupload question.

Answer:

stocks, bonds, mutual funds, and collectables

Step-by-step explanation:

Answer:

School begins at 8:45

Step-by-step explanation:

take 5 away from 50 and get 45

take 6 away from 2 on a clock is 8

Answer:

10 2/4

Step-by-step explanation:

Answer:

look at the picture i sent

Answer: Pythagorean theroem

Step-by-step explanation:

The easiest method to use in terms of a missing side as long as you know at least two other variables whether its another side or angle

Answer:

42 < x less than or equal to 57

Step-by-step explanation:

The inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations

Now it is given that,

Lower limit of height must be greater than 42 inches

Upper limit  of height must be less than 57 inches

If h is the height used for model.

Thus, h < 57 inches

and, h > 42 inches

Therefore the inequality model will be,

57 > h > 42

Thus, the inequality that would model the height, x, required for this amusement park ride is 57 > h > 42.

To learn more about inequality :

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Answer:

No, each folder costs 50 cents.

Step-by-step explanation:

0.50*100= 50

Answer:

24/60 or 0.4

Step-by-step explanation:

3/4×2/5=6/20

4/3×6/20=24/60

24/60

Answer:

y = 12

Step-by-step explanation:

y = kx

-4 = k * 2

k = -4/2 = -2

y = -2x

y = -2 * (-6)

y = 12

Answer:

not sure but 4 quarts i think

Answer:

4 quarts is greater because it is equal to 16 cups

Answer:

4955

Step-by-step explanation:

soccer jerseys--> 12

total--> R 59460

= 59460 divided by 12

= 4955

Ans: Each jersey costs R 4955.

thenks and mark me brainliestt pls :))

Let's find the slope of the line passing through it :

[tex] \boxed{ slope = \frac{y_2-y_1}{ x_2- x_1} }[/tex]

Now, we know, equation of a line is :

[tex]\longrightarrow y = mx + b[/tex]

where,

Therefore,

[tex]\longrightarrow \: y = \dfrac{1}{5} x + b[/tex]

let's put the value of x and y from the first coordinates .

Hence, we got the equation of line as :

or

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

85°

Step-by-step explanation:

90° - 5° = 85°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

There needs to be a (.) or an (;)

Step-by-step explanation:

The no. of unique card combinations we can create is 59280

What is permutation and combination?

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented.

There are 52 cards in a deck in which, there are 12 face cards and 40 numbered cards.

So, by using fundamental principle of counting=40x39x38                                                      =59280

Therefore, the no. of unique card combinations we can create is 59280

Learn more about Permutation and combination,

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Answer:

80 ft

Step-by-step explanation:

the length of an arc is equal to the degree the arc makes

Answer:

Step-by-step explanation:

Arc length is:

Correct choice is A

Answer:

$350

Step-by-step explanation:

[tex]\frac{250}{y} :\frac{5}{7}[/tex]

y · 5 = 250 · 7

5y = 1750

5y ÷ 5 = 1750 ÷ 5

y = 350

Answer:

$350

Step-by-step explanation:

5 is to 250 as 7 is to 'x'

5/250 = 7/x

cross-multiply:

5x = 1750

x = 350

Answer:

y = -14

Step-by-step explanation:

6 + y = -8

Subtract 6 from both sides to get y by itself.

y = -14.

Proof:

6 + y = -8

Substitute the variable.

6 + (-14) = -8

Add the negative/Subtract.

-8 = -8.

Answer:

y=−14

Step-by-step explanation:

Let's solve your equation step-by-step.

6+y=−8

Step 1: Simplify both sides of the equation.

y+6=−8

Step 2: Subtract 6 from both sides.

y+6−6=−8−6

y=−14

Answer:

Point A(9, 3)

General Formulas and Concepts:

Pre-Algebra  

Order of Operations: BPEMDAS  

Equality Properties  

Algebra I  

Calculus  

Derivatives  

Derivative Notation  

Derivative of a constant is 0  

Basic Power Rule:  

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sqrt{x}[/tex]

[tex]\displaystyle y' = \frac{1}{6}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates of A.

x-coordinate

y-coordinate

∴ Coordinates of A is (9, 3).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

D.36cm

Step-by-step explanation:

If the top rectangle have 6 cm, it means 6×16=108 ft

If the two rectangles are the same, it means that the bottom rectangle have also 108 ft, so:

108÷3= 36 cm

Answer:

10

I took the quiz ;)

Answer:

10

Step-by-step explanation:

First we need to find A and B

A(-7;-6)

B(1;0)

Question 14

You can check using the distributive and commutative properties that all of these are equivalent to 6x+3.

Question 15

(7+5)p - p = 12p - p = 11p

Question 16

7 + 5(p-p) = 7 + 5(0) = 7

Question 17

No parentheses are needed.

Answer:

PART A

PART B

total cost =12.325+8.24

hope it helps

Answer:

Part A: $12.325

Part B: $20.565

Step-by-step explanation:

PART A:

To find the answer, we multiply 2.9 and 4.25 together: 2.9 * 4.25 = 12.325

The cost of 2.9 pounds of dark chocolate is $12.325

PART B:

To find the answer, we multiply 1.6 and 5.15 together: 1.6 * 5.15 = 8.24

After that, to find the cost of the dark and milk chocolate together, we add up the two answers: 12.325 + 8.24 = 20.565

The total cost of the milk and dark chocolate is $20.565

Note: You might need to round it up. In this case, Part A is $12.33 and Part B is $20.57

Answer:

Company A:

Company B:

Company C:

Least cost         |        Medium cost     |     Greatest cost

Company A       |          Company C     |      Company B

Answer:

C 50 mi

Step-by-step explanation:

You have to use the Pythagorean theorem:

14²+48²

196 + 2304

2500

Now you make the square root of 2500 and found the result: 50 mi

Answer:

4

Step-by-step explanation:

The greatest common factor of [tex]4d+12e[/tex] is [tex]4[/tex].

[tex]4(d+3e)[/tex]