How would this look in standard notation??

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Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.

As per the given,

cos(2x)/ [cos(x)-sin(x)]

Since, cosx = cos²x - sin²x

cos(2x)/ [cos(x)-sin(x)]  = (cos²x - sin²x)/[cos(x)-sin(x)]

Since, A² - B² = (A + B)(A - B)

(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]

⇒cos(x) + sin(x)

Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".

For more information about the trigonometric function,

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Answer:

The second option is correct.

Step-by-step explanation:

This is because when multiplied, they all equal the same number.

3*6 = 18

6*3 = 18

9*2 = 18

18*1 = 18

Answer:

y = 3/2  when x = 15

Step-by-step explanation:

y = k / √1+x  

2 = k / √1+8 = k/3  

k = 6  

y' = 6 / √1+15 = 6/4 = 3/2

Answer:

116

Step-by-step explanation:

180-28=152

152-36=116

Answer:

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Answer:

D

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{f}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

f = 24

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Using the cosine ratio and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{e}{f}[/tex] = [tex]\frac{e}{24}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2e = 24[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

e = 12[tex]\sqrt{3}[/tex]

Answer:

F=24 and e=12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given:

The first four terms of a sequence are:

8, 5, 2, -1

To find:

The function that defines the given sequence.

Solution:

We have,

8, 5, 2, -1

The differences between two consecutive terms are:

[tex]5-8=-3[/tex]

[tex]2-5=-3[/tex]

[tex]-1-2=-3[/tex]

The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.

The nth terms of an arithmetic sequence is:

[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=8,d=-3[/tex], we get

[tex]f(n)=8+(n-1)(-3)[/tex]

[tex]f(n)=8-3(n-1)[/tex]

[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]

Therefore, the correct option is A.

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

Answer:its SU

Step-by-step explanation:

ITS THE ONLY CORRECT ANSWER YALL

Answer:

40

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

So what is slope?

Slope is the change in y over the change in x.

You find the change in y and x when you compare two points on the line.

In this case, lets chose the two points they give us:

(1, -4) and (6, 1)

What is the difference of y? That looks like 5(1+4) or (1--4).

What is the difference of x? That looks like 5(6-1=5)

So we can tell the slope is y/x, or 5/5.

This can simpfly to 1.

So 1 is your slope!

Question:

What’s the volume ?

Answer:

Volume: 8663.2

Area : 392

Step-by-step explanation:

The formula for volume is length times width times height (L x W x H)

So

28 x 28 = 784 x 22.1 = 17326.4 (Crazy right) But this is not the answer. A triangle is half of a Square so we divde by 2

17326.4 / 2 = 8663.2

The Volume is 8663.2

And if you are looking for the Area it's 392

Answer:

10214.51

Step-by-step explanation:

5900 * (1+ (0.05/12))^(12*11)

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Answer:

10214.51

Step-by-step explanation:

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

Answer:

a)

b)

Answer:

a) 677,040 b) 17,160

Step-by-step explanation:

a) this is a combinations problem as it deals with selection, rather than order. you can use a calculator to solve this:

there are 65 objects (colors) taken 4 at a time

(see photo)

there are 677,040 possible ways to arrange the boxes.

b) unlike question a, this is a permutation. the order matters.

since Ali can only visit the cities once, you must multiply by decreasing values starting from 13 down to 10 (4 "slots" for the 4 days)

13*12*11*10 = 17,160 possiblities

Answer:

x = 8

Step-by-step explanation:

x-7=1

Add 7 to each side

x-7+7 = 1+7

x = 8

Answer:

x= 8

Step-by-step explanation:

collect like terms

x= 7+1

x= 8

Answer:

D

Step-by-step explanation:

2f(x+1)-0 = 2f(x+1). The lowest point of the function is (1, 0), which matches up with the equation. No other equation has this coordinate as the lowest point, therefore it can only be D

Answer:

D seems most credible .

Hopefully this helped

Answer:

x = 0   or   x = - 16

Step-by-step explanation:

16+x^2=0

x ( x + 16 ) = 0

using the algebra rule a . b = a = 0 and b = 0

x = 0    or   x = - 16

so the answer is  x = 0 and x = -1 6

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[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The sand we need to fill the cylinders is equal to the total volume of the six cylindrical posts .

Given terms ( common for each cylinder ) :

[tex] \large \boxed{ \mathrm{volume =\pi {r}^{2} h}}[/tex]

Since volume of each cylinder is equal, so total volume of six cylindrical post :

_____________________________

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

Answer:

Square root of 3 upon 5:

√3÷5

= 0.3464101615137

≈ 0.35 (corrected to 2 decimal places)

ANSWER FOR UR QUESTION!

Graph

Find f(f(x))

Describe the Transformation

Find the Domain of the Composition f(f(x))

Solve for x

Solve the System of Equations

Find the Area Between the Curves

Solve by Graphing

Answer:

The length of the hypotenuse is the square root of 169, which in turn is 13.

Step-by-step explanation:

Here we have a right triangle with leg lengths 12 m and 5 m.  Because this is a right triangle, we can apply the Pythagorean Theorem to find the length of the hypotenuse.

The Theorem states that a^2 + b^2 = c^2.  In this particular case,

(12 m)^2 + (5 m)^2 = c^2

which in turn becomes:

144 + 25 = 169.  The length of the hypotenuse is the square root of 169, which in turn is 13.

Answer:

y = -2x + 7

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 7 / 1 - 0

-2 / 1

= -2

y = -2x + b

5 = -2(1) + b

5 = -2 + b

7 = b

Answer:

x^2-11x=-24

Step-by-step explanation: