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2 years ago

Which of the following ordered pair could NOT be included in this set if it is a function?

Mathematics

2 answers:

anyanavicka [17]2 years ago

4 0

( 3,6) because the x coordinate(3) has already been used once

Rashid [163]2 years ago

3 0

Answer:

(3,6)

Step-by-step explanation:

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Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

2 years ago

The base of an isosceles triangle is one and a half times the length of the other two sides. A smaller triangle has a perimeter

stira [4]

Answer:

P = 1.5x.

Step-by-step explanation:

Let the length of each side of the first triangle be x, then

Perimeter of this triangle

= 2x + 1.5x

= 3.5x.

So perimeter of smaller triangle is:

P = 1/2 * 3.5x

P = 1,.5x.

5 0

2 years ago

What is the slope of this line?<br><br> Enter your answer in the box.<br><br> ____.

kati45 [8]

A line parallel to x-axis has 0 slope.

3 0

2 years ago

Read 2 more answers

PLEASE ANSWER THIS QUICK!!!!

Dovator [93]

Answer:

you need 5 buses and 4 will be totally full and one will only be 1/3 full

or you can have 14% of all 5 buses with empty seats

Step-by-step explanation:

6 0

2 years ago

Could someone answer this pls thank u

loris [4]

Given:

The area model.

The area of the shape is 82 square units.

To find:

The correct equation for the given situation.

Solution:

We know that, area of a rectangle is

$Area=Length \times Width$

The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is

$A_1=(x)\times (3x)=3x^2$

$A_2=(x)\times (4)=4x$

$A_3=(3)\times (3x)=9x$

Now, the total area is equation to 82 square units.

$A_1+A_2+A_3=82$

$3x^2+4x+9x=82$

$3x^2+13x=82$

Since the required equation is $3x^2+13x=82$ , therefore, the correct option is C.

7 0

2 years ago