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4 years ago

Find three right triangles based upon the Pythagorean Triple of 8, 15, and 17. Explain how you know these are triangles.

1 answer:

7 0

A^2 + b^2 = c^2
8^2 + 15^2 = 17^2
64 + 225 = 289
289=289
It is a triangle because the numbers match the Pythagorean Theorem.

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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0

4 years ago

How do I solve this problem -2x+9y=15 x+7=4

Olegator [25]

Answer:

x= -3 and y =1

4 0

3 years ago

If there are 3 line, the 1st and 2nd line are parallel to each other, the third line are parallel to the 2nd line, does that mea

Semenov [28]

Yes! Just like if I told you three shapes, and that one and two are circles, and then I told you the third was the same as the second, they would all be circles!

6 0

2 years ago

James and sarah went out to lunch the price of lunch for both of them was $20 they tip their server 20% of that amount how much

sleet_krkn [62]

20% of $20 is $4
So add that amount to the price of the meal and you have $24
Since they split the total cost evenly, the price for each is 24 ÷ 2
= $12

6 0

3 years ago

What is the equation

slava [35]

Answer:

B. $(x+1)^2+(y-2)^2=9$