What are the new points after 270 degrees counterclockwise

Mathematics

1 answer:

vladimir2022 [97]2 years ago

6 0

So the rule with 270° counterclockwise rotation is the same as 90° clockwise rotation: <u>(x,y) → (y,-x)</u>

Now applying this rule to this coordinate,<u> (-5,1) would become (1,5).</u>

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natta225 [31]

Answer:

y = 14

Step-by-step explanation:

∠BCF and ∠EFH are same side interior angles and are supplementary, hence

5x - 66 +2x + 50 = 180

7x - 16 = 180 ( add 16 to both sides )

7x = 196 ( divide both sides by 7 )

x = 28

∠BCF = 5x - 66 = (5 × 28) - 66 = 140 - 66 = 74

∠ACD = ∠BCF ( vertical angles ), hence

9y - 52 = 74 ( add 52 to both sides )

9y = 126 ( divide both sides by 9 )

y = 14

6 0

2 years ago

Which describes the behavior of the function f(x)= tan^-1(x)?

Fantom [35]

Answer:

Third Option

Step-by-step explanation:

We know that the function $tan(x)$ is defined as $y=\frac{sin(x)}{cos(x)}$ . Since the denominator is $cos(x)$ then we know that $cos(x)=0$ when $x=\frac{\pi}{2}$

We also know that the division by 0 is not defined. Therefore, the limit of $y=tan(x)$ when "x" tends to $\frac{\pi}{2}$ is infinite.

The function $tan^{-1}(x)$ is the inverse of $tan(x)$

By definition, if we have a function f(x), its domain will be equal to the range of its inverse function $f^{-1}(x)$ . If $f(3)=8$ , then $f^{-1}(8)=3$