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3 years ago

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Which table represents a linear function?

1 answer:

alexandr402 [8]3 years ago

7 0

Third table represents a linear function.

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Find what y equals please (geometry) :)

pychu [463]

Answer: y=31.97°

Explanation: We can use trig ratios to find y and they are SohCahToa.

We can use Sin y, because when y is the reference angle, the 9 cm side is the opposite and the 17cm is always the hypotenuse.

We must take the inverse of Sin (9/17) to get about 31.9657, which we can round to 31.97°.

4 0

3 years ago

Select the correct answer from each drop-down menu. Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to for

anygoal [31]

Answer:

i) A. 180º rotation about the origin, ii) $Q' = (4, 5)$ .

Step-by-step explanation:

i) In this case, we understand that vertex $P = (-5,-3)$ changed to $P' = (5,3)$ after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem:

Point P:

$OP = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}$

If we know that $x_{P} = -5$ , $y_{P} = -3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP$ is:

$OP = \sqrt{(-5-0)^{2}+(-3-0)^{2}}$

$OP \approx 5.831$

Point P':

$OP' = \sqrt{(x_{P'}-x_{O})^{2}+(y_{P'}-y_{O})^{2}}$

If we know that $x_{P'} = 5$ , $y_{P'} = 3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP'$ is:

$OP' = \sqrt{(5-0)^{2}+(3-0)^{2}}$

$OP' \approx 5.831$

As $OP = OP'$ , origin is the center of rotation.

Besides, $P'$ is a multiple of $P$ , that is:

1) $(-5, -3)$ Given

2) $((-1)\cdot 5, (-1)\cdot 3)$ $(-a)\cdot b = -a\cdot b$

3) $(-1)\cdot (5, 3)$ Scalar multiplication of a vector/Result.

The value of the scalar proves that P experimented a 180º rotation about the origin. Hence, the correct answer is A.

ii) If $Q = (-4, -5)$ and the same operation described in item i) is used, then, the location of $Q'$ is:

$Q' = (-1)\cdot Q$

$Q' = (-1) \cdot (-4,-5)$

$Q' = ((-1)\cdot (-4), (-1)\cdot (-5))$

$Q' = (4, 5)$

Which corresponds to option C.

7 0

3 years ago

Determine the length of the hypotenuse of a right triangle that has legs that measure 28 feet and 45 feet

julsineya [31]

Answer:

hypotenuse = sqRoot (28^2 + 45^2) = sqRoot (2809) = 53 feet

Step-by-step explanation:

6 0

3 years ago

Kendall's sister is 156 months old. Kendall is 3 years older than her sister. How many years old is Kendall?

Lena [83]

Kendall is 16 you do 156/12 and you get 13 then add 3 and you get 16

4 0

4 years ago

Read 2 more answers

Find a power series representation for the function. (Give your power series representation centered at x = 0.)

Valentin [98]

Answer:

attached below

Step-by-step explanation:

The Function; F(x) = x^2 / (x^4 + 81 )

power series representation

F(x) = x^2 / ( 81 + x^4 )

= ( x^2/81 ) / 1 - ( -x^4/81 )

attached below is the remaining part of solution

6 0

3 years ago