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Marta_Voda [28]
3 years ago
11

The vertices of / are G(–4, 0), H(5, 2), and I(–2, –3). / is rotated 270° counterclockwise about the origin to form /. What are

the coordinates of the vertices of /? A. G’(–4, 0), H’(5, 2), I’(–2, –3) B. G’(0, 4), H’(–2, –5), I’(3, 2) C. G’(0, 4), H’(2, –5), I’(–3, 2) D. G’(4, 0), H’(–5, 2), I’(2, –3)
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0
The awnser would be C
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What are the zeros of the polynomial function?
Genrish500 [490]

Hello from MrBillDoesMath!

Answer:

x = 2 and 10


Discussion:

Approach 1:

20 = (-10)*(-2) and  (-10) + (-2) = -12 the coefficients of the polynomial. Hence

x^2 -12x + 20 = ( x- 2) * ( x-10)


Approach 2:

From the quadratic formula ( a = 1, b = -12, c = 20)

x =    (  -(-12) +\- sqrt( ((-12)^2 - 4*1*20) )  /  (2 * 1)

   =    ( 12 +\- sqrt( 144-80)  ) /2

  =   (12 +\-  sqrt(64) ) /2

  =  (12 +\- 8 ) /2


x  = ( 12 + 8) /2 = 20/2 = 10

or

x = ( 12 - 8)/ 2 = 4/2 = 2



Thank you,

MrB

5 0
3 years ago
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What is the absolute deviation and range of the data set 134 139 145 152 174
malfutka [58]
The answer or range would be 40
6 0
2 years ago
What is the dividend yield on Stock A that sells at
stira [4]

Answer:

  5.3%

Step-by-step explanation:

The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:

  yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%

The dividend yield is 5.3%.

6 0
2 years ago
Mark's school trail is 1,425 km long. Mark needs 2850 steps for this. How many centimeters is his step long? ​
kolezko [41]

Answer:

50 cm

Step-by-step explanation:

Convert 1.425km into cm

1.425 * 1000 * 100 = 142500 cm

Divide the total cm by total no of steps

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5 0
2 years ago
Explain why sin^-1(sin(3pi/4))does not equal 3pi/4 when y=sin x and y=sin^-1 x are inverses.
Fofino [41]

Because they're not inverses, not exactly. \sin x is not invertible on its entire domain because it's not one-to-one. There are infinitely many values of x such that \sin x=0, for example.

The standard function \sin^{-1}x has a domain of -1\le x\le1 and outputs values between -\dfrac\pi2 and \dfrac\pi2. This means that its inverse, \sin x, is indeed its inverse as long as -\dfrac\pi2\le x\le\dfrac\pi2.

\dfrac{3\pi}4 is larger than \dfrac\pi2 and thus does not fall in the "invertible part" of the domain of \sin x. We have

\sin\dfrac{3\pi}4=\dfrac1{\sqrt2}

which is a value between -1 and 1, so that

\sin^{-1}\left(\sin\dfrac{3\pi}4\right)=\sin^{-1}\left(\dfrac1{\sqrt2}\right)=\dfrac\pi4

If we wanted to recover \dfrac{3\pi}4, we'd have to redefine \sin^{-1}x or define a new inverse function that works on a different branch of the domain of \sin x.

7 0
3 years ago
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