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EastWind [94]
3 years ago
12

Julio’s rotation maps point K(–6, 9) to K’(9, 6). Which describes the rotation? A. 90 degrees clockwise rotation B. 180 degrees

rotation C. 90 degrees counterclockwise rotation D. 270 degrees clockwise rotation
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

The correct option is;

A. 90 degrees clockwise rotation

Step-by-step explanation:

From the given information, we have;

The coordinates of the pre-image is K(-6, 9)

The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)

The transformation from (x, y) to (y, -x) can be obtained from either;

1) A rotation of 90° (clock wise)

2) A rotation of 270° counter clockwise

Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.

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Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)
Pavlova-9 [17]

Answer:

1.

y=\frac{1}{4}x+2

m= \frac{1}{4}

b= 2

2.

y=-\frac{1}{3}x+1

m= -\frac{1}{3}

b= 1

3.

y=3x+4

m= 3

b=4

Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that y=\frac{1}{4}x+2

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that    y=-\frac{1}{3}x+1

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that  y=3x+4

3 0
2 years ago
:) The bus fare of 12 passengers is Rs 540. If the fare is increased by Rs 5 per
Mekhanik [1.2K]

Answer:

<h2>15 passengers </h2>

Step-by-step explanation:

Original price,

Fare for 12 passengers = Rs 540

Fare for 1 passenger = \frac{540}{12}  = 45

Increased price,

Fare for 1 passenger = 45 + 5 = Rs 50

Let fare for X passengers be 750

x \times 50 = 750

x =  \frac{750}{50}

x = 15

Hence, 15 passengers can travel for Rs 750.

Hope this helps...

Good luck on your assignment..

4 0
3 years ago
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