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3 years ago

Which shows the image of rectangle ABCD after the rotation () (W)? 13 VA 1 V

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

Graph (1)

Step-by-step explanation:

Given rule for the rotation of a figure is,

A(x, y) → A'(-y, x)

This rule defines the rotation of point A by 90° counterclockwise about the origin.

Coordinates of point A → (-2, 0)

Coordinates of point C → (-1, 0)

Following the rule of rotation,

A(x, y) → A'(-y, x)

A(-2, 0) → A'(0, -2)

C(-1, 4) → C'(-4, -1)

Now search the image points from the graphs attached,

Graph (1) will be the answer.

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Brooke is located 5 miles out at sea from a straight shoreline in her kayak. She wants to make it to the taco truck on the beach

jenyasd209 [6]

Answer:

x = 1,2909 ml (point where Brooke beaches her kayack)

Step-by-step explanation:

I did not find the indicated picture. I design one (See picture in Annex)

The route to follow by Brooke is x₁ + x₂ and as we need to express total time.

s (distance) = velocity* time then time t = distance / velocity

x₁ = √ (5)² + x² ⇒ x₁ = √( 25 + x² )

and x₂ = ( 6 - x )

x₁ = distance in kayack ( speed 2 ml/h)

x₂ = distance walking ( speed 4 ml/h)

Then total time as a function of x is

t(x) = √( 25 + x² ) / 2 + ( 6 - x ) / 4

Taking derivatives on both sides of the equation we get

t´(x) = 2x* (2) / 4 *√( 25 + x² ) - 1/4

t´(x) = 0 2x* (2) / 4 *√( 25 + x² ) - 1/4 = 0 x/√( 25 + x² ) - 1/4 = 0

x/√( 25 + x² ) = 1/4

x = √( 25 + x² ) /4

x² = (25 + x² ) /16

16*x² = 25 + x²

15x² = 25 x = 1,2909 ml (point where Brooke beaches her kayack)

Then walking distance is x₂ = 6 - 1.2909 x₂ = 4.71 ml

5 0

4 years ago

Put the following equation of a line into slope-intercept form, simplifying all

kolbaska11 [484]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

To put this into slope-intercept form, you need to isolate/get the variable "y" by itself in the equation:

8x - 6y = 6 Subtract 8x on both sides

8x - 8x - 6y = 6 - 8x

-6y = -8x + 6 Divide -6 on both sides to get "y" by itself

$\frac{-6y}{-6} =\frac{-8x+6}{-6}$

$y=\frac{-8}{-6} x+\frac{6}{-6}$

$y=\frac{4}{3}x -1$

3 0

3 years ago

Read 2 more answers

The table below shows the Emfuleni Local Municipality domestic electricity tariffs during a low

Otrada [13]

Answer:

Step-by-step explanation:

4 0

3 years ago

Determine if the table shows a proportional relationship.

swat32

The ratios of y over x are all equal to 1/3, thus we may infer that: B. the table is proportionate.

What is a Proportional Relationship?

Any pair of values in a table that depicts a proportionate relationship have the same value for the proportionality constant, k, where k = y/x.

Check each pair of values in the table to see if k is the same:

(36.75, 12.25):

k = 12.25/36.75 = 0.33

(16.8, 5.6):

k = 5.6/16.8 = 0.33

(77.1, 25.7):

k = 25.7/77.1 = 0.33

It is proportionate because the ratios of y across x are all equal to 1/3, which implies that the value of k is identical for all values.

Learn more about proportional relationship visit:

brainly.com/question/15618632

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7 0

2 years ago

What property is 7+(4+6)=7+n

Ket [755]

This looks like "half" a property. I'm assuming you mean something that looks like this:

IF a + b = a + c, THEN b = c. In the expression in your problem, the role of a is being played by 7. The role of b is played by (4 + 6), and the role of c is played by n.

The conclusion would be that 4 + 6 = n.

But you asked about what the property is called. The likely name is the subtraction property of equality. How did we go from a + b = a + c to the conclusion b = c? We subtracted a from both sides of the equation.

7 0

3 years ago