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2 years ago

Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E

Mathematics

1 answer:

zalisa [80]2 years ago

3 0

Answer:

Reflected across x-axis followed by a dilation with a scale factor of 2 about the origin.

Step-by-step explanation:

It's clear from the graph,

Polygon ABCDE is reflected across x-axis then dilated so that it overlaps polygon A'B'C'D'E'

Let's choose a point A having coordinates (-2, -1)

By reflecting point A across x-axis,

Rule to be followed for the reflection,

(x, y) → (x, -y)

By this rule, coordinates of the image point A will be,

A(-2, -1) → A"(-2, 1)

Now point A"(-2, 1) has been dilated by a scale factor = k to form an image points A'(-4, 2).

Rule for the dilation of a point about the origin is,

A"(x, y) → A'(kx, ky)

A"(-2, 1) → A'(-2k, k)

Since, coordinates of point A' are (-4, -2),

Therefore, -2k = -4

k = 2

Hence, polygon ABCDE was reflected across x-axis followed by a dilation with a scale factor of 2 about the origin to form polygon A'B'C'D'E'.

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Construct an equation that has n = 6 as its solution. Use n on both sides of the equation.

nevsk [136]

Answer:

See Explanation

Step-by-step explanation:

Required

Determine any equation where n = 6

$n = 6$

Add n to both sides

$n + n = 6 + n$

$2n = 6 + n$ ----- This is 1 equation

$n = 6$

Multiply both sides by n

$n * n = 6 * n$

$n^2 = 6n$ ----- This is another

$n = 6$

Add 5n to both sides

$n + 5n = 6 + 5n$

$6n = 6 + 5n$ ---- This is another

Subtract 10 from both sides

$6n - 10 = 6 - 10 + 5n$

$6n - 10 = -4 + 5n$

$6n - 10 = 5n - 4$ --- This is another

You can have as many equations as possible

4 0

2 years ago

4 questions last ones thxxx

iren [92.7K]

Answer:

(For the first two questions I do believe that you will need a protractor to calculate the angles.)

15) $-(\frac{7\pi }{18} )\\$ measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)

The first image attached shows where the angle should be located.

16) $\frac{\pi }{3}$ is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))

17) 350° is $\frac{35\pi }{18}$ or 6.11 (the answer depends on the format the professor wants.)

18) 240° is $-(\frac{4\pi }{3})$ radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)

6 0

2 years ago

Talia sells educational software for a yearly salary of $65,000 plus a 2.65% commission on her total sales. If Talia sells $2.5

Bad White [126]

Answer:

$131250

Step-by-step explanation:

Talia's earnings during one year are equal to her base yearly salary ($65000) added to her commission. Now, to know the commission it is necessary to find the 2.65% of her total sales ($2.5 million)

Step 1. Divide the total sales or 2,500,000 by 100 considering this represents the total or 100%

2,500,000 ÷ 100 = 25000

Step 2. Multiply this number by the specific percentage (2.65)

25000 x 2.65 = 66250

Now add the commission and the yearly salary

65000 + 66250 = 131250

Hence, total earnings of Talia were $131250

4 0

2 years ago

ASAP!! I need help. -w-Which answer choice shows 5 +0.9 + 0.06 written in standard form?

miss Akunina [59]

The answer is c . 5.96

7 0

3 years ago

Read 2 more answers

HELPPPPPP ); WILL GIVE BRAINLIST.

Black_prince [1.1K]

<h3>Answer:</h3>

f(1) = 2
No. The remainder was not 0.

<h3>Explanation:</h3>

Synthetic division is quick and not difficult to learn. The number in the upper left box is the value of x you're evaluating the function for (1). The remaining numbers across the top are the coefficients of the polynomial in decreasing order by power (the way they are written in standard form). The number at lower left is the same as the number immediately above it—the leading coefficient of the polynomial.

Each number in the middle row is the product of the x-value (the number at upper left) and the number in the bottom row just to its left. The number in the bottom row is the sum of the two numbers above it.

So, the number below -4 is the product of x (1) and 1 (the leading coefficient). That 1 is added to -4 to give -3 on the bottom row. Then that is multiplied by 1 (x, at upper left) and written in the next column of the middle row. This proceeds until you run out of numbers.

The last number, at lower right, is the "remainder", also the value of f(x). Here, it is 2 (not 0) for x=1, so f(1) = 2.

5 0

3 years ago