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3 years ago

Is Y=5x -9 a direct variation?

Mathematics

1 answer:

user100 [1]3 years ago

3 0

Answer:

1 Answer. No, it is Partial Variation.

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Factor 18x+6y using gcf

Andrew [12]

Group and factor out the greatest common factor then combine. 6(3x+y)

5 0

3 years ago

Write a sequence of transformation that maps quadrilateral ABCD onto quadrilateral A. B. C. D IN THE PICTURE

Mice21 [21]

Answer:

The sequence of transformation is reflected across the y-axis and translated 2 units down

Step-by-step explanation:

Lets revise some transformation

- If point (x , y) reflected across the x-axis

∴ Its image is (x , -y)

- If point (x , y) reflected across the y-axis

∴ Its image is (-x , y)

- If point (x , y) translate h units to the right

∴ Its image is (x + h , y)

- If point (x , y) translate h units to the left

∴ Its image is (x - h , y)

- If point (x , y) translate k units up

∴ Its image is (x , y + k)

- If point (x , y) translate k units down

∴ Its image is (x , y - k)

* Now lets solve the problem

∵ The vertices of figure ABCD are:

A (-1 , 3) , B (1 , 0) , C (2 , 3) , D (1 , 4)

∵ The vertices of figure A"B"C"D" are:

A" (1 , 1) , B" (-1 , -2) , C" (-2 , 1) , D" (-1 , 2)

* Lets compare between ABCD and A"B"C"D"

∵ All x-coordinates has opposite signs

-1 ⇒ 1 , 1 ⇒ -1 , 2 ⇒ -2 , 1 ⇒ -1

∴ The ABCD is reflected across the y-axis

∵ All y-coordinates subtracted by 2

3 ⇒ 1 , 0 ⇒ -2 , 3 ⇒ 1 , 4 ⇒ 2

∴ The ABCD is translated 2 units down

* The sequence of transformation is reflected across the y-axis

and translated 2 units down

5 0

3 years ago

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle

zaharov [31]

Answer:

a) Not parallel to y-axis

b) Not parallel to y-axis

c) Parallel to y-axis

Step-by-step explanation:

The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.

The equation of line: $(y-y_1) = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)$

a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.

It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and ( $\frac{9}{2}$ ,12).

b) The line joining the points $(\frac{3}{5}, \frac{13}{5}), (\frac{1}{5} ,\frac{8}{5})$ is not parallel to y-axis.

Equation of line: $5y - 7.5x = 5.5$

Another points that could be lie on this line are (0.6,2) and (0.25,1.475)

c) The line joining the points $(0.8, 1.9), (0.8,2.3)$ is parallel to y-axis because points have the same x-coordinate.

Another points that could be lie on this line are (0.8,2) and (0.8,2.1)

5 0

3 years ago

Name a combination of coins that is 65% of the value of a dollar. (SHOW LIst of combination<br>

svet-max [94.6K]

We need a combination of coins that equal 65 cents.

The easiest one is 13 nickels.

Another combination is 6 dimes and 1 nickel.

A third is 2 quarters, 1 dime, and 1 nickel.

The list goes on.

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hope it helps

4 0

3 years ago

Two squares have areas of 4 cm?

timofeeve [1]

Answer:

1/2

Step-by-step explanation:

First square area = 4cm^2, thus the side length is 2cm

Second square area = 16cm^2, thus the side length is 4cm

This gives a ratio of 2/4, simplifying yields 1/2

3 0

2 years ago