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3 years ago

Rearrange to make x the subject

Mathematics

1 answer:

mario62 [17]3 years ago

3 0

Step-by-step explanation:

<h3>Given equation : </h3>

<h3>for subject x</h3>

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Graph and label the image of the figure below after a dilation by a factor of 1/2.

neonofarm [45]

Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

$\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\ \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\ \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}$ $\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\ \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}$

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0

1 year ago

Solve and recieve brain list

Mashutka [201]

Answer:

-x -7y=-15

y=3x-1

-x-7(3x-1)=-15

-x-21x+7=-15

-22x+7=-15

-22x=-15-7

-22x=-22

x=-22/-22

x=1

y=3x-1

y=3(1)-1

y=3-1

y=2

(1, 2)

4 0

3 years ago

You buy a bunch of snacks from the grocery story that cost $9.50. You also have a 10% off your total purchase coupon. The tax ra

Bond [772]

Answer:

889 or 900

Step-by-step explanation:

I found 4 percent of 9.50 and added it, then found 10 percent and added it.

4 0

3 years ago

4. Find the time duration for the following in your notebook: (a) 1:20 a.m. to 8.05 a.m. (b) 3:50 p.m. to 6:25 p.m. (C) 11.40 a.

padilas [110]

(a) 6 hours and 45 minutes

(b) 2 hours and 35 minutes

(d) 3 hours and 20 minutes

4 0

2 years ago

Standard deviation of a normal data distribution is a _______. Group of answer choices

FrozenT [24]

Answer:

Standard deviation of a normal data distribution is a measure of data dispersion.

Step-by-step explanation:

Standard deviation is used to measure dispersion which is present around the mean data.

The value of standard deviation will never be negative.

The greater the spread, the greater the standard deviation.

Steps-

1. At first, the mean value should be discovered.

2.Then find out the square of it's distance to mean value.

3.Then total the values

4.Then divide the number of data point.

5.the square root have to be taken.

Formula-

SD= $\sqrt{\frac{(\sum{x-x)^2} }{n-1}$

Advantage-

It is used to measure dispersion when mean is used as measure of central tendency.

5 0

3 years ago