Name the Reflection Rule that results in the following transformation

A(1,4), B(2, 7), C(9, 3) to

A'(1,-4), B'(2, -7), C'(9, -3)

Answer:

Step-by-step explanation:

Step-by-step explanation:

2x + 8y = 12 ......... Equation 1

x - 2y = 0 .............. Equation 2

Make x the subject in equation 2 and substitute it into equation 1

That's

x = 2y

We have

2(2y) + 8y = 12

4y + 8y = 12

12y = 12

Divide both sides by 12

y = 1

Substitute y = 1 into x = 2y

That's

x = 2(1)

x = 2

The answers are

x + y = 7......... Equation 1

2x + y = 5 ......... Equation 2

Make y the subject in equation 1 and substitute it into equation 2

We have

y = x - 7

2x + x - 7 = 5

3x = 7 + 5

3x = 12

Divide both sides by 3

x = 4

Substitute x = 4 into y = x - 7

y = 4 - 7

y = - 3

We have the answers as

y = -1/2 + 1 ......... Equation 1

2x + 3y = 6 ........ Equation 2

From equation 1

y = 1/2

Substitute y = 1/2 into Equation 2

So we have

2x + 3(1/2) = 6

2x + 3/2 = 6

2x = 6 - 3/2

2x = 9/2

Divide both sides by 2

x = 9/4

The answers are

2x - 1/3y = - 9.......... Equation 1

-3x + y = 15 ........... Equation 2

Make y the subject in equation 2 and substitute it into equation 1

That's

y = 15 + 3x

2x - 1/3( 15 + 3x) = - 9

2x - 5 - x = - 9

x = - 9 + 5

x = - 4

Substitute x = - 4 into y = 15 + 3x

That's

y = 15 + 3(-4)

y = 15 - 12

y = 3

The answers are

Hope this helps you

Answer:

The name of the function is linear function.

Step-by-step explanation:

A linear function is the function representing a straight line.

A linear function is used to define the relationship between a dependent variable and independent variable.

The general form of a linear function is:

y = m·x + c

Here,

y = dependent variable

x = independent variable

m = slope

c = intercept

The function provided is:

f (x) = 4·x - 2

The above function is similar to the linear function's general form.

The slope of the provided function is 4 and the intercept is -2.

Thus, the name of the function is linear function.

Answer:

1

Step-by-step explanation:

The coefficient is the number in front of the variable.  Since there is not a number written, there is an implied 1

x+4

1x+4

The coefficient is 1

Answer:

3x + 8

Step-by-step explanation:

Since, WY bisects UV at Y.

Therefore,

UV = UY + YV

UV = 2x + 1 + x + 7

UV = 2x + x + 1 + 7

UV = 3x + 8

The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8

To bisect a given line means to divide the line into two equal parts.

If WY bisects UV at Y, then:

UY + YV = UV and UY  = YV

Given the following parameters:

UY = 2x +1

YV = x+7

Required

UV

Substitute the given parameters into the formula shown above:

2x + 1 + x + 7 = UV

Collect the like terms

2x + x + 1 + 7  UV

3x + 8 = UV

Swap

UV = 3x + 8

Hence the measure of length UV is 3x + 8

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Answer:

A is incorrect

Step-by-step explanation:

when you see -(- it makes the thing plus sign/positive

Answer:

85.24 grams

Step-by-step explanation:

28.2 + 57.04 = 85.24

Answer:

(5 x + 4) (x - 1)

Step-by-step explanation:

Factor the following:

x (5 x + 4) - (5 x + 4)

Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).

Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):

Answer: (5 x + 4) (x - 1)

Answer:

[tex]4[/tex]

Step-by-step explanation:

[tex] \frac{j}{k} - 0.2k = \frac{25}{5} - 0.2(5) = 5 - 1 = 4[/tex]

Answer:

Just do what you did in school

Step-by-step explanation:

Like example you did algebra exercise 1 2 and 3

do the same at home by yourself

Answer:

soln

18x-3=12

18x=15

so,x=5/6

Answer:

16√3

Step-by-step explanation:

(4√6)(2√2)

4*2√6*2

8√12=8√4*3=8*2√3

16√3

[tex]8f+7-2f=16\\6f=16-7\\6f=9\\f=\frac{9}{6}[/tex]

We know f, now we want the 12f+1

Therefore, Substitute f = 9/6 in 12f+1

[tex]12(\frac{9}{6})+1\\ = 2*9+1\\=18+1\\=19[/tex]

If you are wondering where 2*9 comes from, it comes from the 12(9/6) and 12 is divided by 6 then we get 2 and multiply the 9 as we get 2*9.

Answer:

31, 65, 146

Step-by-step explanation:

math

Answer:

5 feet 1 inches

Step-by-step explanation:

if 1 foot is 12 inches.

Then, 60 ÷ 12

= 5

So, 61 inches tall = 5 feet 1 inches.

The answer is 5 feet 1 inches.

The Height of Alex in feet is 5.0833 feet.

To convert inches to feet, we divide the number of inches by 12 since there are 12 inches in 1 foot.

Let's denote the height of Alex in inches as H in and her height in feet as H ft.

H in = 61 inches

H ft = ?

The equation to convert inches to feet is:

H ft = H_ in / 12

Substituting the value of H in into the equation, we have:

H = 61/12

H ft ≈ 5.0833 feet

Therefore, Alex's height is 5.0833 feet.

Learn more about Unit Conversion here:

https://brainly.com/question/28600662

#SPJ6

Answer:

it makes the goals easier to reach

Step-by-step explanation:

you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.

5 benefits of breaking down ones periodic savings have been listed below.

Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.

Now, budgeting is very important because it helps to do the following;

- Helps to ensure you spend money appropriately on things that you really need and not just wants.

- Helps you to effectively monitor your spending habits/patterns.

- Helps you to meet your financial goals.

- Helps you to make good decisions on things that involve finance.

- Helps you to monitor your progress in savings or interest as the case may be.

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Answer:

14-9 would be 5.

Answer:

[tex]\bold{2\cdot10^9}[/tex]

Step-by-step explanation:

The given expression s are:

[tex]8 \cdot 10^4[/tex] and

[tex]4\cdot10^{-5}[/tex]

To find:

[tex]8 \cdot 10^4[/tex] is how many times  as large as [tex]4\cdot10^{-5}[/tex].

Solution:

Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].

So, we can say that:

[tex]8 \cdot 10^4[/tex]  = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]

OR

[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]

Let us have a look at the formula for exponents:

[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]

Here we have:

[tex]x=10\\p=4\ and\\q=-5[/tex]

Solving the expression using above formula:

[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]

So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]

Answer: 5 is your answer!

Step-by-step explanation:

Answer:

y < -1/4 x +1

Step-by-step explanation:

Find two points on the dotted line

( 0,1) and  (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (0-1)/(4-0)

    = -1/4

The slope is -1/4

The y intercept is where it crosses the y axis  or 1

The equation of the line, using slope intercept form

y = mx+b

y = -1/4x +1

The line is dotted which means there is no equals, just greater than or less than.  It is shaded below which means less than

y < -1/4 x +1

Answer:

[tex]y<-\frac{1}{4}x+1[/tex]

Step-by-step explanation:

First, let's find the equation of the line.

From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).

Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂

Find the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]

Use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We already know the slope is -1/4 and the y-intercept is 1. So, substitute:

[tex]y=-\frac{1}{4}x+1[/tex]

Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:

[tex]y<-\frac{1}{4}x+1[/tex]

The sentences:

First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.

Answer:

350:210:140

Step-by-step explanation:

5+3+2=10, so we need 10 equal parts

700÷10=70

5x70=350

3x70=210

2x70=140

350:210:140

Answer:

Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

Answer:

44 ft

Step-by-step explanation:

We are given that;

Speed; v = 60 mph

Reaction time;t = 0.5 s

Now, we know that;

Distance = speed x time

Since time is in seconds, let's convert speed to mph to ft/s

From conversion,

1 mph = 1.46667 ft/s

So, 60 mph would give;

60 × 1.46667 ≈ 88 ft/s

Thus, distance his car travels during his reaction time is;

Distance = 88 × 0.5 = 44 ft

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 34 cm

The statement

The length of a rectangle is 8 cm longer than twice the width is written as

l = 8 + 2w

Substitute this expression into the above formula and solve for the width

That's

34 = 2( 8 + 2w) + 2w

34 = 16 + 4w + 2w

6w = 18

Divide both sides by 6

w = 3

Substitute this value into l = 8 + 2w

That's

l = 8 + 2(3)

= 8 + 6

l = 14

The dimensions are

length = 14 cm

width = 3 cm

Hope this helps you

Answer:

17

Step-by-step explanation:

x^2 + 2y^2

Let x=3 and y =2

3^2 + 2 ( 2)^2

Exponents first

9 + 2* 4

Then multiply

9+8

Then add

17

Answer:

17

Step-by-step explanation:

● x^2 + 2y^2

Replace x by 3 and y by 2

● (3)^2 + 2×(2)^2

● 9 + 2 × 4

● 9 + 8

● 17

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

The given coordinates are, P(-2,3) and Q(5,4).

Now, finding the P' and Q'.

Reflection on x- axis .

P(x,y)---------> P' (x,-y)

P (-2,3)----------> P'(-2,-3)

Now, let's find Q'

Reflection on y-axis.

Q(x,y)----------> Q'(-x,y)

Q(5,4)---------> Q'(-5,4)

Now, The points are P'(-2,-3) and Q'(-5,4)

By distance formulae,

[tex]P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]

Putting their values,

[tex]P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } [/tex]

[tex]P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } [/tex]

Simplifying them we get,

[tex]pq = \sqrt{58} [/tex]

Therefore, the distance between P'and Q' is root under 58 units.

Hope it helps...

Answer: m = 2/3

Step-by-step explanation: Use the slope formula to find the slope m.

: m = slope :

: slope of a line : m = rise/run = y2-y1/x2-x1 :

: (x1,y1) : coordinates of first point in the line :

: (x2,y2) : coordinates of second point in the line :

I hope this helps you out.

Answer:

Slope = 2 / 3

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

y2 is the y coordinate of the second ordered pair and y1 is the y coordinate of the first ordered pair. x2 is the x coordinate of the second ordered pair and x1 is the x coordinate of the first ordered pair.

          =(8-2) / (5+4)

          = 6 / 9

Slope = 2 / 3