Prove parallel lines have the same slope. Use lines f and g. Line g is a vertical translation of line f.

Please help

Prove Parallel Lines Have The Same Slope. Use Lines F And G. Line G Is A Vertical Translation Of Line

Answers

Answer 1

Answer:

The slope of both lines is 1/4.

Step-by-step explanation:

Line g is a vertical translation of line f so they are parallel.  Now find the slope of each line.

Line f  joins points (-2, 1) and (2, 2), so its slope is (2 - 1) / [2 - (-2)] = 1/4.

Line  g  joins points (-2, -1) and (2, 0), so its slope is [0 - (-1)] / [2 - (-2)] = 1/4.

The two parallel lines have the same slope.

Answer 2

Answer:

(1)

since a translation of a line segment is its rigid movement, vertically or horizontally.

line 's' is parallel to line 'r' since it is a translation of line 'r'  'e' units vertically ( clearly we could see that the point P' corresponding to point P in line r is shifted 'e' units upward and point Q' in line 's' is formed by shifting corresponding point Q of line 'r' e units upward).

(2)

the slope of a line is defined as the change in y-coordinates to the change in x-coordinates of the points on that line.

slope of line r=slope of line segment PQ.

coordinates of P=(m,n) and Q=(j,k)

slope of line r=slope of PQ=
k-n ÷ j-m

(3)

the slope of line s= slope of line segment P'Q'

slope of line s=slope of P'Q'=
k+e- (n+e) ÷ j-m
=

k-n ÷ j-m

(4)

as line q is a vertical translation of line 's' 3 units down.

and P'' is the image of P'.

so coodinates of P''= (m,n+e-3)


Related Questions

Grace got a haircut for $26.95, bought three shirts on sale for $18.50 each and a pair of jeans for $48, and purchased two CDs for $18.50 each. Round each amount to the nearest ten dollars to find a reasonable estimate of how much Grace spent.

Answers

26.95 + 18.5 * 3 + 48 + 18.5 * 2

18.5 * 3 = 55.5

18.5 * 2 = 37

37 + 55.5 + 48 + 26.95 = 167.45

= $167.5

In your answer sheet, copy and find the area of the shaded region.
Use π=3.14.

PASAGOT PLSS, BADLY NEED KOOO. TY.

Answers

Answer:

First one is area of sector

Angle/360 *radius *pie squared

Secong one is the same find the area of the sector and subtract from the area of a triangle which is 2*2=4/2=2insquared

Put this in your calculator

120/360 multiply by 9 squared * pie (1)

90/360 multiply by 2 squared * pie and subtract all of that from 2 (that is the area of the triangle)

And you should get the 2 answers

(m^(6)n^(3))/(m^(2)n^(6))

Answers

Answer:

[tex](m^4)/(n^3)[/tex]

Step-by-step explanation:

See attachment

The numbers in this sequence increase by 8 each time.
14
22
30
38...
The sequence is continued wwith the same rule.
Which number in the sequence will be closest to 100?

Answers

Answer:

Step-by-step explanation:

Please help to answer this question:)

Answers

I hope this helps you :)

Answer:

a function is defined by f(x),#10x+9

find

a, f(-2)

b, k,if f(k)#k

c, f-1(x)

Help !! To avoid working with messy fractions when solving a quadratic equation by completing the square, the b value should be:


negative


zero


odd


even

Answers

Answer
Even

Step-by-step explanation:

I got the answer from my teacher.

A bee farm can produce 1.24 L of honey every week. But during the last week of may, due to change of weather, the production was decreased by 420 ml.
How much honey (measured in ml) was produced during the last week of may?

Answers

Answer:

820 ml

Step-by-step explanation:

1000ml = 1 L
1.23 L = 1240 ml
1240 ml - 420 ml = 820 ml

There were 24 teams at a soccer tournament. In all, 12 teams wore red shirts, 6 teams wore blue shirts, 4 teams wore orange shirts, and 2 teams wore white shirts.

Answers

Answer:

1rst one is 3:2 the second one is 1:2 and third is 1:12 if i remember

Step-by-step explanation:

The total number of teams at the soccer tournament was 24.

The information about the number of teams and the shirts they wore at the soccer tournament.

To summarize:

12 teams wore red shirts

6 teams wore blue shirts

4 teams wore orange shirts

2 teams wore white shirts

To find the total number of teams,  add up the number of teams for each shirt color:

Total Teams = 12 (Red) + 6 (Blue) + 4 (Orange) + 2 (White) = 24 teams

To know more about number here

https://brainly.com/question/3589540

#SPJ2

Which of the following best describes the equation below?
y= |x| +4
А.
both a relation and a function
B.
neither a relation nor a function
C. function only
D. relation only

pls help i don’t feel like doing math rnnnnn

Answers

Answer:

A relation is a function if for each value of x (input value) there is a unique value of y (output value). For the equation given in the problem:

y= |x| +4

There is a unique value of y for each value of x.

Therefore, the equation is a function and a function is also a relation.

Then, the answer is option A.

Hope this helps

Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this

Answers

Answer:

Hello!! Your answer is 25% I think!

Hope this helps!!

Jasmine correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle.
How did jasmine determine the area?
Enter your answer by filling in the boxes
Jasmine determined that the area of each triangle is _m2 and that the area of the rectangle is _m2. She added the areas of the two triangles and the rectangle for a total area of _

Answers

We see that each triangle takes up precisely one half of the parallelogram. From this, we see that the area of a triangle is one half the area of a parallelogram, or the area of a parallelogram is two times the area of a triangle

Answer: 20
              72
              112

Step-by-step explanation:

The Hamden board of education wants to know how the community feels about building a new media center for the middle school. They called every tenth person on the registration list of 7,300 voters until they had called a total of 40 voters. Which of the following are true of the sample of 40 voters? Check all that apply.

Answers

Answer:

The true statements about the sample described in the scenario above are:

The sample should be larger to give more reliable information.

The sample size is too small to represent the population.

The sample size is too small and can lead to false inferences.

Step-by-step explanation:

The sampling technique employed is a systematic random sampling where samples are chosen at every specified interval. Hence, the sample is randomly selected.

Find the two numbers whose sum is 67 and whose difference is 3.

Answers

Answer:

32;35

Step-by-step explanation:

a+b=67

a-b=3 => a=3+b

=>instead of a we write 3+b =>

a+b=67 => 3+b+b=67 => 2b=64 => b=32

=> a = 3+b=> a=32+3=35

I need help finding x

Answers

Answer:

Step-by-step explanation:

#19.

(7x - 2)° + (10 - 3x)° = 180°

(7x - 3x) + (10 - 2) = 180

4x = 172

x = 43

#21.

(6x - 144)° = (2x)°

4x - 2x = 144

2x = 144

x = 72

the top answer is correct

how much is 20 cookies for 15.25 dollars

Answers

Answer:

305 cookies

Step-by-step explanation:

Well, we know that each cookie is $15.25( that is expensive!?) so we multiply it and get 305 (15.25 x 20)

YW!! Have a nice day!

i am not smart pls help!!!

Answers

Answer:

yes, the 10 ft wave is an outlier

Step-by-step explanation: smarts

hope this helps :))

Answer:

the 10ft wave is the outlier

Step-by-step explanation:

hope this helps

What is the measure of the missing angle?
A
to
118°

Answers

Answer:

x = 62°

Step-by-step explanation:

a straight line has a width of 180°

take off 118° from 180° and you will have x

180° - 118° =

62°

If Paul is older than Bill and Fred is younger than Bill, then Bill's age is between Paul's and Fred's.
Write the To Prove statement:

Answers

Fred < Bill < Paul

Paul is older and Fred is younger

Find the value of x?

Answers

Answer:

x = 28º

Step-by-step explanation:

hope this helps :)

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Here's the solution ~

Let's use Angle sum property of a triangle :

[tex]\qquad \sf  \dashrightarrow \: 5x - 60\degree + 2x + 40\degree + 3x - 80 \degree= 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 5x + 2x + 3x - 60\degree + 40\degree - 80\degree = 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x - 100\degree = 180\degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 180\degree + 100\degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 280\degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 280\degree \div 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 28\degree[/tex]

The value of x is 28°

Which set of points is a function?

A- (0,3),(2,4),(0,6)
B- (1,2),(2,2),(3,2)
C- (1,4),(2,5),(1,6)
D- (2,3),(-2,4),(2,6)

Answers

Answer:

B

Step-by-step explanation:

This is a really simple topic. All you need to do when seeing these ordered pairs is see which has x-values that don't repeat. Over here, we can see that that is B, so B is the correct option.

What are the factors of x2 – x – 6? Check all that apply. X – 6 x 6 x – 3 x – 2 x 2 x 1 x – 1.

Answers

Answer:

The factors are x-3 and x+2, and the roots are 3 and -2.

Step-by-step explanation:

x^2-x-6 can be factored in the following way:

(x-3)(x+2)

The factors are x-3 and x+2, and the roots are 3 and -2.

Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: (x-3) and (x+2)

How to factorize a quadratic polynomial with single variable?

Quadratic polynomial with single variables are expressible in the form

[tex]ax^2 + bx + c[/tex]

where x is the variable and a,b,c are constants.

Its factored form is

[tex]\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})[/tex]

For the given case, the expression given to us is [tex]x^2 - x - 6[/tex]

Comparing it with the standard form of quadratic expression  [tex]ax^2 + bx + c[/tex], we get: a = 1. b = -1. and c = -6

Using the aforesaid formula, we get:

[tex]=\dfrac{1}{4a^2} \times (2ax +b-\sqrt{b^2 - 4ac})(2ax +b+ \sqrt{b^2 - 4ac})\\\\=\dfrac{1}{4}\times(2x -1 - \sqrt{1 +24})(2a -1 + \sqrt{1 + 24})\\\\=\dfrac{1}{4} \times (2x - 1-5)(2x - 1 + 5)\\\\=(x -3)(x+2)[/tex]

Thus, The factors of given expression are: (x-3) and (x+2)

Learn more about factors here;

https://brainly.com/question/16078564

1. A pound of fertilizer pellets will cover about 300 square feet of lawn. Find how many pounds of fertilizer will be
needed for a rectangular patch of grass that measures 45 feet by 45 feet.

Answers

Answer:

6.75 if exact 7 if rounding up

Step-by-step explanation:

1lb=300ft^2

45x45=2,025

2,025/300=6.75

Find the value of x if the figure is a regular polygon.

Answers

taking a peek at this regular polygon hmm is has 6 sides, so is a hexagon, ok.

[tex]\textit{sum of all interior angles in regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies 6\theta =180(6-2) \\\\\\ 6\theta =180(4)\implies 6\theta =720\implies \theta =\cfrac{720}{6}\implies \boxed{x=\theta =120}[/tex]

Use synthetic division to solve (x cubed minus x squared minus 17 x minus 15) divided by (x minus 5). What is the quotient? x squared 4 x 3 x squared minus 6 x 13 minus StartFraction 80 Over x minus 5 EndFraction x cubed 4 x squared 3 x x squared minus 6 x 13 minus StartFraction 80 Over x 5 EndFraction.

Answers

Answer:

  (a)  x^2 +4x +3

Step-by-step explanation:

The attachment shows the synthetic division. The quotient is ...

  x^2 +4x +3

_____

Additional comment

Please make sure your math posts include all necessary math symbols and formatting. Some Brainly input methods seem to drop + signs and/or make spacing adjustments that render questions indecipherable. It is helpful if you separate answer choices with punctuation, letter designators, and/or spacing (one per line, for example).

Answer:a

Step-by-step explanation:

4 people can dig a trench in three hours how long would it take 9 people

Answers

Answer:

6h 45 min

Step-by-step explanation:

4 × x = 3h

x = 3 ÷ 4 = 45 min

9 × 45 min = 405 min = 6.75 h

The ratio of centimeters on a map to distance in kilometers is 2 to 5.
If two cities are 16 cm apart on the map, what is the actual distance in kilometers between the two cities? You can use a double number line diagram to help you solve.

Answers

Answer: 40 kilometers

Step-by-step explanation: Since the word ratio is cm/km (centimeter/kilometer), and the number ratio is 2/5, you will have to create another set and put the 16 cm next to the 2 cm. So it would be 2/5=16/X. Now you have to find the value of x. First, you have to multiply 5 by 16, which is equal to 80. Now you divide it by 2 and you will get 40 kilometers as your final answer.

1. Find the indicated lengths:

2. Find the value of X:

3. Find the length of AC:

Answers

Answer:

so

Step-by-step explanation:

SO YOU HAVE TO FIND LENGTH OF THE TRIANGLE

Step-by-step explanation:

I just answered 1.

by using the principle of similar triangles (all angles are the same between the 2 triangles, and the ratio of a corresponding pair of sides is the same for all pairs of sides) we get

AB = 2×38 = 76

AC = 2×24 = 48

WX = CB/2 = 66/2 = 33

2.

the upper small triangle and the whole big triangle are similar triangles.

and we see the ratio of the legs is 1/2 (each leg of the small triangle is half of the leg of the large triangle).

therefore,

3x = 24/2 = 12

x = 12/3 = 4

3.

AC = 16

because the height of C splits the baseline precisely in half, it means that this is at least an isoceles triangle (both legs have the same length). therefore the answer.

AC = CB = 16.

∠1 and ​∠2​ are vertical angles. ∠2​ has a measure of 63°.

What is the measure of ​∠1​?

Answers

Answer:

63 degrees

Step-by-step explanation:

vertical angles are conruent

Hope this helps! :)

Which table of values satisfies the linear equation y=-x-6?
3
x
y
-8
12
0
-6
8
-12
X
y
-4
-3
0
-6
4
-9
x
y
-8
-12
n

Answers

Answer:

I don't understand the "table."  I'll assume x increases over a range of values.

Step-by-step explanation:

See attached table.

what is y-intercept of the line ? help mee

Answers

Answer:

1

Step-by-step explanation:

The y-intercept is the point at which the line intersects the y-axis. The x will always be equal to 0. Here, when x = 0, y = 1. This is the top option.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Hi!

I can help you with joy! :)

Remember, the y-intercept is the point where the graph touches the y-axis (that's why it's called y-intercept)

Now, where does the graph touch the y-axis?

It touches the y-axis at (0,1)

Thus, the y-intercept is 1.

I hope this helps you!

Enjoy your day :)

[tex]\bf{MistySparkles :)[/tex]

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