Determine whether AB and CD are parallel, perpendicular,
or neither.
A (12,3), B(-3,9), C (-6,4), D (-2,-6)

Answers

Answer 1

Answer:

Step-by-step explanation:

we can find the equations for both lines and analyze after

[tex]y = mx + b\\where\\m = \frac{y_2-y_1}{x_2-x_1}\\\\[/tex]

AB:

[tex](12, 3), (-3, 9)\\m = \frac{9-3}{-3-12} = \frac{6}{-15} = \frac{-2}{5}[/tex]

[tex]y = \frac{-2}{5}(x) + b\\3= \frac{-2(12)}{5} + b\\3 = \frac{-24}{5} + b\\b = \frac{39}{5} \\y = \frac{-2}{5}(x) + \frac{39}{5}[/tex]

CD:

[tex](-6, 4) (-2, -6)\\m = \frac{4-(-6)}{-6-(-2)} = \frac{10}{-4} = \frac{-5}{2} \\y = \frac{-5}{2}(x) + b\\4 = \frac{-5(-6)}{2} + b\\4 = 15 + b\\b = -11\\y = \frac{-5}{2}(x) - 11[/tex]

Determining whether two lines are parallel or perpendicular involves looking at their slopes. AB has a slope of -2/5, CD has a slope of -5/2. Since these are not equal (not parallel) and not negative reciprocals of each other (not perpendicular), the lines are neither perpendicular or parallel.


Related Questions

Select the expressions that are equivalent to 6u + U.
7u

U times 7

40 + 2u + u

3u + 4u

Answers

Answer:

7u, U times 7, and 3u + 4u.

What is the opposite integer of –(–7)?

Answers

-7

-(-7) is 7 because two negative signs result in a positive. The opposite integer of 7 is -7

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

4/3 all I can tell u

Rewrite each linear equation in standard form. Then, state the values for A, B, and C.


0.09x-0.01y=0.39 _____
A=_______,B= _______,C= _______

Answers

Answer:

A = 9/100

B = -[1/100]

C = -[39/100]

Step-by-step explanation:

Given:

0.09x - 0.01y = 0.39

Find:

A,B,C

Computation:

Linear equation;

Ax + By + C = 0

So,

0.09x - 0.01y = 0.39

9x/100 - 1y/100 = 39/100

9x/100 - 1y/100 - 39/100= 0

So,

A = 9/100

B = -[1/100]

C = -[39/100]

Factor the GCF: −14y2 + 12y − 22

Answers

Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).

Step-by-step explanation:

The information is in the picture PLEASE HELP ME

Answers

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

A negative multiplied/divided by a negative (same signs) equals a _

positive

negative

Answers

Answer:

When you multiply two negative numbers or two positive numbers then the product is always positive. 3 times 4 equals 12. Since there is one positive and one negative number, the product is negative 12.

Step-by-step explanation:

Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her
salary on expenses each year, then how much money does Sandy have to spend on
expenses? Round your answer to the nearest whole number.

Answers

Answer:

Step-by-step explanation:

50,000 * 60%= 30,000

If Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that, Engineer Sandy earns a salary of $50000 per year. If Sandy spends each year 60% of her income on expenses,

We have to find the amount Sandy has to spend on expenses,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The amount spend on the expenses is,

Expenses = 60% of the salary

Expenses =60/100 × $50000

Expenses = 30,000

Thus, if Sandy receives a $50000 salary for working as an engineer. If Sandy spends 60% of her salary on expenses each year, then Sandy spends $30,000 on expenses.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

a5b10
ab3
How do I simplify a s express using exponents

Answers

You do it like this 3(5•4) and that will be 60 I think I haven’t this type of work in a while!

Write the recurring decimal 0.63as a fraction

Answers

Answer:

63/100, this can't further more simplified

Step-by-step explanation:

i hope it helped you please give me brainliest

2 The perimeter of a square is given as 12x + 20. Write two different expressions to
represent its perimeter. Use factoring for one way.

Answers

Answer:

The two expressions are;

4(3x + 5)

and

(6x + 10) + (6x + 10)

Step-by-step explanation:

Here, we want to write two different expressions to represent the perimeter of the square

The perimeter is given as 12x + 20

Using factoring, we can have this as;

4(3x + 5)

Otherwise, we can have

(6x + 10) + (6x + 10)

4.
Peppa has a carton with a dozen eggs in it. 6 eggs are brown.
The rest are white. What fraction of her eggs are white?

Answers

Answer:

6/12 or 1/2

Step-by-step explanation:

there ya go i think its right

If an exterior Angele of a regular polygon is an integer, what are the possible values of the angle?​

Answers

Answer:

Please read the explanied answer below.

Step-by-step explanation:

As we know that polygon is a shape that consists of at least three sides.The sum of exterior angles of any polygon = [tex]360^{\circ }[/tex]

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

Exterior angle = 360° ÷ No. of sides

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

Allie created a garden in the shape a right triangle. Which set of measurements could represent the lengths of the sides of her garden
A. 1in, 5in, and 6in
B. 3ft, 3ft, and 4ft
C. 9cm, 9cm, and 9cm
D. 6m, 8m, and 10m

Answers

Answer:

D

Step-by-step explanation:

[tex] {c}= \sqrt{ {a}^{2} + {b}^{2} } [/tex]

[tex]c = \sqrt{ {6}^{2} + {8}^{2} } [/tex]

[tex]c = \sqrt{36 + 64} [/tex]

[tex]c = \sqrt{100 } [/tex]

[tex]c = 10[/tex]

Pythagorean theorem

What is the inequality for the graph [-7,3], [0,-4]

Answers

Answer:

[45]

Is the answer................

I need help ion fully know what to do

Answers

For the first half; 2 is corresponding, 3 is alternate interior, 4 is alternate exterior, 5 is corresponding and 6 is alternate interior. As for the second half; 7 is 55 degrees, 8 is 145 degrees, 9 is 35 degrees, and 10 is 55 degrees.

Select the equation which represents the graph.
Question 1 options:

A: y − 3 = 3/2(x − 4)

B: y − 3 = 2/3(x − 4)

C: y − 3 =− 2/3(x − 4)

D: y − 3 = −3/2(x − 4)

Answers

Answer:

B. [tex] y - 3 = \frac{2}{3}(x - 4) [/tex]

Step-by-step explanation:

We can create an equation to represent the graph in point-slope form, given as [tex] y - y_1 = m(x - x_1) [/tex], by using a point (x1, y1) on the line, (4, 3) and the slope (m) of the line.

Let's find slope using the two points (4, 3) and (-2, -1).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 3}{-2 - 4} = \frac{-4}{-6} = \frac{2}{3} [/tex]

Substitute m = ⅔, x1 = 4, and y1 = 3 in [tex] y - y_1 = m(x - x_1) [/tex].

The equation that represents the graph would be:

✅[tex] y - 3 = \frac{2}{3}(x - 4) [/tex],

What is the slope of the line?

Answers

Answer:

-1/2.

Change in y above change in x (don't mix that up)

The first coordinate is 3,-2 the second is 2,-4.

The change is x was -1 . (2-3)

The change in y was 2. (-4-(-2))

The town of Paxton has a population of 4.81 × 104 residents. The town of Oakville has twice the number of residents than Paxton. Which values represent the number of residents for the town of Oakville? Select all the values that apply
.A.9.62 × 10^8
B.4.81 × 10^6
C.9.62 × 10 ^4
D.4.81 × 10^8
E.4,810,000
F.96,200


plz help

Answers

Answer: A,F

Step-by-step explanation:

You are given an expression for the volume of the rectangular prism. Determine an expression for the missing dimension.
V equal 4 x to the power of 3 plus 5 x to the power of 2 minus 32 x minus 33 and the dimensions are ( x + 1 ) and ( x + 3 ) .

Answers

Given:

The volume of the rectangular prism is

[tex]V=4x^3+5x^2-32x-33[/tex]

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

[tex]V=length\times breadth\times height[/tex]

It means, volume of a rectangular prism is the product of all dimensions.

We have,

[tex]V=4x^3+5x^2-32x-33[/tex]

Splitting the middle terms, we get

[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]

[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]

[tex]V=(x+1)(4x^2+x-33)[/tex]

Splitting the middle term, we get

[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]

[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]

[tex]V=(x+1)(x+3)(4x-11)[/tex]

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

Answer:

the missing dimension is (4x-11).

In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of the figure they form? Use this table to help you create an equation.

Answers

Answer:

The perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ([tex]x=1[/tex]), the total perimeter is ([tex]y=2\cdot 3 + 1\cdot 4 = 10[/tex]).

ii) For two triangles ([tex]x = 2[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +2\cdot 4 = 14[/tex])

iii) For three triangles ([tex]x = 3[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +3\cdot 4 = 18[/tex])

iv) For four triangles ([tex]x = 4[/tex]), the total perimeter is ([tex]y = 2\cdot 3 +4\cdot 4 = 22[/tex])

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is [tex]y = 6 + 4\cdot x[/tex].

It’s almost your birthday and you are saving up to buy a car. So far, you have $300 in your account. Each month, you will deposit another $200

Answers

Answer:

300+200

Step-by-step explanation:

did not give a equation

Answer:

300 + 200x

Step-by-step explanation:

200 is the one that's changing so it has the x.

Answer this question plz​

Answers

157 angle on a straight line

The measure of angle EDF from the given figure is 23°.

From the given figure, ∠EGF=23°.

What is and angles in the same segment theorem?

The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.

By using angles in the same segment theorem, we get

∠EGF = ∠EDF = 23°

Therefore, the measure of angle EDF from the given figure is 23°.

To learn more about the circle theorems visit:

https://brainly.com/question/19906313.

#SPJ2

Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?

Answers

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

Which expressions give the monthly pay of an employee with 33 hours of training

Answers

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

Simplify each expression by combining like terms.
1) 11x + 9x
2) 8y - 7y
3) 5t - 7t
4) -n + 4n
5) 5w^2 + 12w^2

Answers

1.) 20x
2.) 1y
3.)-2t
4.)3n
5.)17w^2

The cost of printing 200 business cards is $23. The cost of printing 500 business cards is $35. What linear equation that could be used to solve this problem?​

Answers

There’s no question?

Which set of points represents a function? { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 1 , − 2 ) , ( 3 , − 5 ) , ( 3 , − 2 ) , ( 5 , − 7 ) , ( 7 , − 8 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( 0 , 1 ) , ( 1 , − 3 ) , ( 2 , − 5 ) , ( 3 , − 7 ) , ( 4 , − 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 1 , 1 ) , ( − 1 , 3 ) , ( − 1 , 5 ) , ( − 1 , 7 ) , ( − 1 , 9 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) } { ( − 4 , 0 ) , ( − 3 , − 1 ) , ( − 3 , 1 ) , ( 0 , − 2 ) , ( 0 , 2 ) }

Answers

Given:

The set of points.

To find:

Which set of points represents a function?

Solution:

A set of points represents a function if there exist a unique y-value for each x-value.

It option A, the set of points is

{(1,-2), (3,-5), (3,-2), (5,-7), (7, -8)}

This is not a function because there exist two y-values y=-5 and y=-2 for x=3.

It option B, the set of points is

{(0,1),(1,−3),(2,−5),(3,−7),(4,−9)}

This is a function because there exist a unique y-value for each x-value.

It option C, the set of points is

{(−1,1),(−1,3),(−1,5),(−1,7),(−1,9)}

This is not a function because there exist five y-values y=1,3,5,7,9 for x=-1.

It option D, the set of points is

{(−4,0),(−3,−1),(−3,1),(0,−2),(0,2)}

This is not a function because there exist two y-values y=-1 and y=1 for x=-3.

Therefore, the correct option is B.

Answer:

problem ...

Which of the following sets represents a function?

{(3, 5), (-1, 7), (3, 9)

{(1, 2), (3, 2), (5, 7)}

{(1, 2), (1, 4), (1, 6)}

Step-by-step explanation:i think is

{(1, 2), (3, 2), (5, 7)}

The pair figures are similar.find the missing side

Answers

Answer:

C. x=3

Step-by-step explanation:

Because the sides are proportionate to each other

Side 3 is 3x the length of Side 1

Therefore,

Side 9 is also 3x the length of side X

3x=9

Divide both by 3

and X will be 3.

At the local college, a study found that students earned an average of 14 credit hours per semester. A sample of 138 students was taken. What is the best point estimate for the average number of credit hours per semester for all students at the local college?

Answers

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

Other Questions
geometry is experienced that in the early childhood setting through Before becoming queen, who was the archduchess of Austria?A. Queen ElizabethC. Maria TheresaB. Catherine the GreatD. none of the above List the three subatomic particles. Give the relative masses and charges of each.Identify the type of bond(s) present in each of the following substances:NaClC2H6MgOAg6N2O4F2Fe5CO2 8.9 x 7 can u solve it with work shown Screenshot very easy ***Answer when you can!***Evaluate functions from their graph g(-4)=?? pls help :( plssss plsss pls What is a half-life of an isotope? please help Which of these is a chemical property used to identify minerals?O A. ReactivityO B. ColorO C. LusterO D. Hardness . What units would you use to measure a red blood cell?1. Nanometers2. micrometers3. millimeters Write a equation in slope-intercept form of the line that passes though (-5,19) and (5,13) Find the value of x. Then, find the measure of each labelled angle. x=_(7x+10)=_(15x+16)=_ BRAINLIEST ON THE LINE INFO IN PHOTO BELOW All of the points in the picture are on the same line.YA(6, 10)(a, 8)(4,5)(2, 2)1. Find the slope of the line. Explain or show your reasoning,2. Write an equation for the line.3. Find the values for a and b. Explain or show your reasoning4. What is the y-coordinate when x = 0? Explain or show your reasoning. What did Mrs. Baker say when she read the note from Mr. Guareschi after Hollingcame back from the office? The First-person to get correct will get BRAINLESIT I think of a number, multiply it by four, and subtract three. I get eleven. a) Using the statement above, form an equation. Use the letter 'x' for the unknown number.b) Solve the equation The monthly payment for a car lease is $530 for 18 months. The down payment is $2,000. The residual value is $7,000. What is the total cost of the lease? A. $18,540 B. $20,540 C. $25,540 Developments such as the one depicted in the painting most directly contributed to which of the following in Afro-Eurasia in the fourteenth and fifteenth centuries? Which effects would many organisms likely experience if global warming occours check all that applyDisrupted food webs Increased competition Increased number of glaciers Disrupted life cycle eventsForced relocation what is this !?help please!