Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and CD.

Answers

Answer 1

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope


Related Questions

solve for b
–1 + 2b − 9 = 10b − 10

Answers

Answer:

The answer is B= 0

I'm positive

help please!! i have 54:40 left!

Answers

Answer:

4/7 (first one)

Step-by-step explanation:

6-(2)/(2)+5=4/7

hope this helps

Answer:

6-2/2+5=4/7

The answer is 4/7 (option A)

F is directly proportional to A. if F=72 when A=9 find F when A=7

Answers

56 is your answer.

Equation for direct proportion is y = kx where k is the constant of proportionality. For your letters, it’s f = ka

We know 72 =k9, so k = 8
Then they want you to solve
f = 8•7
f = 56

5. Two plumbing companies charge the rates shown in the table. Find
how long the plumbing companies would need to work for Pipeline's
charges to be greater than Down the Drain's.
Hourly Rate
Company
Pipeline
Fixed Charge for Visit
$25.00
$32.50
Down the Drain
$22.50
$50.00

Answers

$32.50
G gg yvybyxrcygijtswerving

Maria is planting a row of flowers in a bed 103 feet long. The instructions say to space the plants 1 foot apart, allowing room for 103 flowers. The flowers come in flats containing 6 plants per flat. How many flats will she need? How many plants will she have left over?

Answers

Answer:

She will need 17 flats and will have 1 plant left over.

Step-by-step explanation:

six can go into 103 17 times, with a remainder of one.

Juan has blood type A, Lilly has blood type AB, and Aaron has blood type O. Is this relation a function? Explain.

This relation is a function. Each name in the domain corresponds to exactly two elements in the range of blood types.

This relation is not a function. Each name in The Domain corresponds to exactly two elements in the range of blood types.

This relation is a function. Each name in The Domain corresponds to exactly one element in the range of blood types.

This relation is not a function. Each name in The Domain corresponds to exactly one element in the range of blood types. ​

Answers

Answer:

This relation is a function

3rd answer

Can you help? This is an AP Precalc problem

Answers

Notice that v points into the third quadrant since both of its components are negative. If you want a vector to point in the same direction, it would need to have the same sign on its components. So C is the correct choice.

The factor of 1/√80 comes from normalizing the vector v. Its norm/magnitude is

|v| = √((-4)² + (-8)²) = √(16 + 64) = √80

so the unit vector that points in the same direction as v is simply v / |v|.

What is the area of this figure?

Answers

Answer:

I think the area is 38

Step-by-step explanation:

area =38

Yea it might be 38.

3. For each equation, determine if x=2 is a solution. Explain or show your reasoning. Select ALL of those where the x can equal 2. 2 points -2(x - 4) = 4 26/x = 13 - 3.8x = -7.4 4(x - 1) - 3(x - 2) = -8

Answers

Answer:

26/x = 13

x = 2

Step-by-step explanation:

2(x - 4) = 4

2x - 8 = 4

2x = 4 + 8

2x = 12

x = 12/2

x = 6

26/x = 13

Cross product

26 = x * 13

26 = 13x

x = 26/13

x = 2

- 3.8x = -7.4

x = -7.4 / -3.8

x = 1.95

4(x - 1) - 3(x - 2) = -8

4x - 4 - 3x + 6 = -8

x + 2 = -8

x = -8 - 2

x = -10

**
pls help .
What shape(s) have opposite angles that are
congruent? ** You may have more the one
correct answer!
Rhombus
Square
Rectangle
Trapezoid
Kite

Answers

Answer:

Step-by-step explanation:

A parallelogram also has the following properties:

Opposite angles are congruent;

Opposite sides are congruent;

Adjacent angles are supplementary;

The diagonals bisect each other.

Sea p(x) = 2x + 4, calcular p(5) + p(2

Answers

Answer:

the answer is 7p

Step-by-step explanation:

p(5)+p(2)=7p

Troy has an album that has 400 hockey cards. Each page of the album holds 4 hockey cards. If 19% of the album is empty, how many pages are filled with hockey cards?

Answers

Answer:

81 pages

Step-by-step explanation:

From the information given :

Total hockey cards = 400

Cards per page = 4

Number of pages = 400 /4

Number of pages in album = 100

% of album which is empty = 19%

% filled = 100 - 19 = 81%

81% of 100

0.81 * 100 = 81 pages

please help asap i need to finish i will mark brainlest ily

Answers

Answer:

I think it would be 1/3 as 20+40=60 and 20 is 1/3 of what

Answer:

20\40= 0.5 is 1\2

Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m

Answers

Answer:

4 - | m |

(Absolute value of something is denoted by writing the value between two perpendicular lines.)

The cost of an article including 15% for taxes is ghc ghc138. What is the cost of the article without taxes

Answers

Answer:

Cost of article before tax is 120.

Step-by-step explanation:

It says cost of an article including 15% tax is 138.

So, let the cost of article without tax as 'x'

So, we can set up equation as

x+15%(x)=138

Simplify it

x+0.15x=138

1.15x=138

Divide both sides by 1.15

x=120

So, cost of article before tax is 120.

4x - 1 = -13 show the work please

Answers

Answer:

x = -3

Step-by-step explanation:

4x - 1 = -13

add 1 to each side

4x = -12

x = -3

Answer:

x = -3

Step-by-step explanation:

Add 1 to both sides to, this gives you 4x = -12. then divide both sides by 4, which would give you x = -3.

NEED HELP ASAP FREE BRAINLIST

Answers

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

9 1/2 yards x 19 1/4 yards

Answers

Answer:

(9 1/2) * (19 1/4) = 1463/8 = 182 7/8

Step-by-step explanation:

Conversion a mixed number 9 1/2

to a improper fraction: 9 1/2 = 9 1/2

= 9 · 2 + 1/2

= 18 + 1/2

= 19/2

To find a new numerator:

a) Multiply the whole number 9 by the denominator 2. Whole number 9 equally 9 * 2/2

= 18/2

b) Add the answer from previous step 18 to the numerator 1. New numerator is 18 + 1 = 19

c) Write a previous answer (new numerator 19) over the denominator 2.

Nine and one half is nineteen halves

Conversion a mixed number 19 1/4

to a improper fraction: 19 1/4 = 19 1/4

= 19 · 4 + 1/4

= 76 + 1/4

= 77/4

To find new numerator:

a) Multiply the whole number 19 by the denominator 4. Whole number 19 equally 19 * 4/4

= 76/4

b) Add the answer from previous step 76 to the numerator 1. New numerator is 76 + 1 = 77

c) Write a previous answer (new numerator 77) over the denominator 4.

Nineteen and one quarter is seventy-seven quarters

Multiple: 19/2

* 77/4

= 19 · 77/2.4

= 1463/8

The supermarket has 28 aisles. 75% are empty, without any shoppers. How many empty aisles are there in the supermarket?

Answers

Answer:

21

28/75%=28

there ya go

(20 points) How can a solution to a system of linear equations be determined exactly by graphing?
Please help, i have to have this answered soon and im freaking out.

Answers

Answer:

Free oints

Step-by-step explanation:

Last year Stevie was 281/4 inches tall. Since then he has grown 51/5
inches. How tall is Stevie now? Simplify your answer.
T

Answers

Answer:

80.45 inches

Step-by-step explanation:

Last year Stevie was 281/4 inches tall, which is: 70.25 inches (70 1/4)

He has grown 51/5 inches which is: 10.2 inches (10 1/5)

70.25 inches (last years height) + 10.2 inches (how many he has grown) = 80.45 inches

Stevie is 80.45 inches tall now.

Hopefully this helps :3 sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

Jo puts $4500 in a
savings account that
earns 5.5% interest. How
much money will he have
after 18 months?

Answers

Answer:

The total money Jo has after 18 months is $4871.25

Step-by-step explanation:

Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?

Answers

This is the equations,
Tee Company: 9.65x + 43
Shirtz Company: 8.40x + 58
If you were to buy one shirt from each company these would be the prices,
Tee Company: $52.65
Shirtz Company: $66.40
I would recommend the Tee Company since the price per shirt is cheaper.

7th grade math again Imao sorry
but ik its a lot but plss

17: -15x +0
18: -17x= -204
19: 21= -7n
20: m/4 = -13
22: -143= 11x
23: -16 + x = --15
26: n-8=-10
27: v/7 =8
28: a+11=20
30: 18+m=8

Answers

Answer:

Down below

Step-by-step explanation:

17: -15x

18: 12

19: -3

20: -52

22: -13

23: 31

26: -2

27: 56

28: 9

30: -10

What is the volume of this rectangular prism?
3 cm
DI
cm
1
cm
2
Y

Answers

Answer:

3/4 cm^3

Step-by-step explanation:

Volume = base area * height. Where base area is 1/2*1/2 (As it is a square) and height = 3 cm, so times together get 3/4.

Step-by-step explanation:

multiply them all

V=h×l×w

V=½cm × 3cm × ½cm

V=¾cm³

Here are the questions and answers. Please help!

Answers

B - it moved right 1 and down 3

Help me with this!!!

Answers

Answer:

z = 9

Step-by-step explanation:

JH is a perpendicular bisector of Δ IJK.

Thus the triangle is isosceles with

JK = JI , that is

7z = z + 54 ( subtract z from both sides )

6z = 54 ( divide both sides by 6 )

z = 9

% 22 si 66 olan sayının % 30 u kaçtır?


lütfen kağıt üzerinde yapın :-)​

Answers

Answer is in the file below

tinyurl.com/wpazsebu

An equilateral triangle has a side length of 3x^2 - 4x + 9. What is the perimeter of the triangle?

Answers

Answer:

peri=3(3xsq-4x+9)

=9x^2-12x+27

What is the first step when examining a data set

Calculate the mean
Calculate the median
Put the data in order from least to greatest.

Answers

Answer:

3. Put the data in order from least to greatest

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