Consider the two lines describer the equations Ax + By = C and Dx + Ey = F

a) What must be true for these two lines to parallel?

b) What must be true in order for these two lines to be perpendicular?

c) What must be true in order for these two lines to be identical?

Answers

Answer 1

Answer:

a).

A must be equal to D i.e gradients must be equal.

b).

The product of A and B must be equal to -1

c).

A, B and C must be equal to D, E and F respectively.


Related Questions

Pls help with the circle area and perimeter

Answers

Answer:

circumference = 40.82 m

area = 132.67 m²

Step-by-step explanation:

circumference = diameter x π = 13 x 3.14 = 40.82 m

radius = diameter/2 = 13/2 = 6.5

area = πr² = )3.14)(6.5²) = 132.67 m²

In most residence, the largest bedroom is considered the Masters Bedroom. Which bedroom would be considered the Masters Bedroom based on area? * bed room 2 bedroom 1

Answers

Answer:

Bedroom 2 will be considered as the Master bedroom.

Step-by-step explanation:

Area of bedroom 1 = Area of room 1 - Area of the closet 1

Area of the room 1 = Length × Width  

                               = (2.5 + 1.4) × (4.3+0.6)

                               = 3.9 × 4.9

                               = 19.11 m²

Area of closet 1 = 1.5 × 0.6

                          = 0.90 m²

Area of bedroom 1 = 19.11 - 0.90

                                = 18.21 m²

Area of bedroom 2 = Area of room 2 - (Area of bathroom + Area of Hall)

Area of room 2 = (3 + 3.1) × (2.5 + 2.4)

                         = 6.1 × 4.9

                         = 29.89 m²

Area of bathroom = 3 × 2.5

                              = 7.5 m²

Area of Hall = 1.2 × 2.4

                    = 2.88 m²

Area of bedroom 2 = 29.89 - (7.5 + 2.88)

                                 = 29.89 - 10.38

                                 = 19.51 m²

Since, area of bedroom 2 is greater than bedroom 1.

Therefore, Bedroom 2 will be considered as the Master bedroom.

This table goes through the pairs(51,-65) and (68,-78).What is the yintercept of the line?​

Answers

Answer:

I think the y intercept is (0,-26)

Step-by-step explanation:

Answer:

(0, -26)

Step-by-step explanation:

Find the slope:

m = (-78 + 65)/(68 - 51) = -13 / 17

Use point-slope form to find the equation of the line:

y - (-65) = -13/17(x - 51)y = -13/17x + 39 - 65y = -13/17x - 26

The y-intercept is - 26

Adam's sunflower plant was 147.087 centimeters tall in April. During May, the plant grew 62.4 centimeters. How tall was Adam's sunflower plant at the end of May? It is adding subtracting decimals

Answers

Answer:

209.487

Step-by-step explanation:

All you have to do is add 147.087+62.4 and you will get your answer of 209.487 I hope this helps :D

2.
Given: AC = CB
CD Bisects AB
Prove: ADC = BDC
pls help me

Answers

Answer:

Step-by-step explanation:

AC = CD                    Given

CD Bisects AB          Given  

AD = DB                    Result of Bisection

<A = <B                      When Two sides of a triangle are equal, the angles opposite them are also equal.

ΔABD = ΔCBD          SAS.

what are the equations and domain/range of each line?

Answers

15,30 is the answer to thois promblem

Convert. 19 ft = yd ft

Answers

Answer:

19 ft = 19/3 yd

Step-by-step explanation:

If 3 ft = 1 yd, then 19 ft = 1 yd * 19/3 ft = 19/3 yd

Calculate the average (arithmetic mean)of the list of numbers shown in the table (rounded to the nearest tenth) 1049.0 1180.0 1180.1 1348.7

Answers

Answer:

The average of the list of numbers is 1189.5

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the number of values.

In this question:

Sum:

1049.0+1180.0+1180.1+1348.7 = 4757.8

Mean:

4 values, so:

4757.8/4 = 1189.5

The average of the list of numbers is 1189.5


Find the inverse of f(x) = -3x.
The inverse is
g(x) =
Graph the function and its inverse

Answers

Inverse is -x/3, -3x is a linear line with a negative slope of 3 (3 up, 1 to the left) that crosses at the origin. -x/3 is also a linear line that crosses at the origin with a slope of -1/3 (1 up, 3 to the left)

solution of f'(x) = 9x2+2x (-2,2)

Answers

Answer:

f(x) = 3x³ + x² + 22

Step-by-step explanation:

Given

f'(x) = 9x²+2x

To get f(x), we will be integrating the function

f(x) = 9x³/3 + 2x²/2 + C

f(x) = 3x³ + x² + C

at (-2,2)

2 = 3(-2)³ +(-2)² + C

2 = -24 + 4 + C

2 = -20 + C

C = 2+20

C = 22

Get the required function

f(x) = 3x³ + x² + C

f(x) = 3x³ + x² + 22

look at pic 10 pts will mark brainilest

Answers

Im pretty sure it would be B) 100

Sisters Sharon and Karen enjoy sleeping. Let X represent the number of hours Sharon sleeps each night, and let Y represent the number of hours Karen sleeps each night. The mean of X is 7.9, and the mean of Y is 8.4. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?

Mu Subscript s Baseline = 0.5; the mean amount of sleep Sharon and Karen get is 0.5 hours nightly.
Mu Subscript s Baseline = 8.15; the mean amount of sleep Sharon and Karen get is 8.15 hours nightly.
Mu Subscript s Baseline = 8.15; Sharon and Karen can expect to sleep a total of 8.15 hours, on average, nightly.
Mu Subscript s Baseline = 16.3; Sharon and Karen can expect to sleep a total of 16.3 hours, on average, nightly.

Answers

Answer: D

Step-by-step explanation: right on edge :)

[tex]\mu_S[/tex] = 8.15, the mean hours of sleep Sharon and Karen get is 8.15 hours nightly.

What are mean, median, and mode?

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given, Two persons 'X' and 'Y' has mean sleeping hours of 7.9 and 8.4.

Therefore, The mean sleeping hours of both combined is (X + Y)/2 which is,

= (7.9 + 8.4)/2.

= 16.3/2.

= 8.15 hours.

learn more about mean, median, and mode here :

https://brainly.com/question/15323584

#SPJ2


Choose All the numbers that round down when rounding to the nearest hundred

Answers

Answer:

3,140, 47,035

Step-by-step explanation:

Marsha deposited ​$5,000 into a savings account 2 years ago. The simple interest rate is 3​%. How much money did Marsha earn in​ interest?

Answers

Answer:

$300

Step-by-step explanation:

(5000)(2)(3/100)

=300

F = 9/5C + 32 solve for f​

Answers

Answer:

substitute the value for C

Step-by-step explanation:

with that you'd be able to solve for x

solve and graph: 7x-6>22
(pls explain your answer, im confused on this)​

Answers

Answer:

x>4

Step-by-step explanation:

Solving an inequality is very similar to solving an equation:

Given: 7x-6>22

Add 6 to both sides: 7x>28

Divide both side by 7: x>4

x>4 means that all x-values that are greater than 4 will work. Therefore you would write an open dot at x=4 on the number line to show that 4 isn't included, and draw an arrow going right to show all possible solutions greater than 4.

b3 + y when
b = 3 and y = 4.5

Answers

Answer:

31.5

explanation if you need it -

b3 + y

when b = 3 and y= 4.5

b x b x b + y

1, substitute the values

3x3x3 + 4.5

27+ 4.5

31.5

pls help!
how many faces does it have?

Answers

Answer:

6

Step-by-step explanation:

I just learned this!! :)

Answer:

it has 6 faces

Step-by-step explanation:

Graph the function f(x) = 2x − 4. Click the intercepts to show the coordinates.

Answers

y-intercept: (0, -4)

x-intercept: (0, 2)

Sorry if this wasn't what you were asking for, I'm not sure if I understood your question correctly. I don't know if you asking just to graph it or if you were asking for the x and y intercepts too, along with the graph. Either way, hope this helped!

hey guys may you help me with these questions 1 2 and 3
thank you ​

Answers

Answer:

1a. [tex]\frac{3}{4}[/tex]

1b. [tex]\frac{7}{10}[/tex]

1c. [tex]\frac{3}{10}[/tex]

1d. [tex]\frac{1}{3}[/tex]

2a. [tex]\frac{3}{4}[/tex]

2b. [tex]\frac{1}{5}[/tex]

2c. [tex]\frac{3}{10}[/tex]

2d. [tex]\frac{9}{10}[/tex]

2e. [tex]\frac{1}{20}[/tex]

3. [tex]\frac{1}{8}[/tex]

A camcorder costing 150 has a markup rate of 35% . Find the markup.

Answers

I'm so sorry I don't know the answer to this question try something else

carsonkratsas can u help meh

Answers

Answer:

This might help and hopefully it clears ur doubts:

Step-by-step explanation:

How many 1/16 of an inch is in 1 5/8 inch?

Answers

Answer:hei svaret på spørsmålet ditt er c sorry for å kaste bort spørsmålet ditt. Jeg trenger bare poeng jeg er så lei meg

Step-by-step explanation:

9 - (4/9+1/3)
Write and solve a word problem for the expression

Answers

Answer:

9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?

Answer: 74/9 or 8.2

Step-by-step explanation:

first add 4/9 and 1/3 since it's in parenthesis

4/9+1/3

they need to have the same denominator, use the LCM (which is 9)

multiply 1/3 by 3 to achieve the LCM

4/9+3/9

add together numerators

7/9

subtract 7/9 from 9

9/1-7/9

get 9 to achieve the LCM (which is 9 again)

multiply 9/1 by 9

81/9 minus 7/9= 74/9

HELP PLS
In the function n = p(m), the __________ is all the possible values of m, and the __________ is all the possible values of n

Answers

Answer:

420

Step-by-step explanation:

420 69

Which of the shapes below is a type of quadrilateral? Select all that apply.

A) circle
B) rhombus
C) parallelogram
D) trapezoid

Answers

Parallelogram

Rhombus

Trapezoid

The center of a circle is located at (2, -1). A point on the circle is located at (-3,-1). What is the approximate circumference of the circle?

A16 units
B31 units
C79 units
D100 units

Answers

Answer:

您同性恋

Step-by-step explanation:

Help #5-8 easy work thank you

Answers

Answer:

I got you

Step-by-step explanation:

9/10

1/3

3/4

1/2

I would really appreciate if any of you guys can help me on this please and thank you !!

Answers

Answer:

1.

a = 1  b = 3  c = 11

2.

a = 1  b = -7  c = -11

3.

a = 1  b = 4  c = -9

4.

a = 3  b = -1  c = 16

5.

a = 1  b = 0  c = -9

6.

a = 2  b = 5  c = 0

7.

a = -4  b = 0  c = -3

8.

a = 6  b = 0  c = 0

9.

a = -1  b = 1  c = 0

Hope this helps took me a long time to type

what are two factors of 24 that add to be 10? separate each factor by a comma

Answers

6 and 4. The answer has to be 20 characters long in order to post so ignore this part.
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