Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1

Answers

Answer 1

Answer:

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Step-by-step explanation:

Sea una recta:

f(x) = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:

g(x) = a*x + c

Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)

Entonces podemos escribir la línea perpendicular a f(x) como:

h(x) = -(1/a)*x + c

Ahora veamos nuestras líneas:

A(x) =  y = −3*x+5

B(x) = y = x/3+2 = (1/3)*x + 2

C(x) = y = -3*x + 1

Primero veamos cuáles son paralelas:

A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces  A y C son paralelas.

Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:

-(1/-3) = 1/3

Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.


Related Questions

Factor completely x2 + 25. (1 point)
O (x + 5)(x + 5)
O (x + 5)(x - 5)
O (x - 5)(x - 5)
O Prime

Answers

Prime x² + 25 is prime (unfactorable).
Here's what the other options come out to:
(x + 5)(x + 5) = x² + 10x + 25
(x + 5)(x − 5) = x² − 25
(x − 5)(x − 5) = x² − 10x + 25

pls answer question :)

Answers

okay im not sure but maybe try to find a number that can be = to 18 and that might be y

Answer:

y= 6x + 18

Step-by-step explanation:

Here, the problem says every package has 6 tortillas. X, in this problem, represents the number of packages, so x time 6, the number of tortillas each has, plus 18, the number of tortillas she already had, is going to give you y, the total amount of tortilla Jacinta has.

Simplify and express
[tex]2 \sqrt{2} - \frac{3}{ \sqrt{2} } + \frac{4}{ \sqrt{8} } [/tex]
as a single surd​

Answers

First a few reminders:

• For a ≠ 0 and b ≥ 0, [tex]\sqrt[a]{b}=b^{\frac1a}[/tex]

• 4 = 2² and 8 = 2³

• For real numbers a, b, c, we have [tex](a^b)^c=a^{bc}[/tex]

• For any real numbers a and n (so long as both are not zero), we have [tex]\frac1{a^n}=a^{-n}[/tex]

• For any numbers a, b, c, [tex]a^b\times a^c=a^{b+c}[/tex]

So we have

[tex]\sqrt2=2^{\frac12}[/tex]

[tex]\dfrac1{\sqrt2}=2^{-\frac12}[/tex]

[tex]\dfrac1{\sqrt8}=\dfrac1{(2^3)^{\frac12}}=2^{-\frac32}[/tex]

Then the given expression can be rewritten as

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2\times2^{\frac12}-3\times2^{-\frac12}+2^2\times2^{-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{1+\frac12}-3\times2^{-\frac12}+2^{2-\frac32}[/tex]

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{\frac32}-3\times2^{-\frac12}+2^{\frac12}[/tex]

Pull out a factor of [tex]2^{-\frac12}[/tex]:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^{\frac32+\frac12}-3+2^{\frac12+\frac12}\right)[/tex]

Simplify this:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=2^{-\frac12}\left(2^2-3+2^1\right)=2^{-\frac12}(4-3+2)=3\times2^{-\frac12}=\dfrac3{\sqrt2}[/tex]

Rationalize this last result to get the square root out of the denominator:

[tex]2\sqrt2-\dfrac3{\sqrt2}+\dfrac4{\sqrt8}=\dfrac3{\sqrt2}\times\dfrac{\sqrt2}{\sqrt2}=\dfrac{3\sqrt2}{(\sqrt2)^2}=\boxed{\dfrac{3\sqrt2}2}[/tex]

648/180 reduced? In fractions

Answers

Answer: 18/5

Step-by-step explanation:  hope this helps pls mark me brainliest

Plz help i have been asking this question too much

Answers

Answer:

6

Step-by-step explanation:

1/6 of 36 is 6

2/3 of 36 is 24

6+24=30

36-30=6

<3

Answer:

if u search your question on brainly you'll see alot of answers! here is one of them!!!

math help pls answer

Answers

Answer:

-7  -4  0 1 7

Step-by-step explanation:

x=0

x²-49=0

x²=49

x=±7

x²+3x-4= ² + 4 − − 4= ( + 4 ) − 1 ( + 4 )=(x+4)(x-1)=0

x+4=0

x=-4

x=1

I need help on this math problem

Answers

Answer:

x+66+55=180(being sum of the angle of triangle=180degree

x=180-121

therefore, x=59

plz give me thanks

Answer:

All triangles have angles that add up 180 degrees.

So Angle x = 180 - 55 -66

which equals 59 degrees.

Step-by-step explanation:

!!!!!URGENT!!!!FIND THE SLOPE
A. 3
B. - 3
X
O
12
14
6
D.

Answers

Answer:

3-2/6-3 =1/3

So the answer is 1/3'c'

A map has a scale of 2 centimeters = 4 miles. Mary's drive to work is represented on the map as traveling 1cm north then 2.5 cm west. Which equation could be used to determine how many miles Mary drives to work?

Answers

Mary drives 7 miles!2cm / 4mi = 1cm / 2mi1(2) + 2.5(2) = 7Please let me know if I am wrong.

Factor completely. 5x^2-20x+20=5x 2 −20x+20

Answers

Step-by-step explanation:

5x^2 - 20x + 20 = 5x^2 - 20x + 20

5(x^2 - 4x + 4) = 5(x^2 - 4x + 4)

(5 + 5) (x^2 - 4x + 4)

plz help and yes im lazy.

Answers

Answer:

38

Step-by-step explanation:

A=11

T=2

U=16

AxU (11x2)=22

22+16

38

38 is the final answer

Answer:

I think it would be 38

Step-by-step explanation:

v=16+11(2)

LT1 10th grade level

Answers

Answer:

The distance between the pirate and the treasure can be found from the following relationship between ΔEAF and ΔABC;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex]

Step-by-step explanation:

From the question diagram, we have two triangles, ΔEAF and ΔABC;

The ratio of the lengths of the sides [tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex]

∠EAF and ∠BAC are vertical angles, therefore ∠EAF = ∠BAC

Therefore, ΔEAF and ΔABC are similar triangles by Side-Angle-Side, SAS, rule of similarity which states that two triangles that have ratios of a pair of their corresponding sides and the two sides also form equal angles within each triangle, then the two triangles are similar

Therefore, the ratio of the each pair of corresponding sides of the two triangles are equal

We have;

[tex]\overline{AE}[/tex]/[tex]\overline{AB}[/tex] =  [tex]\overline{FA}[/tex]/[tex]\overline{AC}[/tex] = 50 ft. /(100 ft.) =  [tex]\overline{EF}[/tex]/[tex]\overline{BC}[/tex] = [tex]\overline{EF}[/tex]/120 ft.

[tex]\overline{EF}[/tex] = 120 ft. × 50 ft./(100 ft.) = 60 ft.

[tex]\overline{EF}[/tex] = 60 ft.

The distance between the pirate and the treasure, [tex]\overline{EF}[/tex] = 60 ft.

PLS, I NEED HELP ASAP!!​

Answers

Answer:

3x+18

Step-by-step explanation:

3 times x

3 times 6

3x

18

3x+18

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

Find the sum:
(-10x^3 + 4x + 5) + (5x^2 - 2x)

O A. 10x^2 - 5x^2 + 2x
O B. -5x^2 + 5x^2 + 5
O C. -10x^3 + 5x + 5
D. -10x^3 + 5x^2 + 2x + 5

Answers

Answer:

its d..................

The sum of the expressions (-10x³ + 4x + 5) + (5x² - 2x) is -10x³ + 5x² + 2x + 5.

Thus, option (D) is correct.

In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical statement.

To find the sum of the given expressions (-10x³ + 4x + 5) and (5x² - 2x).

Simply combine like terms:

(-10x³ + 4x + 5) + (5x² - 2x)

Combining the like terms, we have:

-10x³ + 5x² + (4x - 2x) + 5

Simplifying further, we get:

-10x³ + 5x² + 2x + 5

Therefore, the sum is: [tex]-10x^3 + 5x^2 + 2x + 5[/tex].

Thus, option (D) is correct.

Learn more about Expression here:

https://brainly.com/question/34132400

#SPJ4

whowever answers any 2 I will follow them​

Answers

Answer:

1. x = 5 y = 6

2. x = 3 y =5

3. x = 2 y = 4

4. x = 2 y = 1/2

5. x = 6 y = 4

6. x = 2 y = 1

Step-by-step explanation:

i hope it helps u

r 2- 12r - 28 = 0[tex]r 2- 12r - 28 = 0[/tex]

Answers

Answer:

Step-by-step explanation:

r² - 12r - 28 = 0

r² - (14 - 2)r - 28 = 0

r² - 14r + 2r - 28 = 0

r ( r - 14 ) + 2 ( r - 14 ) = 0

( r - 14) ( r + 2 ) = 0

Either

r - 14 = 0

r = 14

or

r + 2 = 0

r = -2

therefore r = - 2 or 14

What is the area of this problem below

Answers

Answer:

Therefore the area of the rectangle is

[tex]525in^{2} [/tex]

The percentage discount at a store is determined
using the table below.
Sale Discounts

Total Purchases
less than $50
$50 to $100
over $100
Discount
25%
30%
35%

Shamika bought 3 skirts that cost $25 each before the discount. What was her total after thediscount?
A. $45.00
B. $48.75
C. $52.50
D. $56.25

Answers

Answer:

The answer is C and please give me brainliet And a like!

Where the above parameters are given,  Shamika's total after the discount is $56.25. (Option D)

How to compute the above result

According to the table, if the total purchases are less than $50, the discount is 25%.

Shamika bought 3 skirts at $25 each, so her total purchase amount is 3 * $25 = $75.

Since $75 is less than $50, she qualifies for a 25% discount.

To calculate the discount, we multiply the total purchase amount by the discount rate  -

Discount = 25% of $75 = (25/100) * $75 = $18.75

To find her total after the discount, we subtract the discount from the total purchase amount  -

Total after discount = Total purchase amount - Discount

Total after discount = $75 - $18.75 = $56.25

Therefore, Shamika's total after the discount is $56.25. (Option D)

Learn more about discount  at:

https://brainly.com/question/12965533

#SPJ2

Susan has 2 five-dollar bills and 3 ten-dollar bills in her purse and 11 one-dollar bills in her pocket. How much money does she have in all

Answers

Answer:

51

Step-by-step explanation:

2*5=10

3*10=30

11*1=11

10+30+11

51

Answer:

She has $51

Step-by-step explanation:

You would do 10*3 = 30 since she has 3 tens. Then you would do 5*2 = 10 since she has 2 fives. And then you would do 11*1 = 11 since she has 11 ones. Then after you do that you would add all of them together so you would do 30+10+11 = $51

A label is placed around the juice box below, not including the bases. Determine the surface area of the label

Answers

Answer:

3 In²

Step-by-step explanation:

Talking about surface area, the total area of an object is taken into consideration.

NB: Kindly check the attached picture for the diagram of the 3D object.

In this question, the surface area has to be determined and we will have to take into consideration all the area of the 3D object given in the question.

Surface Area = 6 × k².

Surface area = 6 × ( 1.8 × 1.8) cm².

Surface Area = 19.44 cm².

The next thing to do here is to convert the cm² to in². Therefore, 19.44 cm² ------>  x in².

19.44 × 0.155 in² = 3 in².

Daniel has read 40​% of a book. He has 30 more pages to finish. How many pages are there in the​ book?

Answers

Answer:

75 Pages

Step-by-step explanation:

If he has 40% completed, it is 0.40 as a decimal.  We are trying to solve for the total number of pages in the book, or the whole.

part/whole = percent  

Let x = total number of pages in the book

30/x=0.40

x=30/0.40 = 75 pages in the book

A school has an aquarium in each room. Each aquarium has 2 catfish for every 3 angelfish. How many fish are in an aquarium that has 6 catfish?

Answers

2 x ? = 6 catfish. (?=3) so multiply everything by 3......3 x 3 = 9 angelfish!!

Answer:

15

Step-by-step explanation:

2:3 ratio

if there is 2 catfish in a tank, in order to reach 6 catfish, we need 3 tanks

therefore, 3*3=9, 9 is the amount of angel fish

6+9=15

Help!!!! please!!!! Ill give brainliest!!!

Answers

Answer:

a  

Step-by-step explanation:

hope this help u  and  hope u get a good grasde :}

Answer:

A) x < 9

Step-by-step explanation:

Here we have an open circle. Open circles are used for greater than signs (>) and less than signs (<).

Since we have an open circle, we can eliminate option C and option D.

Now, we look at the number line.

The point is at 9, and the line from the point is going towards the left (where the smaller numbers are.)

9 is greater than every number is going toward.

**Let x represent every number is going toward.**

Therefore, x < 9.

Which fraction is the same as 4/8

Answers

Answer:

1/2 I believe is you answer darling

SOMEONE PLS HELP ME , WILL MARK BRAINLIEST

Answers

Answer: 83.9 ft

Step-by-step explanation:

Tan40^degrees/1=x/100

x=100tan40^degrees

x=83.9 ft

Answer:

84 units

Step-by-step explanation:

Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
10
1
1
-10
5
30
9
-50

Answers

Answer:

y= -5x-5

Step-by-step explanation:

because m=y2-y1/x2-x1 and then you plug in one of the point to find the y intercept or b and the answer you should get is -5 for be so it ends up being y= -5x-5

1. $350 at 5% for 4 years

Answers

Answer:

425.43

Step-by-step explanation:

A = P(1+r)^n

A = 350(1.05)^4

What is 5 11/10 simplified

Answers

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

the base of a prism are right triangles with leg lengths of 7 inches and 5 inches. the prism height is 12 inches. what is the volume of the prism?
105 cubic inches
203 cubic inches
210 cubic inches
420 cubic inches

Answers

The volume formula is length x width x height. 7x5x12=420 cubic inches
Other Questions
Ill give points + brainalist please help!! Which sentence best completes this diagram? The French and Indian War resulted in all of the following EXCEPT: Which is TRUE of women's roles during World War II 6z^2 8z + 8 = 0sole using the quadratic formula Promoters and propaganda made moving to the Pacific Northwest a trend known asWest Coast Fever.the Northwest Rush.the Great Escape.Oregon Fever. what is 9/-2 as an equivalent fraction f(x) = 20x + 50 Please help. Find the surface area of the figure.22 m12 m5 m .Where do most Christians in East Africa live If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form I WILL GIVE BRAINLIST PLS HELPPPP ASAPPPWhat is the correct meaning of the word dictatorial?The country had always had a dictatorial government.A. dominantB. confrontationalC. constitutionalD. authoritarian Isaac has three types of coins in his pocket. There are two more quarters than dimes, and as many nickels as quarters and dimes together. The coins total $3.75. How many quarters, dimes, and nickels are in Isaac's pocket? Susan has 12 pizzas that she needs to divide equally among 7 classrooms.Which fraction shows how many pizzas each classroom should get? Why does Churchill believe an invasion of British soil is not likely to occur inthe near future? A. because the American troops had begun a counterattack on Germany B. because the enemy did not have enough foot soldiers to invade by groundC. because the British naval forces created a strong barrier in the oceanD. because the enemy could not mount a successful air attack Which of the karyotypes shown is from a normal female? The graph of f(x) = 2x^2 3x + 5 will be translated 8 units down, producing the graph of q(x). What equation represents the new function, q(x)?Help me pls Type the correct answer in the box. Spell all words correctly.Which cost is dependent on production volume?_____ cost is dependent on production volume. Question 14An object is located 90 m in front of a lens. An image is produced 40 m away from thelens. What is the focal length of the lens?O 15.3 m0.025 mO 27.7 mO .011 m What makes someone a good hitter versus a poor hitter in baseball?