1. Obtén la pendiente de las siguientes rectas, grafícalas y determina si las rectas L1 y L2, cuyas ecuaciones son 3x+4y-2=0 y 3x+4y+6=0, son paralelas o no.
Answers
Queremos obtener la pendiente de dos lineas dadas, y en base a eso, determinar si son paralelas o no.
Las pendientes son para ambas lineas igual a -3/4, como ambas lineas tienen la misma pendiente y diferente ordenada al origen, podemos concluir que son paralelas.
-----------------------------
Una línea en general se escribe como:
y = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
En este problema se nos dan las líneas:
3*x + 4*y - 2 = 0
3*x + 4*y + 6 = 0
Comencemos por reescribir esas líneas en la forma más general, para hacer esto, debemos aislar y en ambas ecuaciones:
y = (-3/4)*x + 2/4
y = (-3/4) - (6/4)
Aqui podemos ver que ambas pendientes son iguales a -3/4
Al final de la respuesta puedes ver el gráfico de ambas líneas.
Como ambas líneas tienen la misma pendiente, pero distintas ordenadas al origen, podemos concluir que son paralelas.
Esto mismo se puede observar en el gráfico de abajo.
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Related Questions
2y - 3y = 5 solve the equation check your solution
Answers
Answer:
y = -5
Step-by-step explanation:
-y = 5
y = -5
Check:
2(-5) - 3(-5) = 5
-10 + 15 = 5
5 = 5: Checkmark!
The length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches, find the dimensions of the rectangle
Answers
Answer:
length = 12
width = 9
Step-by-step explanation:
Let w= width of rectangle
length = w + 3
2w + 2(w + 3) = 42
2w + 2w + 6 = 42
4w = 36
w = 9 ( width of rectangle)
width = 9 inches
length = 9 + 3 = 12 inches
I need help with this
Answers
A 9-inch candle burns down in 12 hours. After how many hours will it have burned
3 3/8 inches?
Answers
Answer:
4.5
Step-by-step explanation:
Use a proportion.
3 3/8 = 3.375
9 inch is to 12 hours as 3.75 inches is to x hours.
9/12 = 3.375/x
3/4 = 3.375/x
3x = 4 * 3.375
x = 4 * 1.125
x = 4.5
Answer: 4.5 hours
Using rate if a 9-inch candle burns down in 12 hours, the amount of hours it have burned 3 ³/₈ inches is 4 ¹/₂ h
What is a rate?Rate is the amount per unit time of a substance
Since a 9-inch candle burns down in 12 hours. To determine after how many hours will it have burned 3 ³/₈ inches, we proceed as follows.
.
First, we calculate the rate at which it burns which is given as r = Length of candle/time
Since
Length of candle = 9 in andtime = 12 hoursSubstituting the values of the variables into the equation, we have that
r = Length of candle/time
r = 9 in/12 h
r = 3/4 in/h
To determine how many hours it would have burned 3 ³/₈ in, we have that
rate, r = Length/time
time = Length/rate
Since
Length = 3 ³/₈ in = 27/8 in andrate = 3/4 in/hSubstituting the values of the variables into the equation, we have that
time = Length/rate
= 27 in/8 ÷ 3/4 in/h
= 27/8 in × 4/3 h/in
= 9/2 h
= 4 ¹/₂ h
So, it will have burned for 4 ¹/₂ h
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What property is used to rewrite (9)(-8) as (9)(-1)(8)?
Answers
Answer:
The distributive property.
Help me please. You get brownies.
Answers
11. Liza earned some money delivering newspaper .She bought a
battery for $1.95, and gave her mother $30. She bought a ring
for $7.20, and then spent half of the remaining money on a radio.
If Liza has $38.50 left, how much money did she earn delivering
newspapers?
anonh the solution set.
Answers
Answer: $116.15
Step-by-step explanation:
We first would start with the last thing, the $38.50 Lisa has left! From reading the word problem, we can tell that she had another $38.50 she spent on a radio.She spends $7.20 (ring) + $1.95 (battery) before this and gives her mom $30.
All of these are subtractions from the initial amount:
x - 1.95 - 30.00 - 7.20 - 38.50 = 38.50
x - 77.65 = 38.50
x = $116.15
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What number comes after 2?
A. Red
B. 6-3
C. Orange
D. Joe Biden
Answers
Answer:
option b
6-3
which is 3
hope it helps
Answer:
number 3 comes after 2 put the full question if I got it wrong
A store is advertising that it offers a 14% discount had on everything purchased at the store. When Aiza (آئزہ) had paid $670.80 for her purchase, what was the originally marked price for her item (or items) in dollars?
A. 780
B. 1284.50
C. 701.60
D. 1089.00
Answers
Answer:
780
Step-by-step explanation:
A rectangle has an area of (4x+12) square units. Write Three multiplication expressions that can represent the product of the length and the width of the rectangle.
Answers
Answer:
This is easy to do on your own. Just think of 3 numbers, put them in for x, solve, and show your work.
Step-by-step explanation:
A large orange weighs 11/16 pound. A small orange weighs 2/8 pound. How much more does the large orange weigh?
Answers
Answer:
7/16 pounds
Step-by-step explanation:
Change the small orange to have the same denominator by multiplying by a magic 1 or [tex]\frac{2}{2}[/tex].
1. [tex]\frac{2}{8}[/tex]·[tex]\frac{2}{2}[/tex][tex]=\frac{4}{16}[/tex]
2. Subtract Fractions
[tex]\frac{11}{16}[/tex]-[tex]\frac{4}{16}[/tex]=[tex]\frac{7}{16}[/tex]
5/11 as a ratio 4 decimal places
Answers
5 : 8=
5/8
Step Two: Divide the numerator by the denominator
5/8
=5÷8
5÷8=0.625
pls help i'll give brainliest
Answers
Answer:m^3/2
Step-by-step explanation: You add the exponents when you multiply.
Find the missing angle
Answers
Answer:
58 degree
Step-by-step explanation:
the total degree of the three interior angles together of a triangle = 180
here 2 sides are given so to find the 3rd angle we can just add the other 2 angles and subtract it from 180
so it'll be
[tex]65 + 57 = 122[/tex]
[tex]180 - 122 = 58 \: degrees[/tex]
answer = 58 degree
A airplane flies 3 hours. The distance is 1200 miles. What is the speed?
Answers
Answer:
400 mph
Step-by-step explanation:
1200/3 = 400 miles per hour
Three friends all have ages that are consecutive integers. The sum of their ages is 48. what is the age of the eldest friend?
A. 16 years old
B. 15 years old
C. 17 years old
D. 20 years old
Answers
Answer:
C.17 years old
Step-by-step explanation:
consecutive means that they come after each other
17+16+15=48
Does anybody know this ???
Answers
Answer: E
Step-by-step explanation: An integer is a whole number ( that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and -3. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.
Can't remember how we did it in 7th grade now these 9th graders are doing it and I don't remember.
Any ways to help?
Answers
using opposite angle theorem.
15°
Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
29
28
45
19
Answers
Answer:
29
Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]
solve for f(5). f(x)=x^2-2x
Answers
f(5)=25-10
f(5)=15
15!
Answer:
Exact form:
x = √2, −√ 2
Demi cal form:
x=1.41421356…, −1.41421356…
plz help me with this
Answers
Answer:
12
Step-by-step explanation:
Perform the indicated operations. 8/12÷11/15 • -1/4
A.-5/22
B.5/22
C.-11/90
D.11/90
Others:______
Answers
Answer:
A.-5/22
Step-by-step explanation:
[tex]\frac{8}{12} /\frac{11}{55} *-1/4 = -5/22[/tex]
plug it into a calculator.
Please tall me if you have any other questions.
Have a nice day! :-)
For functions f and g defined by f(x) = x² + 7 and g(x) = x - 3, what is the value of f(g(5))?
Answers
f(g(5)) = f(2) = 2^2 + 7 = 11
The value of f(g(5)) is 11.
HELP MEEEE !! I’m stuck
Answers
Answer:
10
Step-by-step explanation:
because it is what it is i just did the math
Solve for x not y please I am stuck
Answers
Answer:
x=2, x=1
Step-by-step explanation:
let's solve :
[tex] {4}^{2x} - 20(4 {}^{x} ) + 64 = 0[/tex]let's take
[tex]2 {}^{2x} = y[/tex]
now,
[tex]{(2{}^{2x} )} {}^{2} - 20(2) {}^{2x} + 64 = 0[/tex][tex]y {}^{2} - 20y + 64 = 0[/tex][tex]y {}^{2} - 16y - 4y + 64 = 0[/tex][tex]y(y - 16) - 4( - 16) = 0[/tex][tex](y - 16) (y - 4) = 0[/tex][tex]y = 16 \: \: or \: \: y = 4[/tex]if y = 16, then :
[tex]2 {}^{2x} = 16[/tex][tex] {2}^{2x} = 2 {}^{4} [/tex][tex]2x = 4[/tex][tex]x = 2[/tex]and if y = 4 :
[tex] {2}^{2x} = 4[/tex][tex] {2}^{2x} = {2}^{2} [/tex][tex]2x = 2[/tex][tex]x = 1[/texhence, value of x = 1 or x = 2
. Give the scale factor of figure A to figure B.
3.
10
6
4
18
B
A
7.2
15
11 م
Answers
Answer:
SF = 2/5
Step-by-step explanation:
The side on figure A which has the 10 is between angles with one mark and 2
The side on figure B which has the 4 is between angles with one mark and 2
The scale factor is what we multiply 10 by to get 4
10 * SF = 4
Divide each side by 10
10 * SF /10= 4/1-
SF = 4/10
SF = 2/5
tom asks at an average speed of 80km per hour for 3 hours and 45 minutes. work out how many kilometers Tim drives.
Answers
Answer: 300km
Step-by-step explanation:
The question is how long will he go in 3 hours and 45 minutes.
3 hours and 45 minutes is equal to 3.75 house 45/60=3/4 75/100=3/4
So multiply 3.75 by 80 for 300
Hope this helps!
Please mark Brainliest!
What is the number for pi?
Answers
Answer:
the answer is 3.1415926535
Step-by-step explanation: I hope some of this helps I didn't know how many numbers you needed
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 or just 3.14 (talk about memory )
Step-by-step explanation:
Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?
a.
$336.92
b.
$467.23
c.
$788.85
d.
$1125.77
Answers
Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the information given,
We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:
[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]
where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).
PMT.
[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]
= $338.48
To pay off the balance in 9 months, Sarah needs to increase her monthly payment.
Let's call this additional payment x.
Then, we have:
[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]
Solving for x, we get:
x = $1125.77
Therefore,
Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.
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could someone please help answer this, thank you, please no spam, will give brainliest, (homework help)!
Answers
Answer:
The answer would be W < - 18