Ecuacion de la recta que pasa por el punto donde se cortan las rectas X+4Y=0 y X-3Y-7=0 y que tiene como pendiente -6
Answers
Answer:
La ecuación de la recta es [tex]y = -6\cdot x +23[/tex].
Step-by-step explanation:
Para construir la ecuación de la recta podemos utilizar un punto contenido en la recta y su pendiente. En primer punto, hallamos el punto con la resolución del siguiente sistema de ecuaciones lineales:
[tex]x+4\cdot y = 0[/tex] (1)
[tex]x-3\cdot y = 7[/tex] (2)
La solución del sistema de ecuaciones es [tex](x,y) = (4,-1)[/tex].
Por Geometría Analítica, sabemos que la Ecuación de la Recta en su forma explícita es:
[tex]y = m\cdot x + b[/tex] (3)
Donde:
[tex]x[/tex] - Variable independiente.
[tex]y[/tex] - Variable dependiente.
[tex]m[/tex] - Pendiente.
[tex]b[/tex] - Intercepto.
Si sabemos que [tex](x,y) = (4,-1)[/tex] y [tex]m = -6[/tex], entonces el intercepto de la recta es:
[tex]b = y-m\cdot x[/tex]
[tex]b = 23[/tex]
Ahora, la ecuación de la recta es [tex]y = -6\cdot x +23[/tex].
Related Questions
a race car is driving under the caution flag at 440 feet per second begins to accelerate at a constant rate after the warning flag. the distance traveled since the warning flag in feet is characterized by 30t^2+440t, where t is the time in seconds after the car starts accelerating again. How long will the car take to travel 150 feet?
Answers
Answer: [tex]\frac{1}{3}\ s[/tex]
Step-by-step explanation:
Given
Distance traveled is [tex]s=30t^2+440t[/tex]
for s=150 ft
[tex]\Rightarrow 30t^2+440t=150[/tex]
[tex]\Rightarrow 30t^2+440t-150=0\\\Rightarrow 3t^2+44t-15=0\\\Rightarrow (3t-1)(t+15)=0\\\Rightarrow t=\dfrac{1}{3}\ s[/tex]
Angela wants to use a one-sample zzz interval to estimate what proportion of employees at her large corporation are satisfied with their benefits. She plans on using a confidence level of 90\%90%90, percent, and she wants her margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
Answers
Answer:
Step-by-step explanation:
It's 271 on Khan Academy
The sample space size that Angela wants to use for the employees who are satisfied with their benefits is. 271
What is margin of error?In statistics, the margin of error is the level of inaccuracy in the findings of surveys using random samples. Less reliance on survey or poll results is indicated by higher statistical margins of error.
Given that,
[tex]\^p[/tex] = 0.5
1 - [tex]\^p[/tex] = 1 - 0.5= 0.5
margin of error = E = 5% = 0.05
At 90% confidence level
= 1 - 0.90 = 0.10
0.10/2 =0.05
Z/2 = 1.645 ( Using z table )
Sample size = n = (Z/2 / E)² x (1 - [tex]\^p[/tex])²
= (1.645 / 0.05)² * 0.5 x 0.5
=270.6
Sample size = 271
The required sample size is 271.
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what is the mean of this data set 8 +16 +10+21 +6 +13+8 +26
Answers
Steps:
The mean is the average. To find the mean(average) you need to add up all the numbers and divide by the total amount of numbers.
1.) 8 + 16 + 10 + 21 + 6 + 13 + 8 + 26 = 108
2.) 108/8 = 13.5
I would appreciate the brainliest if this was correct and helpful!
Sara and Dan left a 20% tip after having dinner at a restaurant. The amount of the tip was $5. Sara's dinner cost $15. Which equation can you use to find x, the cost of Dan's dinner?
Answers
Answer:
c
Step-by-step explanation:
A 2-month membership to the
gym costs $125. Jim would like
to be a member for 8
months. What is the total
amount he will pay for 8
months?
Answers
125•4= 500
Jim will pay $500 for 8 months of a gym membership
Which scatterplot shows a nonlinear association?
Answers
Answer:
B
Step-by-step explanation:
B shows a parabola, which is a quadratic equation, not a linear one.
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.
What is scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
here, we have,
we know that,
The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.
Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")
Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.
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What is the area of these
Answers
Answer:
g=130 h=22
Step-by-step explanation:
bxh÷2
hope this helps
WILL GIVE BRAINLIEST NEED ASAP
The following system of equations has exactly one (x, y) pair for its solution.
4x + 6y= 24
2x+y=8
If we add the two equations in the original system, we have 6x + 7y= 32.
Explain why the same (x, y) pair is also a solution to this equation. Use math and be
specific in your explanation!
Answers
y
y in
2
x
+
y
=
8
2x+y=8.
y
=
8
−
2
x
y=8−2x
2 Substitute
y
=
8
−
2
x
y=8−2x into
4
x
+
6
y
=
24
4x+6y=24.
−
8
x
+
48
=
24
−8x+48=24
3 Solve for
x
x in
−
8
x
+
48
=
24
−8x+48=24.
x
=
3
x=3
4 Substitute
x
=
3
x=3 into
y
=
8
−
2
x
y=8−2x.
y
=
2
y=2
5 Therefore,
x
=
3
y
=
2
x=3
y=2
look in comments to read it better but x=3 y=2 hope this helps :)
8(x + 7) - 12 = 0 can you solve the following inverse
Answers
Answer:-11/2
Step-by-step explanation:
Divide use estimation to check your answer
Answers
Answer:
4 remainder .43
Step-by-step explanation:
I NEED HELP THIS IS MY LASST ONE UNTIL
I CAN RESt I NEED HELP ON FIDING THE AREA IM GIVING BRAINLIST
Answers
Answer:
The answer is 24ft
Someone pls help me out
Answers
After the next 30 seconds it loses again half the heat so it‘s 25°C.
You can theoretically continue this forever. It‘s exponential decay.
HELPPME PLEASE ASAP i will give brainliest
Answers
You do 90-73 = 17
X = 17 degrees
Answer:
don't know but I think these is the answer =
17
Step-by-step explanation:
90 - 73 = 17
Gianna signed up for a streaming music service that costs $15 per month. The service
allows Gianna to listen to unlimited music, but if she wants to download songs for
offline listening, the service charges $1 per song. How much total money would
Gianna have to pay in a month in which she downloaded 20 songs? How much would
she have to pay if she downloaded s songs?
Total monthly cost for 20 songs:
Total monthly cost for s songs:
Answers
Answer:
35 :)
Step-by-step explanation:
15 which is the monthly payment plus the 20 songs
The difference of place values of 5's in 65512 is ?
Answers
Answer:
6 (5000, thousandths place) (500, hundreds place) 12
If I'm incorrect someone correct me, but overall hope this helps!
The difference of place values of 5's in, 65512 is 4500.
What is place value?Each digit value in a number is obtained as the place value.
The given number is , 65512
The 5 on the first place denotes the value 5000. While the 5 on the first place denotes the value 500.
The difference of place values of 5's in, 65512 is found as;
x=5000-500
x=4500
Hence,the difference of place values of 5's in, 65512 is 4500.
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Ella buys eggs and apples at the store.
She pays a total of $44.35.
She pays a total of $2.95 for the eggs.
She buys 6 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine xx, how much each bag of apples costs.
Answers
Answer:
6.9
Step-by-step explanation:
The total payment was 44.35 and Ella bought 6 bags of apples and eggs
eggs cost 2.95 so apples cost 44.35-2.95=41.4
lets call bags "x"
so
6x=41.4 (price)
divide both by 6
x=6.9
please help please p
Answers
Answer:
-0.4
Step-by-step explanation:
(3-5)/(1+4) = -0.4
Can you guys help me with this please it suppose to use the synthetic substitution or the remainder theorem.
Answers
Answer:
x=17554456775432209765443
help me with this question please!! no links!!
Answers
4 squared is 16
16•3.14= 50.24
A= 3.14(4)^2
:)
The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510<36 510<36 12>13 1 half is greater than 1 third 48>26 4 eighths is greater than 2 sixths 35>45
Answers
Answer:
[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4} <\frac{1}{6}[/tex]
[tex]\frac{5}{10}<\frac{3}{6}[/tex]
[tex]\frac{1}{2}>\frac{1}{3}[/tex]
[tex]\frac{4}{8}>\frac{2}{6}[/tex]
[tex]\frac{3}{5}>\frac{4}{5}[/tex]
Required
Select the unit fractions
If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. [tex]\frac{1}{2}[/tex] and not as an inequality i.e. [tex]\frac{3}{5}>\frac{4}{5}[/tex]
Given the format of the question, what is required of the question is to select all correct inequality.
[tex](a)[/tex] [tex]\frac{1}{4} <\frac{1}{6}[/tex]
Convert to decimals
[tex]0.25 < 0.167[/tex] ---- This is not true because [tex]0.25 > 0.167[/tex]
[tex](b)[/tex] [tex]\frac{5}{10}<\frac{3}{6}[/tex]
Convert to decimals
[tex]0.5 < 0.5[/tex] ---- This is not true because [tex]0.5 = 0.5[/tex]
[tex](c)[/tex] [tex]\frac{1}{2}>\frac{1}{3}[/tex]
Convert to decimals
[tex]0.5 > 0.33[/tex] ---- This is true
[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]
Convert to decimals
[tex]0.5 > 0.33[/tex] ---- This is true
[tex](e)[/tex] [tex]\frac{3}{5}>\frac{4}{5}[/tex]
[tex]0.6 > 0.8[/tex] --- This is not true because [tex]0.6 < 0.8[/tex]
So: the true inequality is:
[tex](d)[/tex] [tex]\frac{4}{8}>\frac{2}{6}[/tex]
Solve the system of linear equations by elimination -x+y=4;x+3y=4
Answers
Answer:
the solution is (-8, 4)
Step-by-step explanation:
Let's use the addition/subtraction method here to eliminate one variable:
-x+y=4
x+3y=4
Combining these two equations results in
4y = 8, so that y = 2. Substituting y = 2 into the second equation, we get:
x + 3(2) = 4, or x = -2.
Then the solution is (-8, 4)
3. The functions f and g are defined by
[tex] f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2[/tex]
[tex]g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4[/tex]
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.
Answers
ii) range is (6, infinity)
iii) range is (6,infinity)
b)
Cause the range of f doesn’t match any element of the domain of g
ANSWER ASAP PLEASEEE
Brenda took one of her friends out to lunch. The lunches cost $70 and she paid 10% sales tax. If Brenda left a 10% tip on the $70, how much in total did she pay?
Answers
Answer: $84
Steps:
70 * 10%
70 * 0.10 = $7 sales tax
70 * 10%
70 * 0.10 = $7 tip
$70 lunch cost + $7 sales tax + $7 tip = $84
Please helppp, its due today and I have a bunch of other stuff to do!! I would appreciate all the help
Answers
Answer:
Step by step
Step-by-step explanation:
1. 0x2=0+5=9
1x2=2+5=7
2x2=4+5=9
the open parts are 3x2=6+5=11
and 17 because 3+14=17
2. do more of random numbers with the equasion 2x+5 and x+14
Describe in your own words how graphing equations can help find the
solution to a system of equations?
Answers
Answer:
i think that if u can please redo this question it might help
Triangle TUV is shown. What is the measure of angle TVU?
259
18
V
Answers
7.) *
1 point
Does (0, 0) make the equation y
2x true?
Answers
Answer:
yes (0,0) does make the equation y
2x true?
Step-by-step explanation:
just trust me i wasnt
able to provide an example sorry but please give me 5 stars and name me brainliest
Find u and v ....
I need help
Answers
Which of the following statements best describes the data?
Answers
Answer:
Carlos accounts for more than 25% of the total strikeouts
Step-by-step explanation: Carlos scored 13 points so divide 13 by 37 to get the score Carlos makes up of the 6 people
13/37 = 0.35 or 35%
(The total number of points for all 6 people is 37)
Factorise this pleasee
x2− 7x
Answers
Step-by-step explanation:
take X common
x2-x7
X(2-7)
X(-5) Answer
It may helps
Answer:
x(x - 7)Step-by-step explanation:
x² - 7x = x*x - 7*x =x(x - 7)