Answer:
The equation of required line is: [tex]\mathbf{x+y=5}[/tex]
Step-by-step explanation:
We need to find an equation of the line that passes through the point (2,3) and is parallel to the line x+y=4
For finding an equation of line, we need to find slope and y-intercept of the line.
Finding slope:
If the lines are parallel their slope is same
We are given: x+y=4
Writing in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
[tex]x+y=4\\y=-x+4[/tex]
Comparing [tex]y=-x+4[/tex] with [tex]y=mx+b[/tex] the slope m is -1
So, slope of given line is -1
It is parallel with required line, so they have same slope.
The slope of required line is m=-1
Finding y-intercept
Using slope m=-1 and point(2,3) we can find y-intercept
Using slope-intercept form: [tex]y=mx+b[/tex]
[tex]y=mx+b\\3=-1(2)+b\\3=-2+b\\b=3+2\\b=5[/tex]
So, y-intercept is: b=5
The equation of required line having slope m=-1 and y-intercept b = 5 is
[tex]y=mx+b\\y=-1x+5\\y=-x+5\\x+y=5[/tex]
So, equation of required line is: [tex]\mathbf{x+y=5}[/tex]
The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y = -x + 5
Two equations are parallel if they have equal slope
For the equation x + y = 4
Rewrite the equation in the form y = mx + c
y = -x + 4
Compare y = -x + 4 with y = mx + c
The slope, m = -1
The equation parallel to x + y = 4 will also have a slope, m = -1
The line passes through the point (2, 3)
That is, x₁ = 2, y₁ = 3
The point-slope form of the equation of a line is:
y - y₁ = m(x - x₁)
Substitute x₁ = 2, y₁ = 3 into y - y₁ = m(x - x₁)
y - 3 = -1(x - 2)
y - 3 = -x + 2
y = -x + 2 + 3
y = -x + 5
The equation of the line that passes through the point (2,3) and is parallel to the line x+y=4 is y = -x + 5
Learn more here: https://brainly.com/question/19484034
14) What does a correlation coefficient of r = -0.01 imply about the graph
of a data set? Select all that apply.
Generally, the slope is positive.
Generally, the slope is negative.
A linear model is a good fit for the data.
A linear model is not a good fit for the data
Answer:
Step-by-step explanation:
a generally is postive
c a linear model is a good fit
a bowling alley charges $7 for each game, plus a one time shoe rental charge $9. write an expression for the coat of dollars, c and number of games played, in g
What is the rate of change of the function?
-3
-1/3
1/3
3
I will mark as Brainlist Please hurry!!
Answer:
3
Step-by-step explanation:
rise/run is how you find the slope and the slope is the ROC
Please help!!
(Question in the picture)
Which of the following functions represents the graph on
the left? (Hint: Plug in your x values from the previous
slide. Do they produce f(x)=0?)
O f(x) = (x-6)(x+2)
O f(x) = (x+6) (x - 2)
9514 1404 393
Answer:
f(x) = (x -6)(x +2)
Step-by-step explanation:
The graph shows the x-intercepts are -2 and +6. The factors will be binomials such that these values make the factors zero: (x +2) and (x -6).
f(x) = (x -6)(x +2)
Estimate 6 1/5 - 2 7/13
Answer:
4
Step-by-step explanation
what is the answer to 10x+18 when x=5.
Answer:
48
Step-by-step explanation:
3. Find the measure of the smallest
angle. Explain.
(8x - 2)
(7x + 7)
(5x - 5)
hi i need to know if this is a function...
Answer:
i dont think so
Step-by-step explanation:
Find the measure of <2
Answer
37°
Step-by-step explanation:
90°-53°=37°
how many pools can dave clean in 10 hours if he can clean pools at a constant rate of 3/5 pools/hour
Answer: so the answer is 60/5
Step-by-step explanation: first you get 3/5 and times that by 10 3/5 3/5x5 = 150/5 150x2 300/5 you can simply that to 60/5
I’m so sorry if I got this wrong
Solve this: (-8a)×(-3b)=
Answer:
24ab
Step-by-step explanation:
Take them apart:
-8*a *-3*b
-8*-3 * a*b
24 * ab
24ab
Hope this helps plz hit the crown xD
Answer:
36C
Step-by-step explanation:
Because first off multiply 8x3 which equals 36 then two negatives always make a positive and a and b next is a c so the answer is 36C
4x-3y=9
x-3y=6 solve the following systems of equations by graphing
The solution of the systems of equations is (1, -1,667).
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given that, a system of equations, we need to solve them graphically,
The equation are =
4x-3y = 9....(i)
x-3y = 6....(ii)
To solve by graphically, we will first plot the graph,
Finding the coordinates for same,
Equation (i)
4x-3y = 9
Put x = 0,
y = -3
a) (0, -3)
Put x = 3,
y = 1
b) (3, 1)
Equation (ii)
x-3y = 6
Put x = 0,
y = -2
c) (0, -2)
Put x = 3,
y = -1
d) (3, -1)
Therefore, we get the coordinates of the equations, now when we plot the graph, both the lines will intersect at a point and that point will be the solution of the systems of equations,
The lines are intersecting at (1, -1,667).
Hence, the solution of the systems of equations is (1, -1,667).
Learn more about systems of equations, click;
https://brainly.com/question/90105
#SPJ1
Can you help me with this?
Why are the solutions to the proportions StartFraction 50 over x EndFraction = StartFraction 10 over 20 EndFraction and StartFraction 10 over 50 EndFraction = StartFraction 20 over x EndFraction the same? because both result in the equation 20 x = 500, which simplifies to x = 25 because both result in the equation 20 x = 500, which simplifies to x = 250 because both result in the equation 10 x = 1,000, which simplifies to x = 10 because both result in the equation 10 x = 1,000, which simplifies to x = 100
Answer:
because both result in the equation 10 x = 1,000, which simplifies to x = 100
Step-by-step explanation:
50 / x = 10/20
Cross product
50 * 20 = x * 10
1000 = 10x
x = 1000 / 10
= 100
10/50 = 20/x
Cross product
10 * x = 50 * 20
10x = 1000
x = 1000/10
= 100
The answer is :
because both result in the equation 10 x = 1,000, which simplifies to x = 100
Answer: trump 2020 MAGA
Step-by-step explanation:
Por favor ayuden con este ejercicio de Geometría Analítica Se tiene un triángulo ABC, donde las coordenadas de sus vértices son A (6, -3) B (9, 7) y C (3, 4). Ubica las coordenadas, grafica el triángulo y determina su tipo considerando la medida de sus lados.
Answer:
Puesto que [tex]AB\neq BC\neq AC[/tex], entonces se trata de un triángulo escaleno.
Step-by-step explanation:
Procedemos a graficar el triángulo agregando los puntos y los lados correspondientes. Incluimos la construcción en la imagen adjunta abajo.
A continuación, calculamos los lados del triángulo a través del Teorema de Pitágoras:
AB
[tex]AB = \sqrt{(9-6)^{2}+[7-(-3)]^{2}}[/tex]
[tex]AB = \sqrt{109}[/tex]
BC
[tex]BC = \sqrt{(3-9)^{2}+(4-7)^{2}}[/tex]
[tex]BC = \sqrt{45}[/tex]
AC
[tex]AC = \sqrt{(3-6)^{2}+[4-(-3)]^{2}}[/tex]
[tex]AC = \sqrt{58}[/tex]
Puesto que [tex]AB\neq BC\neq AC[/tex], entonces se trata de un triángulo escaleno.
Find the total interest:
$930 at 4%
for 8/2 years
Answer:
297.60
Step-by-step explanation:
Answer: The answer is $148.80 in total intrest.
Step-by-step explanation: Remember, Intrest = principal x rate x time. Multiply 930, 0.04, and 8/2. The final answer is $148.80.
help me please i need
Answer:
3/4x+3-2x= −5 /4 x+3
Step-by-step explanation:
yw <3 IMAO
line AC has a length of 4 and line DE has a length of 2. describe the relationship in geometric terms
Answer:
AC and DE are parallel to each other, and DE is half the length of AC.
Step-by-step explanation:
Here is the answer from Plato. Hope this helps :)
Please help me, I don't understand
Answer:
hope this helps, happy learning!!!
Several paint mixtures are made by mixing blue paint and white paint. Paint Colors Blue Paint White Paint Mixture A 5 cups 12 cups Mixture B 6 cups 6 cups Mixture C 4 cups 12 cups Mixture D 5 cups 6 cups Which mixture has the lowest ratio of blue paint to white paint? mixture A mixture B mixture C mixture D
Answer:
c is right
Step-by-step explanation:
Answer:
It's C i just did it
Step-by-step explanation:
please help... i'm dying. the table shows the number of calories jane burns while exercising. How many calories would she burn for 29 minutes. Explain.
can you help me with this? 4
Answer:
88
Step-by-step explanation:
m<ACB is equal to m<ABC because when to split the triangle down the middle and reflect one half you would have the same open shape. So by knowing that, you add 46+46 to get 92. Also knowing a triangle is equal to 180, you would end up subtracting 92 from 180 to get 88.
hope this helps!
What is 15% of 82?
PLEASE HELP ME IT I DON'T KNOW IT
Answer: the answer is 12.3
Step-by-step explanation:
Just do 15/100(82)
On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip? 8 to 24 1 to 4 32 to 24 3 to 4
Answer:
1/4!
Step-by-step explanation:
8 + 24=32
32 ÷ 8 = 4
8x4=32
There is only one 8 so it would be 1/4
Hope this made sense :)
Answer:
The ration is 24:32, or 3:4
Step-by-step explanation:
I know you don't care about an explanation, and just want the answer, but I'll still explain it.
The total people on the trip are the number of kids+the number of adults. We get 32.
Now, the number of kids on the trip is 24 right? The ratio right now is 24:32. We can simplify this dividing the entire thing by 8, so the number isn't as big. Once we do that, we see that our answer is 3:4
Hope it helped
Have a great day
CAN SOMEONE HELP ME PLSSS
Answer:
Step-by-step explanation:
3 is the answer
the temperature in a town is -2.7c the temperature decreases 3c what is the new temperature
Answer:
The new temperature is -5.7 C.
Step-by-step explanation:
You just have to subtract 3 from -2.7.
-2.7 - 3 = -5.7
You have $84.25. You earn additional money by mowing lawns. Then you purchase a new pair of
shoes for $75.49 and have $63.76 left. How much money do you earn mowing, m, lawns? Write
an equation, then solve.
solve for n
5m+11n equals d
Answer:
n = d/11 - 5m/11
Step-by-step explanation:
Subtract 5m from both sides.
( 11n = d-5m )
divide each term by 11 then simplify.
which equation represents a line which is parallel to the line y=-2/3x-1
Answer:
Step-by-step explanation:
The first step is to get the given equation to look like the answers provided.
y = - 2/3 x - 1 multiply by 3
3y = -2x - 3 add 2x to both sides
3y +2x = - 3
Only the answer on the lower left looks the left side of the above equation.
2x + 3y = - 24 is your answer.