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
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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
Estimate 6 1/5 - 2 7/13
Answer:
4
Step-by-step explanation
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:
Can you help me with this?
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 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!
hi i need to know if this is a function...
Answer:
i dont think so
Step-by-step explanation:
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
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)
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 measure of <2
Answer
37°
Step-by-step explanation:
90°-53°=37°
Please help me, I don't understand
Answer:
hope this helps, happy learning!!!
CAN SOMEONE HELP ME PLSSS
Answer:
Step-by-step explanation:
3 is the answer
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!!
(Question in the picture)
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.
help me please i need
Answer:
3/4x+3-2x= −5 /4 x+3
Step-by-step explanation:
yw <3 IMAO
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.
what is the answer to 10x+18 when x=5.
Answer:
48
Step-by-step explanation:
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.
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.
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
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
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.
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
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:
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)
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).
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3. Find the measure of the smallest
angle. Explain.
(8x - 2)
(7x + 7)
(5x - 5)
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