Answer:
x +2y +4z = 27
Step-by-step explanation:
The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...
x +2y +4z = constant
This equation is satisfied for every point on the line, so we have ...
(3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z
3 +2t +2t +24 -4t = constant
27 = constant
The equation of the desired plane is ...
x +2y +4z = 27
The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.
When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).
Then the equation of the plane is given by
(2, 4, 8) • (x - 3, y - 0, z - 6) = 0
2 (x - 3) + 4y + 8 (z - 6) = 0
2x + 4y + 8z = 54
or
x + 2y + 4z = 27
Plz I need help
......................
Answer:
B. (0, -4) and (4, -4)
Step-by-step explanation:
The solutions are the points of intersection of the circle and the parabola.
(0, -4) and (4, -4)
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
E
Step-by-step explanation:
1+2+2+1
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex]. To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .
[tex]f(x)=y[/tex]
[tex](x)=x[/tex]
x-intercept
To find the x-intercept(s), substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex] .
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]
[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]
[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]
[tex]=0=10x^3-80x^2+65x+525[/tex]
[tex]=10x^3-80x^2+65x+525=0[/tex]
[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]
[tex]\bold{x\approx \:-1.99007\dots}[/tex]
y-intercept
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]
[tex]=y=0-0+0-\left(-52.5\right)[/tex]
[tex]=0-0+0+52.5[/tex]
[tex]\bold{y=52.5}[/tex]
Using the following image, solve the problems below given that M is the midpoint of VW.
If you are using a screen-reader, please consult your instructor for assistance.Using your setup, what are the values of x, VM, MW, and VW?
The midpoint of a line segment divides the line segment into equal halves.
The value of x is 4The value of VM and MW is 15The value of VW is 30Point M is the midpoint of line segment VW.
So, we have:
[tex]VM = MW[/tex]
Substitute known values
[tex]4x - 1= 3x+3[/tex]
Collect like terms
[tex]4x - 3x = 1 + 3[/tex]
Evaluate like terms
[tex]x = 4[/tex]
Hence, the value of x is 4
The expression for VM is:
[tex]VM = 4x - 1[/tex]
So, we have:
[tex]VM = 4(4) - 1[/tex]
[tex]VM = 15[/tex]
Hence, the value of VM and MW is 15
The length of VW is the sum of both lengths.
So, we have:
[tex]VW = 15 + 15[/tex]
[tex]VW = 30[/tex]
Hence, the value of VW is 30
Read more about midpoints at
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A bag of marbles has 5 blue marbles, 3 red marbles, and 6 yellow marbles. A marble is drawn from the bag at random. How many possible outcomes are there? O 3 0 5 O 6 O 14
Answer:
I think it would be 14 I hope it is right and it helps
if the telephone was invented in 1876 how old was it in 1991 how long had it been around
Answer:
115 Years Old
Step-by-step explanation:
1991-1876 = 115
Help me please I don’t wanna fair math
Step-by-step explanation:
To find the equation you must first find the gradient and also look for the points on the graph.
I see point ( 0, 2) and point (4, 1)
Hence first find the gradient before equation
the gradient = y2-y1/x2-x1
y2 = 1
y1 = 2
x2 = 4
X1 =0
if you put in the values it will look like
1-2/4-0
-1/4
the gradient = -1/4
So for the equation the formula is
remember m is the gradient
y - y1 = m ( x - x1 )
so put in the value from only one point so you can choose either (0,2 ) or (4,1 )
I will go with (4, 1)
y - y1 = m ( x - x1 )
y - 1 = m ( x - 4 )
y -1 = -1/4 ( x - 4)
4 ( y-1) = -1(x-4)
4y- 4 = -1x +4
4y - 4 -4 = -1x
4y -8= -1x
4y + 1x -8 = 0
this is the equation.
thanks and good luck.
Please help………………………
Answer:
= 180
y = 34
is the answer
the cost of a popsicle at the snack stand is $0.75 let p represent the number of popsicles and c represent total cost use an equation to represent the relationship between the numbers of popsicles bought and the total cost
Answer:
0.75p=c
Step-by-step explanation:
using guassion elimination metheed x+2y-3y=11,3x+2y+z=1, 2x+y-5z=11
what do the widths of the bars in an energy pyramid represent?
Answer:
it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong
The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
What is a energy pyramid?It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.
When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.
Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.
Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
Learn more about the energy pyramid here:
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Sammy factored the polynomial x2 + x - 6. She came up with the factors of
(x-3) and (x-2). Describe and correct the error.
Answer:
(x+3) and (x-2) are the correct factors
Step-by-step explanation:
If we expand (x-3)(x-2), we see that it equates to x²-5x+6, which is not what we want. The correct factors would be (x+3)(x-2) since the middle term's coefficient becomes 1 as 3-2=1 whereas -3-2=-5.
PLS HELP FAST!!
During a snowstorm, Lucy tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 5 hours and then started again at a constant rate of 1 inch per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Lucy collected.
Draco runs a rate of 8 miles in 2.5 hours, how
fast does Draco run?
3.2 mile per hour
8/ 3.2
Helppppppppppppp helppppppppppppp
Answer:
Should be the first answer, x=5
Step-by-step explanation:
This would flip the graph and the square would land on top of where it currently is.
DUE TODAY PLZ HELP!!
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
The solution to the system of equations expressed as a coordinate point is [tex](x.y)=(-1,1)[/tex]
To solve the system
[tex]3x + y = -2\\y = 2x + 3[/tex]
Note that [tex]y[/tex] is already made subject of formula in [tex]y = 2x + 3[/tex]. So substitute the value for [tex]y[/tex] into [tex]3x + y = -2[/tex] to eliminate [tex]y[/tex] and leave us with an equation with [tex]x[/tex]
[tex]3x + y = -2\\3x + (2x+3) = -2\\3x+2x+3=-2\\3x+2x=-2-3\\5x=-5\\\frac{5x}{5}=\frac{-5}{5}\\x=-1[/tex]
Substitute this value of [tex]x[/tex] into [tex]y = 2x + 3[/tex] to get the value of [tex]y[/tex]
[tex]y = 2(-1) + 3\\y=-2+3\\y=1[/tex]
The solutions are [tex]x=-1,y=1[/tex], or expressed as a coordinate point
[tex](x.y)=(-1,1)[/tex]
Learn more about systems of equations here: https://brainly.com/question/16763389
Salaar, Waleed and Muazzam share $ 256. Waleed;s share is four times as much as Salaar. And Salaar's share is one-third of muazzam's. How much is each of their share?
Answer:
S 32, W 128, M 96
Step-by-step explanation:
W = 4S
S = 1/3M, or 3S = M
S + W + M = 256
Substitute
S + 4S + 3S = 256
8S = 256, S = 32
S = 32
W = 4S = 128
M = 3S = 96
A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?
Find the number of meters a speed skater and a cheetah travel in 1 second.
A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.
How do I subtract fractions? Please explain step by step to get marked as brainliest
Answer: Here I hope this helps!
Step-by-step explanation:
For example lets work with this fraction
[tex]\frac{6}{5} -\frac{3}{7}[/tex]
First you need to find a common denominator. (The number at the bottom of the fraction always.)
Multiply until you get a number both denominators go into.
For this it would be 35.
[tex]\frac{6}{5} -\frac{3}{7}[/tex]
5x7=35 7x5=35
You then have to do the same to the top as you did the bottom.
So multiply your numerators (number at the top) the same number as you did to the denominator below it.
[tex]\frac{6}{5} -\frac{3}{7}[/tex]
So 6x7=42.
And 3x5=15
You then subtract the numerators.
42-15=27
So now you have [tex]\frac{27}{35}[/tex]
[tex]\frac{6}{5} -\frac{3}{7}[/tex] =[tex]\frac{27}{35}[/tex]
Hope this helps! Have a great day!!
Divide.
1585 ÷ 25
63
6312
6325
63710
Answer:
The answer is 63 2/5
Step-by-step explanation:
Converting to mixed numbers divide 317 by 5.
5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.
The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.
Mrs. Baca uses a phone card to call a relative in Colombia, It cost her 45 cents to talk for 15 minutes. Choose True or False for each statement.
A. For 45 cents, Mrs. Baca can talk for 3 minutes. True or False.
B. The call rate is 3 cents per minute. True or False.
C. The call rate can represent by the ratio 445:15. True or False.
D. Divide 75 by 15 to find the number of minutes Mrs. Baca can talk. True or False.
Answer:
A: False
B: True
C: False
D: False
Hope This Helps!!!
What is the Domain and Range of the relation shown in the table? x y 8 -4 6 -2 4 3 2 6
Answer:domain: {2,3,4,7} range: {0, 5, 9, 32}
Step-by-step explanation:
The domain is the set of all the values of x x . The range is the set of all the values of y y .
One positive integer is 5 times another positive integer and their product is 320. What are the positive integers?
Which coast less per bag 18 tea bags for 2.70 or 64 tea bags for 9.28
Answer:
64 tea bags for 9.28
Step-by-step explanation:
The store Skate4you buys skateboards from a manufacturer at a wholesale price of $57. The store's markup
is 150%. Calculate the amount of markup. What is the retail (selling) price for a skateboard from Skate4you?
Answer:
$85.50
Step-by-step explanation:
57 x 1.5 = 85.5
Need help asap please !!!
Which of the following is a rational number? (5 points)
22, 23, 24, 25
оа
22
Oь
V24
d
25
Answer:
d. √25 is a rational number
solve the sinusoidal equation:
5sin(3x)-1=3
Answer:
[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]
Step-by-step explanation:
[tex]5sin(3x)-1=3[/tex]
[tex]5sin(3x)=4[/tex]
[tex]sin(3x)=\frac{4}{5}[/tex]
[tex]3x=0.92729521+2\pi n,2.21429743+2\pi n[/tex]
[tex]x=0.3090984+\frac{2\pi n}{3},0.73809914+\frac{2\pi n}{3}[/tex]
Which, if any, of the following would not generate a sphere?
A. Rotating a circle 180° about its diameter
B. Rotating a semicircle 360° about its diameter
C. Rotating a circle 360° about any point on the circle
D. All of the above would generate a sphere
Answer:
i think D. All of the above would generate a sphere is answer
[tex] \frac{8}{20} < > = \frac{7}{13} [/tex]
Compare these factions
Answer:
<
Step-by-step explanation:
Good Question!
8/20=4/10=2/5=0.4
7/13= lcm of 5 and 13 is 75.
26/75 [<] 35/75
:)
Answer: < less than
Step-by-step explanation:
1. Find LCM of 20 and 13.
20: 20,40,60,80,100,120,140,160,180,200,220,240,260,280
13: 13, 26, 39, 52, 65, 78, 91, 104, 107, 110 ...... 234, 247, 260
The LCM is 260.
2. 20*13 = 260 13*20=260
therefore we need to multiply the numerator by those 13 and 20.
8*13 = 104 7*20 = 140
3. compare Fractions:
(104/260) < (140/260)