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san4es73 [151]
3 years ago
6

A line passes through (1,1) , (-2,4) , and (6,n) . Find the value of n.

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0
General\ formula\ for\ line:\\y=ax+b\\\\ Passes\ through\ (1,1)\ (-2,4)\\\\\left \{ {{1=1a+b\ |\cdot2} \atop {4=-2a+b}} \right. \\\\ \left \{ {{2=2a+2b} \atop {4=-2a+b}} \right. \\+-----\\\\6=3b\ \ |:3\\b=2\\\\1=a+2\\1-2=a\\a=-1\\\\y=-x+2\\\\Passes\ through\ (6,n):\\\\n=-6+2\\\\\boxed{n=-4}
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X + y = 4<br> 3x + 4y= 14
Vaselesa [24]
Y = 4 - x
3x + 4(4-x) = 14
3x + 16 -4x = 14
-x = -2
x = 2
y = 2
7 0
3 years ago
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Woodland Bicycles makes two models of off-road bicycles: the Explorer, which sells for $250, and the Grande Expedition, which se
elena-s [515]

Answer:


Step-by-step explanation:

Let X be number of woodland bicyles and Y grande expedition

Our objective is to maximize profit

Z = 250x+350Y

Constraints are:  2x+3y<450 and

x+y<375

(given)

Solution gives negative y. Hence intersecting point is not within constraint.

So choices satisfying the constraints would be min of 225, 375 for x and min of 150,375 for x

i.e x=225 and y =150

To maximize revenue 225 Woodland and 150 Grande to be produced


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3 years ago
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Find the area of the sector in terms of pi. 170 6 Area = [?] T
Harlamova29_29 [7]

Answer:

see the attachment photo!

8 0
2 years ago
Mabel spends 444 hours to edit a 333 minute long video. She edits at a constant rat\\\\\\\\\\\\\\e. How long does Mabel spend to
mestny [16]
Mabel spends 4 hours editing a 3 minute video. she edits at a constant rate. how long does mabel spend to edit a 9 minute video?

she spends 4 hours on a 3 minute video
so there are 60 minutes in an hour
4 hours with 60 minutes- 4x60=240
so she spent 240 minutes on a 3 minute video
3 divided by 240
3/240= 0.0125
so her constant rate is 0.0125 minutes an hour
so divide 9 minutes by her constant rate
9/0.0125 = 720
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7 0
3 years ago
A triangular frame has sides that measure 15'-7",20'-4" and 26'-2". What is the total length of three sides?
tatuchka [14]

we know that

1\ foot=12\ inches

1'=12"

<u>Part 1) </u>

we know that

side 1=15'-7"

side 2=20'-4"

side 3=26'-2"

To find the total length of three sides sum the three sides

so

total length=side 1+side 2 +side 3

substitute

total length=15'-7"+20'-4"+26'-2"

total length=(15'+20'+26')+(7"+4"+2")

total length=(61')+(13")

remember that

12"=1'

13"=12"+1"=1'+1"

substitute

total length=(61')+(1'+1")

total length=(62')+(1")---------> 62'-1"

therefore

<u>the answer is</u>

the total length of three sides is 62'-1"

5 0
3 years ago
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