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Ivahew [28]
3 years ago
7

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

ected during the two days.
{12x + 4y = 15232x + 12y = 42012x + 4y = 15232x + 12y = 420

In the equations, xx represents the cost of a chicken lunch and yy represents the cost of a vegetarian lunch. Which is the cost of the vegetarian lunch?


$9


$11


$13


$21
Mathematics
1 answer:
dimaraw [331]3 years ago
8 0
<span>$21 is the best answer  </span>
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a farmer is putting up a rectangular pasture. it measures 320 feet by 335 feet it costs $8 per foot, how much will it cost
Anvisha [2.4K]

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Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).
Licemer1 [7]

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB =\frac{1k}{2k}= ratio 1:2

now

finding p

for this

(m_1,m_2)=(1,2)

For AB

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

now by using division formula

(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)

similarly

Q divides AB

Ratio of AQ and QB =\frac{2k}{1k}= ratio 2:1

(x_1,y_1)=(1,8)

(x_2,y_2)=(4,2)

(m_1,m_2)=(2,1)

by using division formula

(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})

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3 years ago
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