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anzhelika [568]
3 years ago
14

Write a system of linear equations for the graph below

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

y = -3x + 3

y=\frac{1}{3}x-7

Step-by-step explanation:

Slope of a line passing through two points (x_1, y_1) and (x_2, y_2) is determined by the formula,

Slope = \frac{(y_2-y_1)}{(x_2-x_1)}

If these points are (0, 3) and (3, -6),

Slope of the line passing through these lines = \frac{3+6}{0-3} = (-3)

Equation of the line which passes through (0, 3) and slope = (-3),

y - y' = m(x - x')

y - 3 = (-3)(x- 0)

y - 3 = -3x

y = -3x + 3

Now slope of another line that passes through (3, -6) and (0, -7),

m' = \frac{(-6+7)}{(3-0)}

m' = \frac{1}{3}

Equation of the line that passes through (0, -7) and slope = \frac{1}{3}

y - (-7) = \frac{1}{3}(x-0)

y + 7 = \frac{1}{3}x

y = \frac{1}{3}x-7

Therefore, system of linear equations are,

y = -3x + 3

y=\frac{1}{3}x-7

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A shop has a 3 for 2 offer on chocolate bars The normal price of a chocolate bar is 72p Sian gets 3 chocolate bars from the shop
Agata [3.3K]

Answer:

1.44 pounds

Step-by-step explanation:

From the above question, we are told that:

The shop has 3 for 2 offer on chocolate bars going on .This means a customer can buy 2 chocolates get 1 free, for the price of 2 chocolates, a customer can get 3 chocolates.

If the price of 1 chocolate bar = 72p

2 chocolate bars =

72p × 2

= 144p

Hence, Sian spends 144p

We are asked to convert our answer to pounds

The symbol p represent pence in money form

Hence,

100p(pence) = 1 pound

144p(pence) = x

100p × x = 144p × 1

x = 144p/100p

x = 1.44 pounds

Therefore, Sian spends 1.44 pounds

7 0
3 years ago
If points N, U, and T are collinear, name all the segments they determine.
nexus9112 [7]
Collinear=On the same line

N-U

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I believe that is what this questions is asking. :)
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3 years ago
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7. 3x +1 =5x simplified​
enot [183]

Step-by-step explanation:

3x + 1 = 5x

Bringing like terms on one side

1 = 5x - 3x

1 = 2x

1/2 = x

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3 years ago
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Simplify. Express your answer as a single term, without a denominator. t0u/tu
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What ere the coordinates of the point on the directed line segment from (-1,7) to (7,7) that partitions the segment into a ratio
djverab [1.8K]

Answer:

(\frac{37}{11},\frac{77}{11}  )

Step-by-step explanation:

Given two points are (-1,7) and (7,7).

We are told to find a point which is in between them at a ratio of 6:5.

Formula for calculating a point at distance of ratio m:n is given by

(\frac{mx2+nx1}{m+n} ,\frac{my2+ny1}{m+n} )

where (x1,y1),(x2,y2) are the inital and final points.

(x1,y1)=(-1,7)\\\\(x2,y2)=(7,7)

also m:n=6:5 ,

by substituting all the values we get,

(\frac{6*7+5*-1}{11} ,\frac{6*7+5*7}{11} )

(\frac{37}{11},\frac{77}{11}  )

5 0
3 years ago
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