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3 years ago

Complete the equation of the line through (2, -2) and (4,1)

Mathematics

1 answer:

Ann [662]3 years ago

3 0

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

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Complete the equation, by supplying the missing exponent.<br> m•n2•m3= m 11n2

MaRussiya [10]

Given:

Consider the given equation is:

$m^?\cdot n^2\cdot m^3=m^{11}\cdot n^2$

To find:

The missing exponent.

Solution:

Let x be the missing exponent. Then the given equation can be written as

$m^x\cdot n^2\cdot m^3=m^{11}\cdot n^2$

It can be rewritten as:

$(m^x\cdot m^3)\cdot n^2=m^{11}\cdot n^2$

$m^{x+3}\cdot n^2=m^{11}\cdot n^2$ $[\because a^ma^n=a^{m+n}]$

On comparing the coefficient of m, we get

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$x=11-3$

$x=8$

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2 years ago

Eva estimate the 475 songs will fit on her MP3 player. The actual amount of songs that fit is 380. Find percent error

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3 years ago

Consider △RST and △RYX.

astra-53 [7]

Answer:

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i.e $\frac{RY}{RS}$ = $\frac{RX}{RT}$ = $\frac{XY}{TS}$

Step-by-step explanation:

Two or more shape or figures are similar when their sides and angles can be compared appropriately.

In the given figure, ΔRXY is within ΔRST. Since the two triangles are similar, then their length of sides can be compared in the form of required ratios.

So that by comparison,

$\frac{RY}{RS}$ = $\frac{RX}{RT}$ = $\frac{XY}{TS}$

Therefore, the correct option to the question is B.

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2 years ago

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