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3 years ago

Find an equation of the line that goes through the points (10,34) and (-1,10)

Mathematics

1 answer:

kotykmax [81]3 years ago

3 0

Answer:

Given points are ( 10 ,34 ) and ( -1 , 10)

Step-by-step explanation:

The equation of line is given by 

first we can find slope (m) 

= (y2 - y1) / ( x2 - x1)

= 34-10/10+1

 =24/11

Now the equation is

y - y1 = m ( x - x1) 

y - 10 = 24/11 ( x +11)

11 ( y - 10 ) = 24 (x + 11)

11y - 110 = 24x + 264

24x + 264 +110-11y =0

24x - 11y + 374 = 0

which is the required equation 

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It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does

anyanavicka [17]

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

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the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

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3 years ago

The perimeter of a rectangular is 58 cm. The length is 5 more than twice the width.

riadik2000 [5.3K]

<h3>Answer:</h3>

a) l = 5 + 2w

b) P = 2(l +w) = 2(5 +2w +w)

c) w = 8 cm, l = 21 cm

<h3>Explanation:</h3>

a) Using w for width, twice the width is 2w, and 5 more than that is 5+2w. This is your expression for l:

... l = 5 + 2w

b) The perimeter is the sum of the lengths of all sides, so is the sum of twice the length and twice the width.

... P = 2(l +w) = 2(5 +2w + w) . . . . substituting for l using the expression of (a)

c) Substituting the given perimeter, we have ...

... 58 = 2(5 +3w) = 10 + 6w . . . . . collect terms, eliminate parentheses

... 48 = 6w . . . . . . . . . . . . . . . . . . subtract 10

... 8 = w . . . . . . . . divide by 6

... l = 5 + 2·8 = 21 . . . . . find length using the formula for it

Dimensions are in centimeters, so we can write the solution as ...

width = 8 cm
length = 21 cm

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4 years ago