3 years ago

Work out the m and c for the line 3y+2x=-1

Mathematics

1 answer:

Mademuasel [1]3 years ago

8 0

Answer:

m = -2/3 and b = -1/3

Step-by-step explanation:

Write the equation of this line in slope-intercept form. Then m = slope and b = y-intercept and the basic equation is y = mx + b.

Solving 3y+2x=-1 for y, we get 3y = -2x - 1, or y = (-2/3)x - 1/3

Here we can easily see that m = -2/3 and b = -1/3.

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The diagram shows the rectangle ABCD, where A is (3,2) and B is (1,6).

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(i)
$A(3,2),B(1,6)
\\
\\m_{AB}= \frac{6-2}{1-3}=-2
\\
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\\ 
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\\
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\\
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\\
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\\
\\2y-12=x-1
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(ii)
$AC:y=x-1
\\BC:x-2y+11=0
\\
\\C=AC\cap BC
\\
\\x-2(x-1)+11=0
\\x-2x+2+11=0
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$A(3,2)B(1,6),C(13,12)
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\\
\\d(A,B)= \sqrt{(1-3)^2+(6-2)^2}= \sqrt{20} =2 \sqrt{5} 
\\
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\\ 
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3 years ago

The length of chen's office is 15.5 feet and the width is 7.8 feet.Use the formula P=2L+2w to find the perimeter of the office.

vlada-n [284]

Answer:

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Step-by-step explanation:

formula:2l +2w. 2×15.5f. 2×7.8= 46.6 feet

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