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bonufazy [111]
3 years ago
10

Write an equation in slope-intercept form for the line that passes through (1, 1), and is perpendicular to the graph of 3x + 2y

= -7
Mathematics
2 answers:
defon3 years ago
8 0

Answer:

2X-3Y = -1

Step-by-step explanation:

given equation is 3X +2Y = -7

FIRST BRING THIS IN SLOPE INTERCEPT FORM

2Y = -3X -7

DIVIDING EACH TERM BY 2

Y = (-3/2)X -7/2

SLOPE OF GIVEN EQUATION IS -3/2

SLOPE OF LINE PERPENDICULAR TO THIS IS NEGATIVE RECIPROCAL HENCE  SLOPE OF REQUIRED EQUATION IS 2/3

EQUATION OF STRAIGHT LINE IN POINT SLOPE FORM IS

Y-Y1 = m(X-X1)

Y-1 = (2/3)(X-1)

MULTIPLYING ALL TERMS BY 3

3(Y-1) = 2(X-1)

3Y-3 = 2X -2

2X-2 = 3Y-3

2X-3Y =-3+2

2X-3Y = -1

Nezavi [6.7K]3 years ago
3 0

Answer:

y=2/3x+1/3

Step-by-step explanation:

3x+2y=-7

y= -3/2x-7

slope is 2/3x

y-1=2/3(x-1)

so , y= 2/3x+1/3

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Answer:

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(b) 0.06

(c) 0.0018

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Step-by-step explanation:

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The proportion of boards having solder defects is, P (A) = 0.06.

The proportion of boards having surface-finish defects is, P (B) = 0.03.

It is provided that the events A and B are independent, i.e.

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(a)

Compute the probability that either a solder defect or a surface-finish defect or both are found as follows:

= P (A or B) + P (A and B)

=P(A)+P(B)-P(A\cap B)+P(A\cap B)\\=P(A)+P(B)\\=0.06+0.03\\=0.09

Thus, the probability that either a solder defect or a surface-finish defect or both are found is 0.09.

(b)

The probability that a solder defect is found is 0.06.

(c)

The probability that both defect are found is:

P(A\cap B)=P(A)\times P(B)\\=0.06\times0.03\\=0.0018

Thus, the probability that both defect are found is 0.0018.

(d)

The probability that none of the defect is found is:

P(A^{c}\cup B^{c})=1-P(A\cup B)\\=1-P(A)-P(B)+P(A\cap B)\\=1-P(A)-P(B)+[P(A)\times P(B)]\\=1-0.06-0.03+(0.06\times0.03)\\=0.9118

Thus, the probability that none of the defect is found is 0.9118.

(e)

The probability that the defect found is a surface finish is 0.03.

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