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3 years ago

8. Write an equation for a line that is parallel to the given line and that passes through the given point.

Mathematics

1 answer:

stepan [7]3 years ago

8 0

Answer:

B. y = 5/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m (x − x 1 ) to find the line parallel to y = 5 /2 x − 10 .

y = 5 /2 x − 14 PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 5 /2 x − 10 .

y = − 2 /5 x − 157 /5 PERPENDICULAR

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In a shipment of 22 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 4 smartphones, of

Eddi Din [679]

Answer:

Therefore the required ways are =190

Step-by-step explanation:

Combination: Combination is the number of selection of items from a collection of items where the order of selection does not matter.

Total number of smartphones =22

Defective phone = 2

Non defective phone = (22-2) =20

The control inspector randomly test 4 smartphones of which 2 are defective.

Non defective phone = 2

The ways to select 2 non defective phone is

$^{20}C_2=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!}=\frac{19\times 20}{2} =190$

The ways to select 2 defective phone is= $^2C_2=1$

Therefore the required ways are = (190×1) =190

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