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2 years ago

Consider the line y= -7/4x+8

1 answer:

8 0

Perpendicular line has slope that multiplies to -1
paralel line has same slope

y=mx+b
slope=-7/4
perpendicular
4/7
(-7,-2)
-2=4/7(-7)+b
-2=-4+b
add 4 both sides
2=b
y=4/7x+2

paralel
y=-7/4x+b
-2=-7/4(-7)+b
-2=49/4+b
minus 49/4 from both sides (-2=-8/4)
-57/4=b
y=-7/4x-14.25

perpendicular
y=4/7x+2
paralel
y=-7/4x-14.25

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Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so tha

kherson [118]

Answer:

P(system works) = 0.6144

Step-by-step explanation:

Each compoent has an 80% = 0.8 probability of working correctly.

1 and 2

We need at least one of them working.

Either neither works, or at least one works.

Each one has a 1 - 0.8 = 0.2 probability of not working.

0.2*0.2 = 0.04

0.04 of neither working.

1 - 0.04 = 0.96 probability of at least one working

3 and 4

We need both to work, each with a 0.8 probability.

Calculate P(system works).

At least one of the first two, with 0.96 probability

3 and 4, each with 0.8 probability.

0.96*0.8*0.8 = 0.6144

P(system works) = 0.6144

6 0

3 years ago

Rewrite the expression without parentheses.<br> 14m - (4 + 9m)

Daniel [21]

Answer:

14m-56+126.................

8 0

2 years ago

20 POINTS!!

Sedaia [141]

Answer:

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=3/2

Decimal Form:

x=1.5

Mixed Number Form:

x =1 1/2

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2 years ago

Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 start fraction, 7, divided by, 12, end fraction of an

charle [14.2K]

Answer:

45/7 rounds

6 3/7 rounds

Step-by-step explanation:

Here is the full question

Nicole is playing a video game where each round lasts 7/12 fraction of an hour. She has scheduled 3 3/4 fraction hours to play the game. How many rounds can Nicole play? rounds

Number of rounds she can play = total time she has scheduled / length of each round

length of each round = 7/12

total time she has scheduled = 3 3/4

3 3/4 ÷ 7/12

3 3/4 x 12/7

convert to the total time scheduled to an improper fraction

to convert to improper fraction, take the following steps :