Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).

Mathematics

1 answer:

12345 [234]3 years ago

5 0

y = -2x-3

Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope , then a line perpendicular to this has slope . That means the slope of our perpendicular line is

You might be interested in

Dan buys a car for £2100.

SVETLANKA909090 [29]

Answer:

£1837.5

Step-by-step explanation:

Given data

Cost of car P= £2100.

Rate r= 2.2%

Time t= 6 years

Now we want to find the worth after 6 years, let us apply the compound interest expression but this time for depreciation

A= P(1-r)^t

Substitute

A= 2100(1-0.022)^6

A= 2100*(0.978)^6

A= 2100*0.875

A= £1837.5

Hence the amount of the car after 6 years is £1837.5

8 0

3 years ago

20. Three cards are selected form a standard deck of cards and not

frozen [14]

We have a probability of $\frac{13}{52}=\frac{1}{4}$ for the first card to be a diamond. Having drawn this first card <em>without replacement,</em> there are now 12 diamonds remaining in a deck of 51 cards, so the probability that the second card is a diamond, given that the first card was a diamond, is $\frac{12}{51}=\frac{4}{17}.$ Similarly, for the third card, there are 11 diamonds in a deck of 50, so the probability of drawing a third diamond is $\frac{11}{50}.$ Now, since these events are dependent, we multiply these three probabilities to get our answer of $\frac{11}{850}.$