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3 years ago

Which 1 is the equation 3x+9y=7 that passes through (6,4)

Mathematics

1 answer:

algol [13]3 years ago

6 0

Perpendicular lines have an negated inverse slope compared to a given line. so we need to find slope of line:
3x + 9y = 7
y = -1 / 3 x + 7

so the opposite of -1/3 is 1/3. flip the fraction to get the inverse and it is 3/1 or 3. 3 is then the slope of perpendicular line. now we see which one will work with it. there are 2 possible
3x+ 4 = y
3x - 14 = y

plug in the point on line and see if it works
3 (6) + 4 = 4 nope

3 (6) -14 = 4 yes
so 3x - 14 = y

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Step-by-step explanation:

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3 years ago

Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always tur

daser333 [38]

Answer:

After 88 seconds, they will blink together.

Step-by-step explanation:

Time after which the first light blinks = 8 seconds

Time after which the second light blinks = 22 seconds

Initially, both the lights blink together.

To find:

The time at which they will blink together again.

Solution:

Let us have a look at the time after which each light will blink.

First light will blink after:

8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......

Second light will blink after:

22 s, 44 s, 66 s, 88 s, 110 s, .....

It can be seen that common time is 88 second, at which the both will blink together.

So, the answer is 88 s.

This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.

Using the factorization method:

$8=\underline{2}\times 2\times 2$

$22=\underline{2}\times 11$

Common is 2.

Therefore the LCM will be:

$2\times 2\times2\times 11 = \bold{88}$

So, the answer is 88 s.

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3 years ago