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Gennadij [26K]
3 years ago
15

HEEEEEELP !

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

If you meant to write y=23x-4 then none of the lines are perpendicular.

I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.

For any line y=mx+b, you have to "invert" m to get  a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.

So 2/3 becomes -3/2, hence answer D.

The 'inverted' m is called the opposite reciprocal. That's your word of the day.


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5.5 + 2.1x + 3.8x – 4.1
lozanna [386]

Answer:

5.9x + 1.4

Step-by-step explanation:

5.5 + 2.1x + 3.8x - 4.1

= 5.9x + 1.4

4 0
3 years ago
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Which expression results when the change of base formula is applied to log4 (x + 2)?
aksik [14]
You haven't shared the possible answers, so the best I can do (which is very good!) is to assume we want to change from base 4 to base 10 and then apply the change of base formula.

Given log-to-the-base-4-of (x+2), we want log-to-the-base-10 of (x+2).  Following the change of base formula,
                                                log-to-the-base-4-of (x+2)
log-to-the-base-10 of (x+2) = ------------------------------------
                                                  log-to-the-base-4-of-10
6 0
3 years ago
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Eight times the sum of a number and 20 is at most −25
icang [17]
8(x + 20) <span>≤ -25

hope that helps</span>
4 0
3 years ago
If two events a and b are independent and you know that p(a) = 0.65, what is the value of p(a | b)?
Ksivusya [100]
Let's think of an example which would better help visualize this situation. 

1) Someone exercises a lot so they can concentrate more on their homework (here running and concentration on homework are dependent events)

2) Someone exercises a lot because they wear a blue t-shirt (here, you can clearly see that wearing a blue shirt and exercising are not related. These events are independent).

Now concentrating on P(a | b) = Probability a occurred if b occurred. 

It does not matter if b occurred (just like it didn't matter that the person wore a blue shirt which meant that they exercised) for the outcome a to occur. 

Therefore, probability of P(a | b) = P(a) 

P(a | b) = 0.65 

Hope I helped :)  
5 0
3 years ago
A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same pla
alexandr402 [8]

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

8 0
2 years ago
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