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2 years ago

Write an equation for a line that is perpendicular to y=1/2x+6

Mathematics

1 answer:

Yakvenalex [24]2 years ago

5 0

Answer:

y= -2x+6

Step-by-step explanation:

General formula :

y=mx+c

m is the gradient

when finding when finding the perpendicular line of another line is will be the negative inverse of the gradient

The perpendicular line will have a gradient of -2 (the negative inverse of 1/2)

the line perpendicular to the equation y=1/2x+6

is y= -2x+6

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The length of a rectangle is 4 in longer than its width. if the perimeter of the rectangle is 28 in , find its area.

ra1l [238]

The area is 45 inches squared

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3 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

What is the answer <br> A.<br> B.<br> C.<br> D.

RUDIKE [14]

Answer:

Step-by-step explanation:

The opposite of 5/2 is -5/2 which is -2 1/2 and the opposite of -1/2 is 1/2.

4 0

2 years ago

Jose left the White House and drove toward the recycling plant at an average speed of 40 km/h. Rob left some time later driving

Aleks04 [339]

Let $x$ represent Jose's drived distance and $y$ represent Rob's.
So what you need to do is to solve the equation:
$40x=48*5$
$40x=240$
$x=240/40=6$

So Jose drove for 6 hours before Rob caught him.

4 0

3 years ago

Using the slope and the y intercept, graph the line represented by the following equation.

PtichkaEL [24]

Beforehand let me apologize for my sloppy handwriting. I'm a lefty, so please deal with me. . Anyway, the equation you listed didn't really have a x, because a linear equation is y= mx+b, and anything with x is the slope. But I did see y and a number on one side, so I'm like maybe I can get these two alone. So here's what I did:

2y + 4=0
-4 -4 I subtracted 4 on both sides. Why because you would want "y" alone.
Next,
2y= -4
Now to get "y" alone you want to divide on both sides.
2y= -4/ 2
y= -2
Now you're probably thinking "how do you graph it? There's no "x" in the equation." Well, you just graph it. Since the answer is y= -2, you go to the y axis, look for -2, and place a line to indicate that is the equation. And to make it clear, remember y is the y-intercept.

I really do hope this helps you, if not message me. I'll be happy to help, and again I'm sorry for my handwriting!

4 0

3 years ago

Read 2 more answers