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2 years ago

What is the equation of the line that is parallel to y =1/5x+4

Mathematics

1 answer:

atroni [7]2 years ago

7 0

Answer:

y=(1/5)x-5

Step-by-step explanation:

The given equation is

y=(1/5)x+4

This is of the form

y=mx+b

which is called the slope-intercept form because

m is the slope

b is the y intercept.

In this case,

m=1/5

b=4

you can see from the chart that this matches the red line.

If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that

y=(1/5)x+b

Since the line must go through the point (5,-4), we have

-4=(1/5)(5)+b

-4=1+b

b=-5

So, the desired line is

y=(1/5)x-5

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What is the slope of the line that passes through 2,-3 and -2,10

mafiozo [28]

Answer:

-13/4

Step-by-step explanation:

10-(-3)=13

-2-2=-4

13/-4

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3 years ago

The endpoints of on are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line on.

Naddika [18.5K]

y = -1/2x +2 1/2
General equation;
y = mx + c

Calculating the slope;
Change in y/ (change in x) = gradient m

(2-1)/(1-3) = - 1/2

Replacing m gives;
y= -1/2x + c

Calculating the value of c
take point (1,2) above and replace y with 2 and x with 1
2=-1/2 *1 +c
c = 2 1/2
Equation then is
y = -1/2x +2 1/2

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2 years ago

You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite son

Afina-wow [57]

20/900
I not sure though

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2 years ago

Team infinite dimensions canoed 15 3/4 miles in 3 hours. what was their average rate of speed in miles per hour?

Karo-lina-s [1.5K]

Miles per hour

(15 and 3/4) miles per 3 hours

remember that
(a+b)/c=(a/c)+(b/c)
and
a and c/d=a+c/d

so

(15 and 3/4)/3=(15/3)+(3/4)/3
remember that dividing by a number is like multiplying by a fraction
15/3=5
(3/4)/3=(3/4) times (1/3)=3/12=1/4

(15/3)+(3/4)/3=5+1/4=5 and 1/4

answer is 5 and 1/4 miles per hour

7 0

3 years ago

Read 2 more answers

Suppose that the rate of return on stocks is normally dis-tributed with mean of 9% and a standard deviation of 3%. If I pick fiv

alisha [4.7K]

Answer:

The probability that at least two stocks will have a return of more than 12% is 0.1810.

Step-by-step explanation:

Let X = rate of return on stocks.

The random variable X follows a Normal distribution, N (9, 3²).

Compute the probability that a stock has rate of return more than 12% as follows:

$P(X\geq 12)=1-P(X$

**Use the z table for the probability.

The probability of a stock having rate of return more than 12% is 0.1587.

Now define a random variable Y as the number of stocks that has rate of return more than 12%.

The sample size of stocks selected is, n = 5.

The random variable Y follows a Binomial distribution.

The probability of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, ...$

Compute the value of P (X ≥ 2) as follows:

P (X ≥ 2) = 1 - P (X < 2)

= 1 - P (X = 0) - P (X = 1)

$=1-{5\choose 0}(0.1587)^{0}(1-0.1587)^{5-0}-{5\choose 1}(0.1587)^{1}(1-0.1587)^{5-1}\\=1-0.4215-0.3975\\=0.1810$

Thus, the probability that at least two stocks will have a return of more than 12% is 0.1810.

6 0

2 years ago