All categories

4 years ago

Find an equation for the line perpendicular to the line 4x+8y=−84x+8y=−8 having the same y-intercept as −4x+2y=−6−4x+2y=−6.

1 answer:

6 0

4x + 8y = −8
8y = -4x - 8
y = -1/2x - 1
⇒ Slope = -1/2
⇒ Slope of perpendicular line = 2

- 4x + 2y = - 6
2y = 4x - 6
y = 2x - 3
⇒ y-intercept = -3


Equation:
y = mx + b

Substitute the value for the slope and y-intercept:
y = 2x - 3

Answer: y = 2x - 3

You might be interested in

NEED HELP ASAP!!!! PLEASEEE

nikdorinn [45]

The first answer of the missing blank is 4/5.

The second answer of the missing blank is 2.

The third answer of the missing blank is 25.

*For all of these solutions, I will be using the common rules for logarithms.*

Solution for the first question:

Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.

Solution for the second question:

Log3^22 must equal log3^11+log3^2, if you break it down.

Solution for the third question:

Log9^25 must equal 2log9^5 because it will be like this when simplifying it:

log9^25=2log9^5

log9^5²=2log9^5

2log9^5=2log9^5

These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!

5 0

3 years ago

A farmer is building a grain silo for storage. he estimates that will need 256 cubic yards of storage. the grain silo will be sh

Vlad1618 [11]

Check the picture below.

keeping in mind that a cube is just a rectangular prism with all equal sides.

7 0

3 years ago

How do I do this problem ??

kati45 [8]

See attached picture for solution:

3 0

3 years ago

The picture below shows a box sliding down a ramp:

algol [13]

Answer:

11.3 ft

Step-by-step explanation:

sin = opp/hyp

hyp = opp/sin

AC = 10/sin62

Use calculator

AC = 11.325700506890392

11.3 ft

8 0

3 years ago

The speeds of vehicles traveling on a highway are normally distributed with an unkown population mean and standard deviation. A

Maksim231197 [3]

Answer:

The 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X =65$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9 represent the sample standard deviation

n=11 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=11-1=10$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,10)".And we see that $t_{\alpha/2}=1.81$

Now we have everything in order to replace into formula (1):

$65-1.81\frac{9}{\sqrt{11}}=60.09$

$65+1.81\frac{9}{\sqrt{11}}=69.91$

So on this case the 90% confidence interval would be given by (60.09;69.91)

We are 90% confident that the true mean for the speeds of vehicles traveling on a highway is between 60.09 and 69.91 miles per hour.

3 0

3 years ago