Which of the following is perpendicular to 4x

Write an equation for the line that passes through the points (0,-6) and (-3,0)

lisov135 [29]

Answer:

Then the desired equation is y = -2x - 6.

Step-by-step explanation:

As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.

Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:

y = mx + b becomes 0 = -2(-3) + b, so that b = -6.

Then the desired equation is y = -2x - 6.

Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES

7 0

3 years ago

Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.

ikadub [295]

Answer:

8 minutes

Step-by-step explanation:

Jill jogs 3/4 of a mile in 1/10 hour.

⇒ 3/4 of a mile takes 6 minutes

For one mile :

3/4 mile x 4/3 : 6 x 4/3 minutes
1 mile : 2 x 4 minutes
1 mile takes 8 minutes

3 0

2 years ago

Read 2 more answers

At a rate of 36 miles per hour, it takes Henry 15 minutes to drive from the library to his house. Show how to find the distance

EastWind [94]

This is applying the formula
$distance=rate*time$

We have a slight problem, though, because we are measuring rate in miles per hour, and we are measuring time in minutes. To make this problem solvable, we need to convert to either miles per minute or convert the time to hours. I'm going to convert the 15 minutes into hours:
$15min*\frac{1 hour}{60 min}=\frac{1}{4}hour$

Now that all of the units match, we have:
$distance=36\frac{mi}{hr}*\frac{1}{4}hr$

You can finish from there I'm sure.

4 0

3 years ago

Find the slope of the following graph and Identify the type of Slope:

Masteriza [31]

Answer:

undefined

Step-by-step explanation:

Horizontal lines have no slope. The line on the graph is vertical, so we can't really tell what slope it is. But there isn't any run and only rise, therefore the slope is "undefined."

3 0

3 years ago

For the histogram on the right determine whether the mean is greater than, less than, or approximately equal to the median. Ju

Vikentia [17]

Answer:

Option D is correct.

x overbar less than Upper M because the histogram is skewed left.

Step-by-step explanation:

Note that x overbar represents the mean and upper M represents the median.

The median is the variable at the middle of the distribution of distribution when all the variables are arranged in ascending or descending order.

The total frequency for this distribution is 3+4+7+10+13+10 = 47

the median will be at the middle of this distribution; that is, at the 24th position.

The 24th position is on the 4th bar (the very end of the 4the bar).

The mean is the average of a distribution. It is the sum of variables in the distribution divided by the number of variables in the distribution.

For an histogram, the number in the middle of each bar is used to calculate the mean.

Let us assume that the width of each bar is 5 and the midpoint of the first bar is x, then the midpoint of the next bar will be x+5, the next bar will be x+10, etc.

Sum of the variables = (x)(3) + (x+5)(4) + (x+10)(7) + (x+15)(10) + (x+20)(13) + (x+25)(10) = 47x + 750

mean = (47x+750)/47

Mean = (x + 15.95)

This value indicates that the mean is on the 4th bar. But like we obtained, the median was at the end of the 4th bar, the mean is closer to the midpoint of the bar. (Recall that the midpoint of the bar is x+15).

This indicates that the mean is less than the median.

When the mean is less than the median, it means that less variables fall below the mean, more variables are found above the mean and it is a skewed left distribution.

Hope this Helps!!!

7 0

4 years ago

Which of the following is perpendicular to 4x - 3y = 8?