Answer:
4y=x+33
y=x/4+33/4 (slope-intercept form)
Step-by-step explanation:
y-3 = -4(x+2)
y-3 -4x-8
y= -4x-8+3
y= -4x-5
m1 = -4
For perpendicularity
m2= -1/-4 = 1/4
The equation is
y-y1 = m2(x-x1)
y-7 = 1/4(x-(-5))
y-7 = x/4+5/4
Multiply through by 4
4y-28=x+5
4y=x+5+28
4y=x+33
Divide through by 4
y=x/4+33/4 (slope-intercept form)
The simplest form of the given expression
is 
<u>Solution:</u>
Given, expression is 3 11/12 – 1 4/12 
We have to find the simplest form of the value derived from the given expression.
Now, first let us solve the given equation.

converting mixed fractions to improper fractions.


As there are no common terms to cancel it is in lowest form.
Hence, the lowest form of the given expression is 
To find the total number of text messages sent, you will use the stem-n-leaf plot to create a data set of all the numbers of texts sent.
To read a stem-n-leaf plot you will use the number on the left as the tens place and each number to the right of it creates a new number in the data set.
See the key for help!
Here is the list of the all the data:
0, 0, 7, 9, 10, 10, 15, 20, 23, 32
To find the total number of text messages sent, add these together.
The answer is 126 text messages.
Answer: 0.0228
Step-by-step explanation:
Given : The mean and the standard deviation of finish times (in minutes) for this event are respectively as :-

If the distribution of finish times is approximately bell-shaped and symmetric, then it must be normally distributed.
Let X be the random variable that represents the finish times for this event.
z score : 

Now, the probability of runners who finish in under 19 minutes by using standard normal distribution table :-

Hence, the approximate proportion of runners who finish in under 19 minutes = 0.0228