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Genrish500 [490]
3 years ago
10

Find an equation for the line that passes through the point (-3, 6), parallel to the line through the points (0,-7) and (4,-15).

Write your answer in point-slope form.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0
Broken down into steps:

1.  Find the slope of the line segment that connecs the points (0,-7) and (4,-15).

2.  Start with the point-slope formula for the equation of a straight line:

y-b = m(x-a), where the given point is (a,b).  Borrow the value of m that you calculated in (1), above, and insert it into this point-slope formula.
Finish up by subst. the x- and y-values in (-3,6) into this formula.

Done!

You could, of course, solve this result for y if you wished.
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a ticket office sold 553 tickets one day. the receipts totaled $3936. how many $9 adult tickets and how many $6 child tickets we
Vsevolod [243]

This is the assumption method ;)

Take all tickets to be adult tickets

$9 x 553 = $4977

Then..... $4977 - $3936 = $1041

The difference between the child and adult ticket is $3, so divide $1041 by $3

$1041 divided by $3 = 347

347 is the number of <em>child </em>tickets sold

347 x $6 = $2082

So 553 - 347 = 206 ( no. of adult tickets )

206 x $9 = $1854

Child tickets sold : 347

Adult tickets sold : 206

:0 ITS MAGIC IM SO SMART

6 0
3 years ago
Read 2 more answers
What is an equation of the line with slope 5 and y-intercept 8?
jeka94

Answer:

y=5x+8

Step-by-step explanation:

You need have the slope-intercept formula:

y=mx+b

m=slope

b=y-intercept

You replace the m and b with the slope and y-intercept which is 8

y=5x+8

Hope this helps!

8 0
3 years ago
What does it mean if the distance between a point p and a line l is zero? What does it mean if the distance between two lines is
-Dominant- [34]

Answer:

a) the point is on the line

b) the lines are the same line

Step-by-step explanation:

a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.

b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.

4 0
3 years ago
There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents
MAXImum [283]

Answer:

There are a total of 4 + r + 6 marbles in the bag

The probability of a blue is  \frac{4}{10+r}  

The probability of a red is  \frac{r}{10+r}  

The probability of choosing a blue, replacing it and then a red is

\frac{4}{10+r} × \frac{r}{10+r}  =  [tex]\frac{4r}{100+20r+ r^{2} /[tex]

Step-by-step explanation:

6 0
3 years ago
Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an
Lorico [155]

Answer:

P(Z < 2.37) = 0.9911.

Step-by-step explanation:

We are given that Let z denote a random variable that has a standard normal distribution.

Let Z = a random variable

So, Z ~ Standard Normal(0, 1)

As we know that the standard normal distribution has a mean of 0 and variance equal to 1.

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean = 0

           \sigma = standard deviation = 1

Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)

        P(Z < 2.37) = P(Z < \frac{2.37-0}{1} ) = P(Z < 2.37) = 0.9911

The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.

4 0
3 years ago
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