All categories

3 years ago

Indicate the equation of the given line in standard form, writing the answer in the equation box below.

Mathematics

1 answer:

yawa3891 [41]3 years ago

5 0

9514 1404 393

Answer:

x -3y = 4

Step-by-step explanation:

A plot of the points reveals the longer diagonal to be BD. (Also, point C is on that line.)

We can write the standard form equation of the line through (x1, y1) and (x2, y2) as ...

(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1

For points (-2, -2) and (16, 4), this equation is ...

(4 -(-2))x -(16 -(-2))y = (4 -(-2))(-2) -(16 -(-2))(-2)

6x -18y = -12 +36

Dividing by the greatest common factor (6), we have the standard-form equation ...

x -3y = 4

You might be interested in

Your mother takes you to your grandparents’ house for dinner. She drives 60 minutes at a constant speed of 40 miles per hour. Sh

Tomtit [17]

Answer:

a) 75 miles

b) 90 minutes

c) His constant speed was higher for a longer period of time

Step-by-step explanation:

a) 70 / 2 = 35

40 + 35 = 75

b) 60 + 30 = 90

4 0

3 years ago

Suppose a basketball player has made 217 out of 302 free throws. If the player makes the next 3 free throws, I will pay you $23.

Anna [14]

Answer:

-$0.90

Step-by-step explanation:

There are only two possible outcomes, winning $23 (W) or losing $15 (L). Therefore:

$P(W) + P(L) = 1$

The probability of the player making his next 3 free throws (P(W)) is:

$P(W) = \frac{217}{302}*\frac{217}{302}*\frac{217}{302}\\P(W) = 0.37098$

The probability of the player NOT making his next 3 free throws (P(L)) is:

$P(L) = 1 - P(W) = 1 - 0.37098\\P(L) = 0.62902$

Expected value (EV) is given by the payoff of each outcome multiplied by its probability:

$EV = (23*0.37098) -(15*0.62902)\\EV = -\$0.90$

The expected value of the proposition is -$0.90

6 0

3 years ago

Find the 52nd number in the sequence<br> 9, 16, 23....

BartSMP [9]

Answer:

366

starts at 9, jumps by 7 each time.

so it's 9 plus 7 times the number if remaining jumps.

51x7= 357

add the origiinal 9, and you get 366

3 0

3 years ago

on the blue print for a house a rectangular balcony is 1 inch wide and 1.75 inches long . if the actual length of the balcony is

Triss [41]

The perimeter of the balcony is 22ft.

8 0

3 years ago

Read 2 more answers

The ages of armadillos are normally distributed, with a mean of 14 years and a standard deviation of 1.2. Approximately what per

vovangra [49]

Answer:

Percentage of armadillos between 13 and 17 years = 79.052%f using Standard Normal Distribution Tables

Step-by-step explanation:

As we know from normal distribution: z(x) = (x - Mu)/SD

where x = targeted value; Mu = Mean of Normal Distribution; SD = Standard Deviation of Normal Distribution

Therefore using given data: Mu = 14, SD = 1.2 we have z(x) by using z(x) = (x - Mu)/SD as under:

Approach 1 using Standard Normal Distribution Table:

z for x=17: z(17) = (17-14)/1.2 gives us z(17) = 2.5

z for x=13: z(13) = (13-14)/1.2 gives us z(13) = -0.83

Afterwards using Normal Distribution Tables we find the probabilities as under:

P(17) using z(17) = 2.5 gives us P(17) = 99.379%

Similarly we have:

P(13) using z(13) = -0.83 gives us P(13) = 20.327%

Finally in order to find out the probability between 17 & 13 years we have:

Percentage of armadillos between 13 and 17 years = P(17) - P(13) = 99.379% - 20.327% = 79.052%

The standard normal distribution table is being attached for yours easiness.

Approach 2 using Excel or Google Sheets:

P(17) = norm.dist(17,14,1.2,1)

P(13) = norm.dist(13,14,1.2,1)

Percentage of armadillos between 13 and 17 years = { P(17) - P(13) } * 100

Download pdf

4 0

3 years ago

Read 2 more answers