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2 years ago

Given the points (-4,8)and(6,-12)

Mathematics

1 answer:

MissTica2 years ago

3 0

Answer:

$midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)$

$distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units$

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Solve the following inequality: 10t + 7 , 200 > 21 , 000

Alla [95]

Answer:

t > 1380

Step-by-step explanation:

Subtract 7200 from both sides

10t + 7200 - 7200 > 21000 - 7200

Simplify

10t > 13800

Divide both sides by 10

10t/10 > 13800/10

Simplify

t > 1380

4 0

3 years ago

at a bus station , buses depart at a rate of 3 every 10 minutes. at this rate, _____buses will depart in 1 hour

Marina CMI [18]

1 hour = 60 minutes

60 minutes / 10 minutes = 6

So 6 times in one hour 3 buses depart.

6 x 3 = 18 total buses in an hour.

6 0

3 years ago

Bill Gates wrote a computer program that generates three random numbers

Allushta [10]

Answer:

1/1000

Step-by-step explanation:

The probability of two independent events A, B (independent = events that do not depend on each other) is given by the product of the individual probabilities of A and B:

$p(AB)=p(A)\cdot p(B)$ (1)

In this problem, the single event is "getting a 3" when extracting a random number between 1 and 10.

The total number of possible outcomes is

n = 10

While the number of succesfull outcomes (getting a 3) is only one:

$s=1$

So, the probability of drawing a 3 in 1 draw is

$p(3)=\frac{s}{n}=\frac{1}{10}$

Then, we want to find the probability of getting three "3" in 3 consecutive generations. These events are independent events, so we can use rule (1) to find the total probability, and we get:

$p(333)=p(3)p(3)p(3)=(\frac{1}{10})(\frac{1}{10})(\frac{1}{10})=\frac{1}{1000}$

7 0

3 years ago

Describe and correct the error a student made when graphing y+5=-3/4(x-8).

Elis [28]

In step 1 the y-intercept should be plotted at (0,-6)
Step-by-step explanation:
Remember that to find the Y intercept in any linear equation you need to use 0 as your X value, this means taking the formula in the y=mx+b form and replacing X with a 0.
Since the formula is y = -3/4x -6
We just insert a 0 insted of the "x"
y = -3/4(0) -6
y=0-6
y=6
So the y-intercept sould be placed in (0,-6)
That's what he did wrong when graphing the equation.

8 0

3 years ago

-13x - 8 = 5 - 8x -3

kramer

Answer:

x = -2

Step-by-step explanation:

$-13x - 8 = 5 - 8x - 3 \\\\-13x + 8x = 5 - 3 + 8 \\\\-5x = 10 \\\\x = \frac{-10}{5} = -2$

3 0

3 years ago