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3 years ago

What is the mid point of (-3,4) and (5,-2)

1 answer:

7 0

To find the midpoint of two points, we use the midpoint formula where M = (x1+x2/2, y1+y2/2).

If we plug in the respective values into this formula, we get:

(-3+5/2, 4+-2/2)

When we simplify the addition and subtraction in the numerators, we get:

(2/2, 2/2)

After dividing each respective part of the ordered pair, we get:

(1, 1)

Therefore, the midpoint is (1, 1).

Hope this helps!

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What's the area and perimeter of a right triangle with sides 5, 12 and 13( 5 and 12 are the base and height)

uysha [10]

Perimeter is 30
Area is also 30.

Add the numbers to get the perimeter and then use 1/2bh to get the area. <span />

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4 years ago

Read 2 more answers

Use the grouping method to factor x3 + x2 + 2x + 2.

NISA [10]

Therefore the answer is D. (x + 1)(x2 + 2)

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4 years ago

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When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr

Andrews [41]

Answer:

(a) 13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

3 0

3 years ago

It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. I

HACTEHA [7]

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36] = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42] = 42/72 = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84] = 30

30/42 = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.

8 0

3 years ago

Help plz i’ll give extra points

swat32

elevation in feet = 8.56(140) + 674

elevation in feet = 1872.4

Round to the nearest whole number: 1872

Answer: 1872

4 0

3 years ago