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Montano1993 [528]
2 years ago
9

Given: A(12,9), B(-2,-5) Find: M​

Mathematics
2 answers:
Anestetic [448]2 years ago
6 0
M (5,2) would be the answer
VARVARA [1.3K]2 years ago
4 0

Answer:

<h2>M = ( 5 , 2)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A(12,9), B(-2,-5)

The midpoint M is

M  =  (\frac{12 - 2}{2} , \:  \frac{9 - 5}{2} ) \\  = ( \frac{10}{2} , \:  \frac{4}{2} )

We have the final answer as

<h3>M = ( 5 , 2)</h3>

Hope this helps you

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Factor 10x3 + 8x2 - 6x.
valkas [14]
We notice a factor of 2x in both 2x(5x^2+4x-3) trial and error (5x-3)(x+1) yeilds 5x^2+2x-3, nope (5x+3)(x-1) yeilds 5x^2-2x-3, nope (5x-1)(x+3) yeilds 5x^2+14x-3, nope (5x+1)(x-3) yeilds 5x^2-14x-3, nope simplest form is 2x(5x^2+4x-3)
6 0
3 years ago
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
Elza [17]

Answer: (13,-7)

Step-by-step explanation:

By using the formula (x_{m},y_{m})  =(\frac{x_{1}+x_{2}  }{2},\frac{y_{1}+y_{2}  }{2} )

(x_{m},y_{m})\\ is the coordinates of the midpoint.

For finding the midpoint X variable do:

(\frac{4+22}{2})=13

For finding the midpoint Y variable do:

\frac{-10+(-4)}{2} = -7 (you can either keep the parenthesis or take them out. Either way, the answer is the same.

Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.

x: 13

y: -7

(13,-7).

6 0
2 years ago
What is the probability that a junior non-Nutrition major and then a sophomore Nutrition major are chosen at random? Express you
aleksandr82 [10.1K]

Answer:

0.0032

The complete question as seen in other website:

There are 111 students in a nutrition class. The instructor must choose two students at random Students in a Nutrition Class Nutrition majors Academic Year Freshmen non-Nutrition majors 17 18 Sophomores Juniors 13 Seniors 18 Copy Data. What is the probability that a senior Nutrition major and then a junior Nutrition major are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places.

Step-by-step explanation:

Total number of in a nutrition class = 111 students

To determine the probability that the two students chosen at random is a junior non-Nutrition major and then a sophomore Nutrition major, we would find the probability of each of them.

Let the probability of choosing a junior non-Nutrition major = Pr (j non-N)

Pr (j non-N) = (number of junior non-Nutrition major)/(total number students in nutrition class)

There are 13 number of junior non-Nutrition major

Pr (j non-N) = 13/111

Let the probability of choosing a sophomore Nutrition major = Pr (S N-major)

Pr (S N-major)= (number of sophomore Nutrition major)/(total number students in nutrition class)

There are 3 number of sophomore Nutrition major

Pr (S N-major) = 3/111

The probability that the two students chosen at random is a junior non-Nutrition major and then a sophomore Nutrition major = 13/111 × 3/111

= 39/12321

= 0.0032

7 0
3 years ago
You deposit $500 in an account that pays 8% annual interest compounded yearly. What is the account balance after six years? Form
Diano4ka-milaya [45]
Principal, P = $500
r =8% = 0.08, the interest rate
n = 1, the compounding interval
t = 6 years

The value after 6 years is
A = P(1 +  \frac{r}{n} )^{nt}
That is,
A = $500*(1 + 0.08)⁶ = $793.44

Answer: $793.44

7 0
3 years ago
Simplify the following:<br> A.<br> (-x)^4/4x * 8(-x)^-3/x^-3/4
Tomtit [17]

Answer:

Answer for (a)   -2x^4/3

Answer for (b)  2^5x/4^3x

4 0
2 years ago
Read 2 more answers
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