Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (3, 5) and M =(-2, 0)

Answers

Answer 1

Answer: I'll try to explain. The trouble is that I do not know English :)
About Points
S = (x,y) searched point (it will be in the third quadrant )
M = (-2,0) Midpoint | SP |
P = (3,5) one end of the segment | SP |

You have to draw Cartesian.

we set in a point M and P. We both points by a simple and we extend it for the third quarter of the system. Compass measure the distance from the point M to the point P. From the point M we set a compass point S. Figure attached. Received point S = ( -7 , -5 ) . It sought a point that calculate .

We use the information that | SM | = | MP |

$x_(S) - x_(M) = x_(M) - x_(P) \n \n x_(S) - (-2) = -2 - 3 \n \n x_(S) +2 = -5 \n \n x_(S) = -5 - 2 = -7$

$y_(S) - y_(M) = y_(M) - y_(P) \n \n y_(S) - 0 = 0 - 5 \n \n y_(S) = -5$

Answer : S = (-7,-5)

as soon as I had a good range will add drawing

Answer 2

Answer:

Answer:

(-7,-5)

Step-by-step explanation:

Hope it helps.

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Answers

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Let f(x)=9x-2 and g(x)=-x+3. find f(g(x)).

Answers

$f(g(x))=9(-x+3)-2 \n f(g(x))= -9x+27-2 \n f(g(x))= -9x+25$

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a bottle contains 12 red marbles and 8 blue marbles. A marble is chosen at random and not replaced. Then a second marble is chosen at random. Determine the probability that the two marbles are not the same color.

Answers

$P(A)= (12)/(20) \cdot (8)/(19) + (8)/(20) \cdot (12)/(19)= (12\cdot8)/(20\cdot19) \cdot2=(12\cdot4)/(5\cdot19)= (48)/(95)$

An albatross is a large bird that can fly 600 kilometers in 15 hours at a constant speed. Using LaTeX: dd for distance in kilometers and LaTeX: tt for number of hours, an equation that represents this situation is LaTeX: d=40td = 40 t . What are two constants of proportionality for the relationship between distance in kilometers and number of hours?

Answers

Answer:

The constant is 40

Step-by-step explanation:

According to the question we are given an equation that represents the given situation as d = 40t where;

d is the distance in km

t is the time in seconds.

The given function is a direct proportionality. For example if p is directly proportional to q, this is expressed as p ∝ q where ∝ is the proportionality sign. In order to remove the sign we will introduce a constant say "k". The equation will become;

p = kq (p and q are the variables)

A direct proportionality means that as a variable is increasing, the other is increasing and vice versa. Comparing p = kq with d = 40t, we can see that k is equal to 40 and d is directly proportional to t

Hence the constants of proportionality for the relationship between distance in kilometers and number of hours is 40 on comparing.

Which of the following expressions are equivalent to 16a³b²-8a565 +12a4b? Select all that apply.4a³b (4b-2a²b4 +3a)
2ab (8a²b-8a¹b² +6a³)
4a³65 (4a²b³-2+3ab¹)
2a²b (8ab-4a³b4 + 6a²)
4b (4a³b-2a564 +3aª)
2a (8a³b²-4a¹b5 +6a¹b)

Answers

The expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are:

4a³b (4b-2a²b⁴ +3a) ,2a²b (8ab-4a³b⁴ + 6a²) ,4b (4a³b-2a⁵b⁴ +3aª) , 2a (8a³b²-4a¹b⁵ +6a¹b)

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

We can use the distributive property of multiplication to check if the expressions are equivalent to 16a³b²-8a⁵b +12a⁴b.

Let's simplify each expression and see if we can rewrite it in the form of the given expression:

4a³b (4b-2a²b⁴ +3a)

4a³b (4b-2a²b⁴ +3a)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

2ab (8a²b-8a¹b² +6a³)

= 16a³b² - 16a³b + 12a⁴b

This expression is not equivalent to the given expression.

4a³65 (4a²b³-2+3ab¹)

= 16a³b² - 8a⁵b + 12a⁴b - 8a³

This expression is not equivalent to the given expression.

2a²b (8ab-4a³b4 + 6a²)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

4b (4a³b-2a⁵b⁴ +3aª)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

2a (8a³b²-4a¹b5 +6a¹b)

= 16a³b² - 8a⁵b + 12a⁴b

This expression is equivalent to the given expression.

Therefore, the expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are:

4a³b (4b-2a²b⁴ +3a)

2a²b (8ab-4a³b⁴ + 6a²)

4b (4a³b-2a⁵b⁴ +3aª)

2a (8a³b²-4a¹b⁵ +6a¹b)

So, we select options 1, 4, 5 and 6.

Therefore, the expressions that are equivalent to 16a³b²-8a⁵b +12a⁴b are: 4a³b (4b-2a²b⁴ +3a) ,2a²b (8ab-4a³b⁴ + 6a²) ,4b (4a³b-2a⁵b⁴ +3aª) , 2a (8a³b²-4a¹b⁵ +6a¹b)

To learn more about Algebraic expression from given link.

brainly.com/question/953809

#SPJ1

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