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3 years ago

The midpoint of UV is point W. What are the coordinates of point V?

Mathematics

2 answers:

madreJ [45]3 years ago

7 0

Since you don't provide the coordinates of the point W, I will help you in a general form anyway. In the Figure below is represented the segment that matches this problem. We have two endpoints U and V. So, by using the midpoint formula we may solve this problem:

$Midpoint=W=W(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})=W(x_{3}, y_{3}) \\ \\ where:\\ \ U=U(x_{1}, y_{1}) \ and \ V=V(x_{2}, y_{2}) \\ \\ and: \\ x_{3}=\frac{x_{1}+x_{2}}{2} \\ y_{3}=\frac{y_{1}+y_{2}}{2}$

Therefore:

$x_{2}=2x_{3}-x_{1} \\ y_{2}=2y_{3}-y_{1}$

So we know $x_{3} \ and \ y_{3}$ but we also must know $x_{1} \ and \ y_{1}$

Finally, knowing the points U and W we can find the endpoint V.

Natalija [7]3 years ago

5 0

Answer:

Its B

Step-by-step explanation:

I took the quiz

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A gas can hold 10 L of gas. How many cans could we fill with 7 L of gas?

katrin2010 [14]

Answer: It is only one can that can be filled up.

Step-by-step explanation: If 1 gas can can hold 10 L of gas and you only have 7 L then how can you fill up more than 1 gas can with only 7 L? You don't have enough gas to fill up more than 1 gas can. So you are left with only 1 gas can filled but only with 7 L.

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3 years ago

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

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3 years ago

A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in

White raven [17]

Answer:

Each friend receives 4 pieces of gum. The answer is B).

Step-by-step explanation:

2 packs of gum=2*8=16 pieces of gum in total,

16/4=4

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3 years ago

In Mr. Johnson’s classes, 30% of the students scored a 95 on a quiz. Let be the total number of students in Mr. Johnson’s classe

STatiana [176]

Answer:

15 students (30% of the students in class) scores a 95 on a quiz.

Therefore the total number of students (100% of the students) in class is:

N = 15 x 100/30 = 50 (students)

(This calculation is inferred from a ratio that 15/N = 30/100).

Denote the number of students who scored a 95 on a quiz is a, the total number of students in class is b.

Then the equation that related a and b is:

b = (100/30) x a

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