Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)

Answers

Answer 1

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)


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the correct answer is A
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Answer:

The answer would be X=2 .

Step-by-step explanation:

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A ship is 130 m away from the centre of a barrier that measures /
180 m from end to end. What is the minimum angle that the
boat must be turned to avoid hitting the barrier?

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Answer:

Step-by-step explanation:

50 meters away

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Question is not hard so please answer correctly

Answers

It can sometimes be rational

find the slope between the given two points​

Answers

Slope can be found using the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

7) Let:

[tex](x_1 , y_1) = (-1 , -11)\\(x_2 , y_2) = (-6 , -7)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-7 - (-11)}{-6 - (-1)} = \frac{-7 + 11}{-6 + 1} = \frac{4}{-5} = -\frac{4}{5}[/tex]

Slope: [tex]-\frac{4}{5}[/tex]

8) Let:

[tex](x_1 , y_1) = (-7 , -13)\\(x_2 , y_2) = (1 , -5)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-5 - (-13)}{1 - (-7)} = \frac{-5 + 13}{1 + 7} = \frac{8}{8} = 1[/tex]

Slope: [tex]1[/tex]

9) Let:

[tex](x_1 , y_1) = (-5 , 3)\\(x_2 , y_2) = (8 , 3)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{3 - (3)}{8 - (-5)} = \frac{0}{8 + 5} = \frac{0}{13} = 0[/tex]

Slope: [tex]0[/tex]

10) Let:

[tex](x_1 , y_1) = (3 , -2)\\(x_2 , y_2) = (15 , 7)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{7 - (-2)}{15 - 3} = \frac{7 + 2}{15 - 3} = \frac{9}{12}[/tex]

Simplify the slope. Divide common factors from both the numerator and denominator:

[tex](\frac{9}{12})/(\frac{3}{3} ) = \frac{3}{4}[/tex]

Slope: [tex]\frac{3}{4}[/tex]

11) Let:

[tex](x_1 , y_1) = (-5 , -10)\\(x_2 , y_2) = (-5 , -1)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{-1 - (-10)}{-5 - (-5)} = \frac{-1 + 10}{-5 + 5} = \frac{9}{0} =[/tex] undefined.

Slope: undefined

12) Let:

[tex](x_1 , y_1) = (-4 , -2)\\(x_2 , y_2) = (-12, 16)[/tex]

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{16 - (-2)}{-12 - (-4)} = \frac{16 + 2}{-12 + 4} = \frac{18}{-8} = -\frac{18}{8} = ((-\frac{18}{8})/( \frac{2}{2}) = -\frac{9}{4}[/tex]

Slope: [tex]-\frac{9}{4}[/tex]

~

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Answer: Strange? Formulas of spheres dont have height. So with height is 1607,68 and without the height its 268.08

Step-by-step explanation:

301,71 cm ^3

hope this helps have a good day or night

whats the solutions to these using substitution method pls show ur work

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These are the answers

What is the slant height of a square pyramid that has a surface area of 319 square feet and a side length of 11 feet?

9 ft
10 ft
11 ft
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Answers

Answer:

the 319 square feet and side length of 11 feet is 10ft

Alfonso scored 18 points during his last basketball game,which was 40% of the points the entire team.
the entire team score________points.​

Answers

Answer:

45 points

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100×18=1800     multiply

1800÷40=45     divide

x=45 points

Answer:

48 points

Step-by-step explanation:

I took the test

Consider function g.
g(x) = 5/x - 1 + 2

What is the average rate of change of function g over the interval [-4, 3]?

A. 1/2
B. -1/2
C. -7/2
D. 2

Answers

Answer:

Step-by-step explanation: The answer is 1/2. This is on the Odyssey online Algebra 2 mastery test.

The average rate of change of function g over the interval [-4, 3] will be;

⇒ 1/2

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The function g is,

⇒ g (x) = 5 / (x - 1) + 2

And, The interval is,

⇒ [ - 4, 3 ]

Now,

We know that;

The average rate of change of function at interval [a, b] is,

⇒ f (b) - f (a) / (b - a)

So, The average rate of change of function g over the interval [-4, 3] is,

⇒ g (3) - g (- 4) / (3 - (- 4))

Here, The function g is,

⇒ g (x) = 5 / (x - 1) + 2

Put x = 3;

⇒ g (3) = 5 / (3 - 1) + 2

           = 5/2 + 2

           = 4.5

Put x = - 4;

⇒ g (-4) = 5 / (- 4 - 1) + 2

            = 5 / - 5 + 2

            = - 1 + 2

            = 1

So, WE get;

The average rate of change = (4.5 - 1) / 7

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                                           = 1/2

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Answers

Answer:

Width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft.

Step-by-step explanation:

Area of the rectangular banner = [tex]2\frac{7}{8}[/tex] square feet

                                                    = [tex]\frac{23}{8}[/tex] square feet

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[tex]\frac{23}{8}=\frac{3}{4}\times W[/tex]

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Therefore, width of the rectangular banner is [tex]3\frac{5}{6}[/tex] ft

Can anyone help me please
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Answers

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Step-by-step explanation:

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