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3 years ago

Determine the midpoint given 2 points. (6,-10), (10,7)?

Mathematics

2 answers:

NISA [10]3 years ago

8 0

Hey there! I'm happy to help!

To find the x-value of the midpoint, you add the x values and divide by 2.

6+10=16

16/2=8

And for the y value, you do the same thing but with the y values.

-10+7=-3

-3/2=-3/2

Therefore, our midpoint is (8,-3/2).

Have a wonderful day! :D

Aloiza [94]3 years ago

5 0

The midpoint of the given points are (8,-2)

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identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form

tamaranim1 [39]

ANSWER

The required equation is:

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

EXPLANATION

The given equation is

$9 {x}^{2} - 25 {y}^{2} = 225$

Dividing through by 225 we obtain;

$\frac{ {x}^{2} }{25} - \frac{ {y}^{2} }{9} = 1$

This is a hyperbola that has it's centre at the origin.

If this hyperbola is translated so that its center is now at (0,5).

Then its equation becomes:

$\frac{ {(x - 0)}^{2} }{25} - \frac{ {(y - 5)}^{2} }{9} = 1$

We multiply through by 225 to get;

$9 {x}^{2} - 25( {y - 5})^{2} = 225$

We now expand to get;

$9 {x}^{2} - 25( {y}^{2} - 10y + 25 )= 225$

$9 {x}^{2} - 25{y}^{2} + 250y - 6 25 = 225$

The equation of the hyperbola in general form is

$9 {x}^{2} - 25{y}^{2} + 250y - 85 0=0$

5 0

3 years ago

Read 2 more answers

Please answer fast, this is urgent no explanation need just list answer 1,2,3etc. thanks :)

Sav [38]

Answer:

Hi There!

Step-by-step explanation:

Your Answers Are:

<h3>1: 19.3 CM</h3><h3>2: 273 CM</h3><h3>3: about 45-65 degrees</h3><h3>4: 15 CM</h3><h3>5: 25 CM</h3><h3 /><h3 />

Its hard to work w/o a ruler or a protractor, so these might be incorrect.

If this helps, though, please give me a thanks!! ^^

- abakugosimp

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3 years ago

What is the square root of 69

Maurinko [17]

8
is the answer because8 times 8 equal 69

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3 years ago

Use the following function to find the value of each operation.

Murljashka [212]

<h2>Evaluating Composite Functions</h2><h3>Answer:</h3>

$w(f(m(2))) = 593$

<h3>Step-by-step explanation:</h3>

We can write how $w(f(m(x)))$ will be defined but that's too much work and it's only useful when we are evaluating $w(f(m(x)))$ with many inputs.

First let's solve for $m(2)$ first. As you read through this answer, you'll get the idea of what I'm doing.

Given:

$m(x) = -4x +1$

Solving for $m(2)$ :

$m(2) = -4(2) +1 \\ m(2) = -8 +1 \\ m(2) = -7$

Now we can solve for $f(m(2))$ , since $m(2) = -7$ , $f(m(2)) = f(-7)$ .

Given:

$f(x)=3x-1$

Solving for $f(-7)$ :

$f(-7)=3(-7)-1 \\ f(-7) = -21 -1 \\ f(-7) = -22$

Now we are can solve for $w(-22)$ . By now you should get the idea why $w(f(m(2))) = w(-22)$ .

Given:

$w(x) = x^2 -5x -1$

Solving for $w(-22)$ :

$w(-22) = (-22)^2 -5(-22) -1 \\ w(-22) = 484 -5(-22) -1 \\ w(-22) = 484 +110 -1 \\ w(-22) = 593$

8 0

3 years ago

Pls help I'll mark brainliest and it's 20 points, very important!

mafiozo [28]

Answer:

The solution h < 5.5 means that Melanie can rent the bike for no more than 5.5 hours.

<u>Hope this helps :)</u>

<u>Explanation and Check part below.</u>

Step-by-step explanation:

1. Isolate the variable by doing the inverse operation which is in this case subtracting 6 on bothsides of the equation.

8h + 6 < 50

- 6 - 6

8h < 44

2. Dive both sides of the equation by 8.

8h < 44

--- ----- <--------- fraction bar, divide

8 8

h < 5.5

4 0

1 year ago