Complete the table below.

Answer:

[tex] \huge{ \boxed{ \bold{ \tt( \: 0 \: ,5 \: )}}}[/tex]

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☞ First, Let's explore about Midpoint :

Midpoint of the segment simply means middle point of a line segment. Formula of Midpoint :

[tex] \boxed{ \sf{(x _{ \: m \: } ,\: y_{m}) = ( \frac{x_{1} + x_{2}}{2} ,\: \frac{y_{1} + y_{2}}{2} )}}[/tex]

where ,

The Midpoint Formula is used to find the exact center point between two defined points in a line segment.  The Midpoint formula is quite simple , so you should easily be able to remember it. It won't matter which point you pick to be the 'first" point you plug in. Just make sure that you're adding both an x to an x and a y to a y. Hence, keep in mind , in order to find the midpoint of a line segment, the first step is to add both ' x - co-ordinates' and divide it by 2 and then the second step is to add both ' y - co-ordinates ' and divide it by 2.

Now, Let's solve it!

☯ Question :

☯ Step - by - step explanation :

Let P ( x , y ) divide the line joining the points A ( - 2 , 7 ) and B ( 2 , 3 ). Now, let :

Apply midpoint formula , then plug the values and lastly simplify it :

[tex] \sf{ midpoint \: = \: ( \frac{x _{ \: 1 \: } + x _{ \: 2 \: }}{2} ,  \: \frac{y_{ \: 1 \: } + y _{ \: 2\: }}{2} })[/tex]

➺ [tex] \sf{midpoint = ( \frac{ - 2 + 2}{2},  \: \frac{7 + 3}{2} )}[/tex]

➺ [tex] \sf{midpoint = ( \frac{0}{2} ,  \: \frac{10}{2} )}[/tex]

➺ [tex] \boxed{ \sf{ midpoint = ( \: 0 \: , 5})}[/tex]

Hence , The midpoint of the segment with the end points A ( - 2 , 7 ) and B ( 2 , 3 ) is ( 0 , 5 ) .

Hope I helped!

Have a wonderful time ッ

~TheAnimeGirl ♡

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Answer:

c=√a²b²

Step-by-step explanation:

The positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

It is given that the formula of the Pythagorean theorem for a right-angle triangle is, a² + b² = c².

The value of c is calculated as:-

a² + b² = c²

Reverse the equation to calculate a.

c² =  a² + b²

Taking b² to the left side then the equation will become:-

a² = c² - b²

Taking square root on both sides of the equation.

[tex]\sqrt{a^2}=\sqrt{c^2-b^2[/tex]

[tex]a = \sqrt{c^2-b^2}[/tex]

Therefore, the positive value of 'a' in terms of b and c will be [tex]a =\sqrt{b^2-c^2}[/tex].

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Answer:

29

Step-by-step explanation:

3 x 8 = 54 - 25 = 29

Answer:

the answer is 30

Step-by-step explanation:

the mid-segment of a triangle is half of the side that is parallel to it

mid-segment MJ is parallel to line LK

LK is 60, half of 60 is 30

MJ is 30

Answer:

$187

10b + 13c

Step-by-step explanation:

Payment for babysitting = $10 per hour

Payment for clearing tables = $13 per hour

How much money would Stella earn in a week in which she worked 7 hours babysitting and 9 hours clearing tables?

Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours

= 10 × 7 + 13× 9

= 70 + 117

= $187

How much money would Stella

week in which she worked b hours babysitting and c hours clearing tables?

Total weekly payments = Payment for babysitting × number of hours + Payment for clearing tables × number of hours

= 10 × b + 13 × c

= 10b + 13c

Answer:

I think its an obtuse triangle

Answer:

120 kids prefer video games

Step-by-step explanation:

60% is .60

multiply .60 by 200 to get your answer.

.60 × 200 = 120

Answer:

2^1 + 3^1, 2^3 - 2^1 and 3^2.

Step-by-step explanation:

3^2 = 9.

2^3 - 2^1 = 8 - 2 = 6.

2^1 + 3^1 = 4.

Answer:

23.253528

Your welcome

Answer:

9.85

Step-by-step explanation:

I subtract 17.40 and 7.55 to get 9.85 they just wanted to know how much the pencil cost not erasers.

The cost of each pencil is $1.15.

A system of equations is used when there are two variables, and you are given two pieces of information about how those variables are related.

Given that, A combination of 3 erasers and 5 pencils cost $7.55. A combination of 6 erasers and 12 pencils cost $17.40.

Let e represents eraser and p represents a pencil.

Establishing the equations,

3e+5p = 7.55

6e+12p = 17.40

Solving by elimination, we get,

p = 1.15

Hence, The cost of each pencil is $1.15.

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Answer:

10%2B3x=26-5x Start with the given equation. 3x=26-5x-10 Subtract 10 from both sides. 3x%2B5x=26-10 Add 5x to both sides. 8x=26-10

Step-by-step explanation:

Answer:

- 2/3 is the answer

Answer:

1 2/9

Step-by-step explanation:

Answer: I- I- okay I’m not gonna answer that I-

Step-by-step explanation:

Answer:

I think it's 11/6 I think so

Answer:

a. 38

b.95

c.57

Step-by-step explanation:

Answer:

Yes,

Step-by-step explanation:

You take 64 miles for 2 gallons and divide it by 2. And it leads up to 32 miles and 1 gallon. Now you divide that by 2 again and get 16 miles and 1/2 gallon. So, to check that you can take 16+16 and you get 32 and take 32+32 and you get 64.

Answer:

Step-by-step explanation:

6x2−7x−5 / 2x+1

=    6x2−7x−5 / 2x+1

=    (3x−5)(2x+1)  / 2x+1

=3x−5

Answer:

8 liters

Step-by-step explanation:

Given that:

y = 2x

where y is the number of scoops of juice mix, and x is the liters of water required.

To determine the liters of water required for 16 scoops of juice mix;

y = 16

So that,

16 = 2x

x = [tex]\frac{16}{2}[/tex]

  = 8

x = 8 liters

Therefore, Austin would combine 8 liters of water to the 16 scoops of juice mix.

Answer:

A. has no solution

Step-by-step explanation:

[tex]\huge\underline\mathfrak\blue{Answer:-}[/tex]

The demoin is all real numbers greater than 6

The domain of the function is "All real numbers greater than 6".

Any exponential function may be represented in logarithmic form because logarithmic functions are the inverses of exponential functions.

The given equation is h(x) = 4log2(x-6) + 1.

The domain is the set of values that can be inserted into a function.

Note that the logarithmic of a negative number is not defined, therefore, the expression inside the log, x-6, must be greater than 0.

x - 6 > 0

x > 6

Hence, the domain of the function is "All real numbers greater than 6".

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The complete question is:

What is the domain of the function h(x)=4log_5(x−6)+1 ? Enter your answer in the box.

All real numbers greater than______

Answer:

Step-by-step explanation:

The Volume of a rectangular prism is expressed as;

V = Base area * height of prism

Given

Volume of prism V = 7,280 cubic inches.

height of prism = 26in

Required

Base Area

Substitute the given parameter into the formula;

7280 = 26B

B = 7280/26

B = 280in²

Hence the area of the newspaper on the bottom of the cage is 280in²

Answer:

346

Step-by-step explanation:

345.813 is rounded to 346

Answer:

346

Step-by-step explanation:

the 8 rounds it up to 6

Answer:

6tg67g76g76g76

Step-by-step explanation:

Answer:

There are 2 steps:

1. 90° counterclockwise rotation about the origin

2. Translation downward 2 units

Step-by-step explanation:

1. 90° counterclockwise rotation about the origin = (x, y) to (-y, x),

D moves from (-2, 4) to (-4, -2)

W moves from (-1, 2) to (-2, -1)

P moves from (3, 3) to (-3, 3)

2. Translation downward 2 units = (x, y) to (x, y-2),

D moves from (-4, -2) to (-4, -4) = M

W moves from (-2, -1) to (-2, -3) = J

P moves from (-3, 3) to (-3, 1) = S

Answer:

1164.1

Step-by-step explanation:

Answer:

Domain: [-1, 5]

Range: [-1, 2]

Step-by-step explanation:

Answer:

I think the second one I may be wrong tho

Answer:

greater then a hundred but less then 150

Step-by-step explanation:

I multilayered by 3.5

Answer:

multiple choice?

Step-by-step explanation:

Answer:

Cheesburger costs $3. Shake costs $4.

Step-by-step explanation:

c is cheesburger and s is large shake.

5c+2s=23

3c+3s=21

15c+6s=69

-6c-6s=-42

9c=27

c=3

Answer:

7.96

Step-by-step explanation: