What is the domain and range

A mid-point divides a line segment into 2 equal parts . Hence the line is divided in 1 : 1 ratio.

Let

x(1) = -1

y(1) = -2

x(2) = -3

y(2) = 13

So according to Section formula , cordinate of the mid - point (x' , y') =

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

So using the formula & putting the values above

[tex]( \frac{ - 1 - 3}{2} , \frac{ - 2 + 13}{2} )[/tex]

[tex] = > ( \frac{ - 4}{2} , \frac{11}{2} )[/tex]

[tex] = > ( - 2 , 5.5)[/tex]

So the mid - point is (-2 , 5.5)

Answer:

yes ... 42/100 × 2/10= 21/250

Answer:

3.36 acres

Step-by-step explanation:

Answer:

-11.1

12°F= -11.1°C

Sorry if I'm late to answering..

The temperature of Alaska in degree celsius will be -11.11°C.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

For example, kilo gram to gram.

Given the temperature of Alaska 12° F.

Since we know,

°C = 5/9(°F - 32)

Given that.

°F → 12°F

So,

°C = 5/9(12 - 32)

°C = 5/9(-20)

°C = -11.11

Hence "The temperature of Alaska in degree celsius will be -11.11°C".

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Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

first divide 8 by 2 y0u will get 0 remainder

8/2=4          0 remainder

4/2 =2          0 remainder

2/2=1            0 remainder

1/2= 0            1 remainder

8= 1000 base 2

Answer:

basically it's a vertical line on -4

Answer:

P = 3x + 3 - x²

Step-by-step explanation:

Answer:

3 rows

Step-by-step explanation:

Answer:

3 rows

Step-by-step explanation:

you just divide

Answer:

X = -18

Step-by-step explanation:

7-18=-11

Answer:

298.15 K

Step-by-step explanation:

Answer:

D. y = 0.42x + 55

Step-by-step explanation:

Let the equation for the cost of the truck be represented by y = mx + b,

where y = cost of truck per mile, x = number of miles, m = charge of the truck per mile and b = rental fee.

We are given that,

Cost for Bob's truck ( y ) = $112.96 for x = 138 miles, and

Cost for Carl's truck ( y ) = $142.78 for x = 209 miles.

This gives us the equations,

142.78 = 209m + b

112.96 = 138m + b

Subtracting these equations, we get,

29.82 = 71m

i.e. m = 0.42

Substituting the value of ' m ' in first equation, we get,

142.78 = 209 × 0.42 + b

i.e. 142.78 = 87.78 + b

i.e. b = 55.

Hence, the equation for the cost of the truck is y = 0.42x + 55

Answer:

d.y = 0.42 x + 55

Step-by-step explanation:

Answer:

You can identify the parent function by making the equation into its simplest form.

Step-by-step explanation:

Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).  

ex. y= -3x^2+15

The parent function would be y=x^2 after removing everything.

Hope this helps! :)

Answer:

Yes

Step-by-step explanation:

Answer:

collinear segments

Step-by-step explanation:

Answer:I would say 3 but I am not 100% sure

Step-by-step explanation:

Answer:

B. 100

Step-by-step explanation:

[tex]3y+4+7y+9=143[/tex]

[tex]10x+13=143[/tex]  143-13=130

10x=130 divide both sides by 10 130/10= 13 x=13

MN=7(13)=91+9=100

LN=3(13)=39+4=43

100+43

Answer:

22 cm

Step-by-step explanation:

A hexagon has six sides. Since it is a regular hexagon, all of the sides have equal length, so we can multiply the length of one side, 3.6 by 6 to get the perimeter. 3.6 x 6 = 21.6. To the nearest centimeter, the upper bound is 22.

Hey there! I'm happy to help!

Tom has 150 already saved and for every hour he works, he will gain an extra $25. After h hours, he will have $300,

So, we multiply 25 by n, because for every hour he will have 25 added to his total, and repeated addition is multiplication, so we multiply 25 by n.

We add 150 as that is what we already have saved.

Finally, we want this to equal 300.

So, here is our equation.

25n+150=300

Now we solve. We subtract 150 from both sides.

25n=150

We divide both sides by 25.

n=6

Tom will have to work six hours to buy the iPhone.

Have a wonderful day! :D

Answer:

25(6)+150=300

Step-by-step explanation:

25x+150=300

25x=300-150

25x/25=150/25

x=6

Answer:

c

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

$1

Step-by-step explanation:

To set this ratio up, you would put $6 over 18lbs is equal to x over 3lbs.

Next, multiply $6 and 3lbs to give you 18.

Finally, divide 18 by 18 to give you a final answer of $1. Hope this helps!

The solution to the equation W - 2 + 2w = 6 + 5w is W = -4.

To solve the equation W - 2 + 2w = 6 + 5w,  follow these steps:

Begin by gathering the terms with W on one side and the terms without W on the other side of the equation.

Start by subtracting 2w from both sides:

W - 2 + 2w - 2w = 6 + 5w - 2w

Simplify:

W - 2 = 6 + 3w

Next, move the constant term (6) to the left side by subtracting 6 from both sides:

W - 2 - 6 = 6 + 3w - 6

Simplify:

W - 8 = 3w

Now, let's isolate the variable W by subtracting 3w from both sides:

W - 3w - 8 = 3w - 3w

Simplify:

-2w - 8 = 0

Finally, solve for W by adding 8 to both sides:

-2w - 8 + 8 = 0 + 8

Simplify:

-2w = 8

Divide both sides by -2 to isolate w:

(-2w) / -2 = 8 / -2

Simplify:

w = -4

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Answer:

Step-by-step explanation:

ΔABE ~ ΔACD

  AC/AB = AD/AE

  (10+x)/10 = (15+3)/15

  1 +x/10 = 1 +0.2 . . . expand each ratio

  x = 10(0.2) . . . . . . . subtract 1 and multiply by 10

  x = 2

__

ΔABE ~ ΔADC

  AC/AE = AD/AB

  (10+x)/15 = (15+3)/10

  10 +x = 27 . . . . . . . . multiply by 15

  x = 17 . . . . . . . . . . . . subtract 10

_____

Additional comment

The triangles can be declared similar in 6 ways, but it does no good to match a marked side with an unmarked side. Hence, only two of the possible similarity statements will result in a solution for x.

Answer:

This will give you 5/5

x = 17  

x=2  

Assuming triangle ABE is similar to ACD

Assuming traingle ABE is similar to ADC

Step-by-step explanation:

18/10 = 1.8 (S.F)

15 x 1.8 = 27

27-10 = 17

x = 17

15+3=18

18/15= 1.2 (S.F)

10x1.2= 12

12-10=2

x=2

Assuming triangle ABE is similar to ACD

Assuming triangle ABE is similar to ADC

Answer:

Hope that will help you

Answer:

10,11,12

Step-by-step explanation:

10+12=22

Answer:

  19 m

Step-by-step explanation:

The width is 2 less than the length, so the perimeter is ...

  P = 2(L +W)

  72 = 2(L +(L -2))

  76 = 4L . . . . . . . . add 4

  19 = L

The length of the rectangle is 19 meters.