a) Another name for Plane P is:

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:

  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.

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:

298.15 K

Step-by-step explanation:

Answer:

Perimeter = 6x² + 8x

Step-by-step explanation:

Perimeter = 2(length + width)

perimeter = 2((x²+x)+(2x²+3x))

perimeter = 2(x²+2x² + x+3x)

perimeter = 2(3x² + 4x)

perimeter = 2*3x² + 2*4x

perimeter = 6x² + 8x

Answer:

3

1

4

-2

Step-by-step explanation:

imma math mannnnn

Answer:

3.36 acres

Step-by-step explanation:

Answer:

Hope that will help you

Answer:

Step-by-step explanation:

Here is a picture of the answer, since I couldn't put into words!

The mass of 15 liters of oil is 13.65 kg.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Density is the ratio of the mass of the body to the volume of the body.

Density = Mass / Volume

Given that oil has a density of 0.91 grams per milliliter

To determines the mass, in kilograms, of 15 liters of this oil

Rearranging the equation,

Mass = Density × Volume

∵ 15 liters = 15000 milliliters (ml)

So, 0.91g/ml x 15000ml = 13650g

∵ 1 kilogram = 1000grams

⇒ 13650g / 1000g/kg

⇒ 13.65kg

Thus, the mass of 15 liters of oil is 13.65kg.

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

Step-by-step explanation:

Answer:

10,11,12

Step-by-step explanation:

10+12=22

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:

Yes

Step-by-step explanation:

Answer:

collinear segments

Step-by-step explanation:

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.

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:

3 rows

Step-by-step explanation:

Answer:

3 rows

Step-by-step explanation:

you just divide

LCM of 7,8 and 9 is 504

7=1,7

8=2x2x2

9=3×3

LCM =2x2x2x3x3x7 =504

Answer:

37 1/3 cm

Step-by-step explanation:

21 + 7 = 28

28 + 9 = 37

37 + 1/3 = 37 1/3

Answer:

c

Step-by-step explanation:

Please see the attached picture for full solution.

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:

P = 3x + 3 - x²

Step-by-step explanation:

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:

X = -18

Step-by-step explanation:

7-18=-11