The following diagrams show two rectangles.Given the perimeter of diagram A is 12cm while the perimeter of diagram B is twice the perimeter of diagram A.Find the values of x and y.​

Answer:

Step-by-step explanation:

The midpoint M of a line segment with two endpoints can be found using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The endpoints are (-2,-4) and (6,8)

The midpoint is

[tex]M = ( \frac{ - 2 + 6}{2} , \frac{ - 4 +8 }{2} ) \\ = ( \frac{4}{2} , \frac{ 4 }{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

its 10.86

Step-by-step explanation:

add the whole numbers, the add the decimals

8 + 2= 10

.08 + .78 = .86

or 8 + 78 = 86

Answer:

y = 5

Step-by-step explanation:

y + 6 = -3y + 26

4y + 6 = 26

4y = 20

y = 5

Answer:

Y=5

Step-by-step explanation:

1 Subtract 6 from both sides.

y=−3y+26−6

2 Simplify   -3y+26-6−3y+26−6  to  -3y+20−3y+20.

y=−3y+20

3 Add 3y to both sides.

y+3y=20

4.Simplify y+3y to 4y

4y=20

5 Divide both sides by 4.

y=20/4

Simplify 20/4

y=5

Answer:

D. none of these

Step-by-step explanation:

apples:       6 pounds

oranges:   24 pounds

bananas:     3 pounds

total:          33  pounds

answer:

D. none of these

Answer:

144 square feet

Step-by-step explanation:

a square has 4 equal sides + perimeter is the addition of n sides in an n sided shape. 48/4 = 12 so there is 12 feet per side. Area is length times height so 12 x 12 or 144. Two terms multiplied create a square feet so answer is c

Answer:

Step-by-step explanation −2=x

Answer:

√(64/25)^2.

=(8/5)^-1.

1÷8/5.

5/8

Answer:

3

Step-by-step explanation:

To simplify this expression, we will simply work with the numerator, then the denominator, and then the fraction as a whole, following PEMDAS.

Numerator:  12 - 6 + 5 * (-3)^2

= 12 - 6 + 5 * (9)

= 12 - 6 + 45

= 6 + 45

= 51

Denominator:  17

So our simplified fraction is as follows:

51/17

Which can be reduced to the whole number, 3.

Cheers.

Answer:

18 ( 2+3)

Step-by-step explanation:

36 + 54

We can factor out 18 from both terms

18*2 + 18*3

18 ( 2+3)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 1 = - 41}[/tex]

Move 7 to right hand side and change it's sign

[tex] \dashrightarrow \sf{ - 6x = - 41 - 1}[/tex]

Calculate

[tex] \dashrightarrow{\sf{ - 6x = - 42}}[/tex]

Divide both sides by -6

[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 42}{ - 6} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 7}}[/tex]

Hope I helped!

Best regards! :D

-6x+1=-41.                                                                     -6x= -42.                                                                   (-6x/6=x) (-42/6=7).                                                     X=7

Answer:

3² + 6 × 2² - 4² ÷ 2³ = 31.

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3^2=9

2^2=4

-4^2= -16

2^3=8

9+6*4-16/8=31

Answer:

Step-by-step explanation:

To prove a quadrilateral a parallelogram we prove,

1). Length of opposite sides are equal.

2). Slopes of the opposite sides are same.

Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                      = [tex]\sqrt{(2+1)^2+(-5+2)^2}[/tex]

                      = [tex]3\sqrt{2}[/tex]

Length of BC = [tex]\sqrt{(2-1)^2+(-5+2)^2}[/tex]

                      = [tex]\sqrt{10}[/tex]

Length of CD = [tex]\sqrt{(1+2)^2+(-2-1)^2}[/tex]

                      = [tex]3\sqrt{2}[/tex]

Length of AD = [tex]\sqrt{(-1+2)^2+(-2-1)^2}[/tex]

                      = [tex]\sqrt{10}[/tex]

Therefore, AB = CD and BC = AD (Opposite sides are equal in length)

Slope of AB = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                    = [tex]\frac{-5+2}{2+1}[/tex]

                    = -1

Slope of BC = [tex]\frac{-5+2}{2-1}[/tex]

                    = -3

Slope of CD = [tex]\frac{1+2}{-2-1}[/tex]

                    = -1

Slope of AD = [tex]\frac{-2-1}{-1+2}[/tex]

                    = -3

Slope of AB = slope of CD and slope of BC = slope AD

Therefore, AB║CD and BC║AD

Hence ABCD is a parallelogram

Answer:

27 − 109 t − 10 s

Step-by-step explanation:

Use Distributive Property and Simplify

9x3 =27

9x3t = 27t

27t-2t =25t

Equation so far: 27 + 25t

Next Pair of Perentheis

-10x8t =(-80t) (Remeber a Negative time a positive is still a negative)

-10xs =(-10s)

Put it all together and your answer is;

27 − 109 t − 10 s

Answer:

it's 27 − 109t − 10s

Step-by-step explanation:

Follow PEMDAS and the Distributive Property

Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a  point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner  (2-dimensional) triangle shape

Step-by-step explanation:

Answer:

8 or 32

Step-by-step explanation:

So we are given two coordinates and the length of the segment formed by those coordinates.

To find the unknown coordinate, we can use the distance formula. Let the unknown value be n:

Let's let (-2,n) be x₁ and y₁ and let (-7,20) be x₂ and y₂.

The distance formula is given by the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute (-2,n) for x₁ and y₁ and (-7,20) for x₂ and y₂. Also, since we already know that the length is 13, substitute it for d. Thus:

[tex](13)=\sqrt{((-7)-(-2))^2+((20)-(n))^2}[/tex]

Do the operations within the parentheses:

[tex]13=\sqrt{(-7+2)^2+(20-n)^2}\\13=\sqrt{(-5)^2+(20-n)^2}[/tex]

Now, square both sides to take out the square root:

[tex](13)^2=(\sqrt{(-5)^2+(20-n)^2})^2[/tex]

Simplify:

[tex]169=(-5)^2+(20-n)^2[/tex]

Square (-5):

[tex]169=25+(20-n)^2[/tex]

Subtract 25 from both sides. The right cancels:

[tex](169)-25=(25+(20-n)^2)-25\\144=(20-n)^2[/tex]

Now, take the square root of both sides.

[tex]\pm\sqrt{144}=\sqrt{(20-n)^2}[/tex]

Simplify:

[tex]\pm12=(20-n)[/tex]

So, we have two solutions:

[tex](12=20-n)\text { or }(-12=20-n)[/tex]

On the left, subtract 20. On the right, also subtract 20:

[tex](-8=-n)\text { or }(-32=-n)[/tex]

Divide both sides by -1:

[tex](n=8)\text{ or } (n=32)[/tex]

So, our two possible answers are 8 or 32.

Answer:

F = 100 + 0.1d

Step-by-step explanation:

Then equation to find a fee per vertical distance:

So the fee for climbing vertical distance is $0.1 per meter.

Then, required equation is:

Answer:

6

Step-by-step explanation:

|-6| = 6

Answer:

6

Step-by-step explanation:

you can also understand absolute value as the distance in the number line from -6 to 0

and that's 0-(-6)

=6

so

|-6|=6

Answer: -6

Step-by-step explanation:

Let x= the number

2x-4=x-10 ⇔ according to the statement

  x-4=-10 ⇔ subtraction property of equality (subtract x from both sides)

     x=-6 ⇔ addition property of equality (add 4 on both sides)

Hope this helps!! :)

Please let me know if you have any question

Answer:

n = -6

Step-by-step explanation:

Alright so this can be solved by using variables. Let's say n = number.

4 subtracted from twice a number can be represented as 2n - 4.

10 less than the number can be represented as n - 10.

Since the outcome of the first expression is equal to the second, we can set them equal to each other to solve:

2n - 4 = n - 10.

Then you isolate n by adding 4 to both sides...

2n = n - 6,

... then subtracting n from both sides:

n = -6

There you go!

Answer:

You cannot

Step-by-step explanation:

You cannot multiply a 2×3 matrix by a 2×2 matrix. The number of columns in the first matrix ( 3 ) is not the same as the number of rows in the second matrix ( 2 ).

Answer:

-4

Step-by-step explanation:

-4x is a term

Coefficient of variable x = -4

Answer:  n =-4

Step-by-step explanation:

-52 = 4(3n -1)    Apply the distributive property

-52 = 12n -4    

+4             +4

  -48 = 12n

n = -4

Answer:

A. 2^-6

C. 4^-3

Step-by-step explanation:

Iris found a value of 1/64 when she evaluated an expression.

Which could have been the expression Iris evaluated? Check all that apply.

A. 2^-6

B. 6^-4

C. 4^-3

D. (1/2)^-5

E. (1/4)^-3

A. 2^-6

= 1 / 2^6

= 1 / 2*2*2*2*2*2

= 1 / 64

B. 6^-4

= 1 / 6^4

= 1 / 6*6*6*6

= 1 / 1,296

C. 4^-3

= 1 / 4^3

= 1 / 4*4*4

= 1 / 64

D. (1/2)^-5

= 1 ÷ (1/2)^5

= 1 × 2/1^5

= 2^5

= 2*2*2*2*2

= 32

E. (1/4)^-3

= 1 ÷ (1/4)^3

= 1 × 4/1^3

= 4^3

= 4*4*4

= 64

Options A. 2^-6 and C. 4^-3 are equivalent to 1/64

Answer:

2-6,4-3

Step-by-step explanation:

Answer:

26.8336 ≈ 26.83

Step-by-step explanation:

If x < 5, then we round down.

If x ≥ 5, then we round up.

2 decimal places is the hundredths place.

26.8336

3 < 5, so we round down

26.83

Answer:

A=0 B=4 C=2

Step-by-step explanation:

check your answer in the attached file

Answer:

n = 10

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

-2 = -(n - 8)

Step 2: Parenthesis (distribute)

-2 = -n + 8

Step 3: Subtract 8 on both sides

-10 = -n

Step 4: Divide both sides by -1

10 = n

Step 5: Rewrite

n = 10

Answer:

[tex]n=10[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-2=-(n-8)[/tex]

First, divide both sides by -1. The left will become positive, and the negative in front of the parentheses will be canceled:

[tex](-2)/-1=(-(n-8))/-1\\2=n-8[/tex]

Add 8 to both sides. The right cancels:

[tex]2+8=(n-8)+8\\n=10[/tex]

So, the value of n is 10.

And we're done!

Answer:

[tex] \sqrt{4} = 2[/tex]

Step by step explaination:

[tex] \sqrt{4} \\ = \sqrt{ {2}^{2} } \\ = 2[/tex]

[tex]\sf\therefore \sqrt{4}=? [/tex]

[tex]\sf\implies \sqrt{ 2 \times2} [/tex]

[tex]\sf\implies \sqrt{2^2} [/tex]

[tex]\sf\implies 2[/tex]

[tex]\large{\boxed{\bf{ \implies \:2\:}}}[/tex]

Answer:

1 pint=32    1 quart=64    1 gallon=256

Step-by-step explanation:

Answer:

Hey there!

Perimeter: 24

Area: 24

36+64=x^2

x=10

Perimeter: 10+6+8=24

Area: 1/2bh, 1/2(48)=24

Both the area and perimeter are 24.

Hope this helps :)

Answer:

P=24

A=24

Step-by-step explanation:

To get the perimeter and area of this figure, first we would have to get the value of c using the Pythagorean theorem.

a^2+b^2=c^2

(6)^2+(8)^2=c^2

36+64=c^2

100=c^2

10=c

Perimeter= a+b+c

P=6+8+10

P=14+10

P=24

A=1/2*b*h

A=1/2*6*8

A=3*8

A=24

Hope this helps ;) ❤❤❤

Answer:

x = 4/7

Step-by-step explanation:

[tex]2\left(3x-1\right)=5-\left(x+3\right)\\\\\mathrm{Expand\:}2\left(3x-1\right):\quad 6x-2\\\\\mathrm{Expand\:}5-\left(x+3\right):\quad -x+2\\6x-2=-x+2\\\\\mathrm{Add\:}2\mathrm{\:to\:both\:sides}\\6x-2+2=-x+2+2\\\\Simplify\\6x=-x+4\\\\\mathrm{Add\:}x\mathrm{\:to\:both\:sides}\\6x+x=-x+4+x\\\\Simplify\\7x=4\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}=\frac{4}{7}\\\\x=\frac{4}{7}[/tex]

Answer:

x = 4/7

Step-by-step explanation:

2(3x – 1) = 5 – (x + 3)

Distribute

6x -2 = 5 -x -3

Combine like terms

6x -2 = 2-x

Add x to each side

6x +x -2 = 2-x+x

7x -2 = 2

Add 2 to each side

7x-2+2 =2+2

7x =4

Divide by 7

7x/7 = 4/7

x = 4/7

Answer:

[tex]\Huge \boxed{\mathrm{7}}[/tex]

Step-by-step explanation:

[tex](-8)+8-(-7)[/tex]

Distributing the negative sign to the term in the bracket.

[tex]\Rightarrow (-8)+8+7[/tex]

Combining.

[tex]\Rightarrow 7[/tex]