Name the algebraic property demonstrated in the example below:
3 ⋅ (x ⋅ y) = (3 ⋅ x) ⋅ y

Answer:

[tex] - 13= \frac{r}{9} + 8 \\ \frac{r}{9} = - 13 - 8 \\ \frac{r}{9} = - 21 \\ r = 9 \times - 21 \\ r = - 189[/tex]

I hope I helped you^_^

Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

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Answer:

y=3

Step-by-step explanation:

6=2(y+2)-4

6=2y+4-4

6-4+4=2y

6=2y

3=y

The answer you are looking for is y=3.

Solution/Explanation:

First, writing out the problem,

6=2(y+2)-4.

Next, using the Distributive Property for 2(y+2), which is 2y+4,

6=2y+4-4.

Now, canceling out the 4, since 4-4=0,

6=2y+0, or 6=2y.

Finally, dividing both sides by 2,

6/2=2y/2.

6/2=3.

2y/2=y.

3=y, or y=3.

So, therefore, the final answer is y=3.

I hope that this has helped answer your question. Good day to you.

Answer: 1(7/8), 1.75, 2(1/4), 2.4

Answer:

Step-by-step explanation:

A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12

so 1 width is half of 12 which is 6

Answer:

Step 1

Step-by-step explanation:

[tex]7 \times (8 - 3\times 2)[/tex]

Step 1:

[tex] = 7 \times (8 - 6)[/tex]

Step 2:

[tex]7 \times 2[/tex]

Step 3:

[tex]14[/tex]

Answer:

$0.98

Step-by-step explanation:

2 quarts = 8 cups.

$7.84 / 8 = 0.98

Please mark me as Brainliest if correct.

Answer:

(2-5i)(p+q)

p=2

q=5i

(2-5i)(2+5i)

a²-b²=(a+b)(a-b)

2²-(5i)²

4-(5i)²

i²=-1

4+25=29

answer 29

Answer:

Fdssawweerttyyyhjiokmnbvvffffdeewwsstttggytrf

Step-by-step explanation:

Yttfffrdeesdcxfftggvbred

Answer:

[tex]6x + 4 = 5 - (x + 1)[/tex]

open the bracket, [ distribution property ]

[tex]6x + 4 = 5 - x - 1 \\ 6x + 4 = 4 - x[/tex]

collect like terms:

[tex]6x + x = 4 - 4 \\ 7x = 0 \\{ \boxed{ \boxed{ x = 0}}}[/tex]

Answer:

y = [tex]\frac{ac}{a-b-c}[/tex]

Step-by-step explanation:

Given

y(a - b) = c(y + a) ← distribute parenthesis on both sides

ay - by = cy + ac ( subtract cy from both sides )

ay - by - cy = ac ← factor out y from each term on the left side

y(a - b - c) = ac ← divide both sides by a - b - c

y = [tex]\frac{ac}{a-b-c}[/tex]

The value of y is ac/ (a-b-c)

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

For example, 3y = 16 is an equation.

Given equation:

y(a-b)=c(y+a)

Now, using distributive property

ay-by = cy + ac

ay-by-cy = ac

y(a-b-c)=ac

y= ac/ (a-b-c)

Hence, the value of y is ac/ (a-b-c).

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Answer:

Correct option is: 9:6:5

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

-4.7≥b

Step-by-step explanation:

+1/4b

8=27+1/4b

-27

-19=1/4b

1/4

-4.7≥b

Answer:

b ≤ = -76

Step-by-step explanation:

8 – 1/4b ≥ 27

Subtract 8 on both sides

-1/4b ≥ 19

Times -4 on both sides

b ≤ -76

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ thank \: you [/tex]

Answer:

A scalene triangle is a triangle with three different angles

Answer:

The system of equations:

Solve by elimination.

Triple the first equation, double the second one, subtract the second from the first and solve for y:

Find x:

The solution is:

Simplifying in steps:

Answer:

the answers is -4.9

Step-by-step explanation:

if you count from -4.5 to the blue dot it will be -4.9

Answer:

4^2 * 4^8 = B)4^10

Step-by-step explanation:

When multiplying numbers with exponents, you will always add the exponents together. Therefore, 2+8=10 which is 4^10. You can also simplify the numbers and multiply them together. For example, 4^2=16 and 4^8=65,536 and when u multiply those numbers you get 1,048,576. The one that matches is 4^10=1,048,576.

Answer:

intersection

is your answer

Answer:

intersection is write i think .

[tex]\sf \orange {Please \: attach \: the \: picture \: of \:}[/tex]

[tex]\sf \green {the \: Quadrilateral \: please.} \: [/tex]

9514 1404 393

Answer:

  21 square units

Step-by-step explanation:

The formula for the area of a parallelogram is ...

  A = bh

where h is the height measured perpendicular to the base.

Here, it is convenient to use the horizontal dimension as the height, and the vertical dimension as the base. The vertical bases are 3 units long and 7 units apart horizontally.

  A = (3)(7) = 21 . . . . square units

its 3 hope this helpssss

Answer:

C is -14, 7, 14, 28

not sure what D is

Step-by-step explanation:

If a segment XZ joining two endpoints X[tex](x_1,y_1)[/tex] and Z[tex](x_2,y_2)[/tex] is divided by a point Y(x, y) externally in the ratio of m : n,

Coordinates of the point will be,

x - coordinates → [tex]\frac{mx_2-nx_1}{m-n}[/tex]

y - coordinates → [tex]\frac{my_2-ny_1}{m-n}[/tex]

If the coordinates of the endpoints X and Z are (1, 9) and (5, -11) respectively and the ratio in which a point Y divides the segment is 1 : 5,

(Since, XY : XZ = 1 : 4 therefore, XY : YZ = 1 : 5)

Therefore, coordinates of Y will be,

x- coordinates → [tex]\frac{1(5)-5(1)}{1-4}=0[/tex]

y-coordinates → [tex]\frac{1(-11)-5(9)}{1-5}=\frac{-56}{-4}=14[/tex]

Therefore, coordinates of Y will be [tex](0,14)[/tex].

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Answer:

Step-by-step explanation:

Temperature at 5 am = -7° F

Temperature at 9 am = 4° F

Temperature at 11 am =4 + 3.5 * 4 = 4 +  14 = 18° F

Total increase = 18 - (-4) = 18 + 4 = 22° F

Let's give Cindy's age a variable.

Cindy's age = x

Cindy multiplies her age by 5

x(5)

Subtracted by 12

x(5) - 12

Divide by 3

(5x - 12)/3

The result was 16

(5x - 12)/3 = 16

Let's solve

Multiply both sides by 3

(5x - 12) = 48

Open brackets

5x - 12 = 48

Add 12 to both sides

5x = 60

Divide by 5 on both sides to isolate x

x = 12

Cindy is 12 years old.