Which expression uses the associative property to make it easier to evaluate
8(1.3)

A. 8(3

B. 43

C. (8)

D. (8)

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x

Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1

Perimeter of a rectangle = 2(length + breadth)

50 = 2(2x + 1 + x)

50 = 2(3x + 1)

50 = 6x + 2

6x = 50 - 2

6x = 48

x = 48/6

x= 8

Width = 8ft

Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft

Area = Length × Width = 17 × 8 = 136ft^2

The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have:

A line with a slope of 3 passes through the point (6,9).

m = 3

The line equation:

y = mx + c

y = 3x + c

9 = 3(6) + c

c = -9

y = 3x - 9

Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).

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Answer:

16

Step-by-step explanation:

Dealing with a fraction exponent on hand can be converted by using the fractional exponents rule where the fraction exponent is converted to something like this:

[tex]64^\frac{2}{3} = \sqrt[3]{64^{2}}\\[/tex]

As you can see, the denominator of the fractional exponent is now the index of the radical. Here is a guide to know what goes where.

[tex]64^\frac{x}{y} = \sqrt[y]{64^{x}}[/tex]

Both the original problem (64^2/3) and the converted formula can be put into a calculator.

Simplify (if you want to)

[tex]\sqrt[3]{64^{2}}\\\sqrt[3]{4096}\\16[/tex]

64 to the power of 2/3 is 16.

number 4 is in the thousanths place

Step-by-step explanation:

radius

(2,2)-(1,-3)=(1,5)

radius= 5.09 units

Answer:

[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

The length of the resulting line segment is 20 units and the length of a line segment is preserved on translation.

Step-by-step explanation:

The given length of the line segment is 20 units.

The line segment is translated up 6 units and left 8 units.

Here, the line segment is translated, so the whole line segment is at a new position after translation, there is no change in the length of the line.

So, the length of the line segment is preserved on translation.

After translation, the length of the line remains unchanged.

So, the length of the resulting line segment is 20 units.

Answer:

5 + 3a

Step-by-step explanation:

5 - a + 4a =

5 + ( -a + 4a ) =

5 + ( 4a - a ) =

5 + ( 3a )

The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.

Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.

There are four types of properties of equality.

Addition property, when two equal quantities are increased by a common value, the equality is preserved.

Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.

Subtraction property, equality is maintained when a common term is subtracted from two equal terms.

Multiplying by a common term do not alter the equality, according to the multiplication property of equality.

Given, An equation 3x + 2 - x = 11x + 9.

The first step would be subraction property of equality.

We'll subtract 2 from each side of the equation.

3x + 2 - x - 2 = 11x + 9 - 2.

3x - x = 11x + 7.

We choose subraction property of equality to separate the vriables and the constants.

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Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

Answer:

B) A and C

Step-by-step explanation:

A and C are negative reciprocals of each other.

Answer:

4:3

Step-by-step explanation:

16:12=8:6=4:3

Answer:

4:3

Step-by-step explanation:

16 and 12 can both be divided by 4

16/4 = 4 12/4 = 3

so your simplified ratio is 4:3

Answer:

The answer is D

Step-by-step explanation:

The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to

Answer:

12

Step-by-step explanation3%36

Answer:

1.015

Step-by-step explanation:

Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.

Answer:

0.01

Step-by-step explanation:

because if u subtract 1.01 from 1.02 it will give you the answer

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

Answer:

X= -4

Step-by-step explanation:

Hello. For to solve that, you need to use the sustitution method:

1. You need clear X in the first equation and put in the second

X+Y = -10

X = -10-Y

2.  Y = X-2, then you replaced the X in this equation:

Y = (-10-Y) - 2

Y+2=-10-Y

2Y=-10-2

2Y= -12

Y= -12/2

Y=-6

3. Now you use the Y value for to solve X:

X=-10-Y, then

X =- 10-(-6)

X = -4

Answer:

16+3=y

y=19

Step-by-step explanation:

Answer:

z > -108.5

Step-by-step explanation:

1. z/7+19>3.5

Subtract 19 from both sides

2. Z/7 > -15.5

Multiply both sides by 7

3. Z > -108.5

Answer: The point (5,7) is on the line 5x+6y = 67

=====================================================

Explanation:

(5,7) means x = 5 and y = 7 pair up

Plug in those values to get...

5x + 6y = 67

5*5 + 6*7 = 67

25 + 42 = 67

67 = 67

We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).

Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.

Answer: -2

Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0

Then you add 4 to 0 so -2r=4 then divide

Answer:

A

Step-by-step explanation:

Geometry has nothing to do with driving.