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san4es73 [151]
3 years ago
15

Which property justifies this statement? If x=3, then x−3=0. Subtraction Property of Equality Division Property of Equality Refl

exive Property of Equality Multiplication Property of Equality
Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0

Answer:

Subtraction Property of Equality Division

Hope this helps (Just took the test btw)

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A scale drawing of Joshua's living room is shown below:
Nadya [2.5K]
To find the answer, first lets divide the width and length by the scale amount given, 2 cm.

Width: 4 cm / 2 cm = 2

Length: 6 cm / 2 cm = 3


After this, we multiply the result by the amount to scale up, in this case 4 feet.

Width: 2 * 4 = 8 feet


Length: 3 * 4 = 12 feet

Therefore the answer is the first option.
5 0
3 years ago
The population of Collin County, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010.
Luden [163]

Answer:

p=ak^t

p1=491272*k^0

p2=782341*k^10

782341/491272 = k^10

k=1.047629

growth rate is 4.7629%

2012: predicted population is 491272*1.047629^12=858,642 people

1245863=491272*1.047629^t

1.047629^k=2.5363599

ln both sides is k ln 1.0476=ln 2.5363

t=20.000 years.

Rule of 72 would say 72/4.76 or 15.12 years for doubling

14.90 years

2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.

6 0
3 years ago
The measures of angles of a hexagon 4x,5x,6x,7x,8x,9x.calculate the size of the largest angle.
grandymaker [24]

Answer:

166 2/13 deg

Step-by-step explanation:

The sum of the measures of the interior angles of a convex polygon of n sides is 180(n - 2).

A hexagon has 6 sides, so n = 6.

sum of measures of angles = 180(n - 2) = 180(6 - 2) = 180(4) = 720

4x + 5x + 6x + 7x + 8x + 9x = 720

39x = 720

x = 720/39

x = 240/13

The largest angle has measure 9x.

9x = 9 * 240/13 = 2160/13

2160/13 = 166 2/13

Answer: 166 2/13 deg

3 0
3 years ago
Rafael wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle. Its length is 13 feet and its w
kogti [31]

Answer:

$819

Step-by-step explanation:

First we find the area of the wall so we multiply 13ft x 9ft.

13ft x 9ft = 117ft

We know each square foot is equal to $7. So now we multiply 117 x 7 to get the total cost.

117 x 7 = $819

4 0
2 years ago
Read 2 more answers
Expand and simplify x(x − 3)(x + 5)
konstantin123 [22]

Answer: x³+2x²-15x

Step-by-step explanation:

1. Expand

(x²-3x)(x+5)

2. Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd

x³+5x²−3x²−15x

3. Collect like terms

x³+(5x²−3x​²)−15x

4. Simplify

x³+2x²-15x

Hope this helps, have a BLESSED and wonderful day! ;-)

6 0
3 years ago
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