The answer is 1.5x10⁹ That is the scientific notation
X = -6y - 12
4x + 5y =-39
4x + 5y = -39
-4(-6y - 12) + 5y = -39
-4(-6y) + 4(12) + 5y = -39
24y + 48 + 5y = -39
29y + 48 = -39
29y = -87
y = -3
x = -6y - 12
x = -6(-3) - 12
x = 28 - 12
x = 6
(x, y) = (6, -3)
Answer:
a) 81
b) 16,807
c) 100
d) 78125
Step-by-step explanation:
a)
3^2 x 3^2
Step 1. Simplify the exponents
3^2 = 3 x 3 = 9
Step 2. Multiply
9 x 9 = 81
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b)
7 x 7^4
Step 1. Simplify the exponent
7^4 = 7 x 7 x 7 x 7 = 2401
Step 2. Multiply
7 x 2401 = 16,807
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c)
10^9 divided by 10^7
Step 1. Simplify the exponents
10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000
10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000
Step 2. Divide
1000000000 divided by 10000000 = 100
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d)
5^8 divided by 5
Step 1. Simplify the exponent
5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625
Step 2. Divide
390625 divided by 5 = 78125
To solve this problem, let us first assign some variables.
Let us say that:
d = represents the population density of the circular region
(in units of 513 people per square mile)
p = represents the population of the circular region (in
units of people)
r = is the radius of the circular region
Now we can see that if we divide p by d, we can get a value
which has a units of square mile. Thus the area of the region, hence:
Area = 79,000 people / (513 people per square mile)
Area = 154 square mile
The area of a circle has the formula:
Area = π r^2
Therefore calculating for r:
154 square mile = π r^2
r = 7 miles (ANSWER)
The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.
According to the given question.
We have a right angled triangle with the two side lengths 5 unit and 12 unit.
From the properties of a triangle we know that " the sum of the length of the two sides of a triangle is greater than the length of the third side". Or " the difference between the two sides of a triangle is less than the length of the third side".
Let the third side of the triangle be x units.
So, by the properties of a triangle we can say that
12 - 5 < x
⇒ 7 < x
And 12 + 5 > x
⇒ 17 > x
Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.
Find out more information about properties of a triangle here:
brainly.com/question/27711437
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