Given the following expressions: A. 53 • 5–4 B. 3^5/3^-6 C.(1/4)^3 • (1/4)^2 D. (-7)^5/(-7)^7 Part 1: Use operations of exponent
2 answers:
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Option A:
Solution:
Given data:
Center of the circle is (5, 3).
Radius of the circle = 4
To find the equation of the circle:
The general form of the equation of a circle in centre-radius format is
where (h, k) is the centre of the circle and r is the radius of the circle.
Substitute the given values in the equation of a circle formula:
The equation of the given circle is .
Hence Option A is the correct answer.
Option B
5 hundredths is not the way to express 0.50
<h3><u>Solution:</u></h3>Given that Three of the choices are ways to express 0.50
To find: wrong option
Let us first write 0.50 in different ways
<h3><em><u>To convert a Decimal to a Fraction follow these steps: </u></em></h3>Step 1: Write down the decimal divided by 1, like this: decimal 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point. ...
Step 3: Simplify (or reduce) the fraction.
means 50 hundredths
On simplifying we can write,
means one half
Similarly, \frac{5}{10} means 5 tenths
<h3>Therefore Option C is also correct</h3>Thus the wrong option is B
<em><u>Justification:</u></em>
5 hundredths can be written as:
Therefore option B is wrong