If AB = 15, BC = 12, and CA = 8, list the angles of angle abc in order from smallest to largest
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The type of numbers, rational and irrational from the numbers Keisha writes are;
a. Rational numbers; -9, 3.0, 2, and 2.42
b. Irrational numbers; √8
<h3>What is the difference between rational and irrational numbers?</h3>Rational numbers are numbers are numbers that can be expressed as a ratio of two whole numbers P/Q, in which, <em>Q </em>≠ 0
Irrational numbers are those that cannot be expressed as a fraction P/Q
The given numbers are;
-9, √8, 3.0, 2, 2.42
- -9 = -9/1
- √8 = 2•√2 (√2 cannot be expressed as a fraction of two whole numbers)
- 3.0 = 3/1
- 2 = 2/1
a. The rational numbers are therefore;
- -9, 3.0, 2, and 2.42
b. The irrational number is; √8
Learn more about rational and irrational numbers here:
#SPJ1
Step-by-step explanation:
<u>Given</u>: √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
<u>Asked</u>: Find the value of x = ?
<u>Solution:</u> Given that √{32⁰ + (2/3)} = (0.6)²⁻³ˣ
⇛√{1 + (2/3)} = (0.6)²⁻³ˣ
⇛√{(1/1) + (2/3) = (0.6)²⁻³ˣ
⇛√{(1*3 + 2*1)/3} = (0.6)²⁻³ˣ
⇛√{(3 + 2)/3} = (0.6)²⁻³ˣ
⇛√(5/3) = (0.6)²⁻³ˣ
Squaring on both sides then
⇛{√(5/3)}² = {(0.6)²⁻³ˣ}²
⇛√(5²/3²) = {0.6}(²⁻³ˣ)²
⇛√{(5*5)/(3*3)} = {0.6}(²⁻³ˣ)²
⇛5/3 = {0.6}(²⁻³ˣ)²
[ (aᵐ)ⁿ = aᵐⁿ]
⇛5/3 = (0.6)²*²⁻³ˣ*²
⇛5/3 = (0.6)⁴⁻⁶ˣ
⇛5/3 = (6/10)⁴⁻⁶ˣ
⇛5/3 = {(6÷2)/(10÷2)})⁴⁻⁶ˣ
⇛5/3 = (3/5)⁴⁻⁶ˣ
⇛(3/5))⁻¹ = (3/5)⁴⁻⁶ˣ
[ a⁻ⁿ = 1/aⁿ]
Base are the same, so the exponents must be equal.
-1 = 4 - 6x
Shift the number 4 from RHS to LHS, changing it's sign.
⇛-1 - 4 = -6x
⇛-5 = -6x
⇛x = {(-5)/(-6)}
x = 5/6
<u>Answer</u><u>:</u> Hence, the value of x for the given problem is 5/6.
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(3^-2 × 4^-2)^-3 = 12^x In the given expression find the value of x. brainly.com/question/25746273?referrer