Answer:
B
Step-by-step explanation:
think of the ratios as equivalent fractions. 2 over 14 is NOT equal to 3 over 42.
If we write out the expression √4√6/√3√2, then we get the solution to the surd as 2.
<h3>What is a surd?</h3>
A surd is an irrational number which is often shown as a square root. In this case, we have the value; √4√6/√3√2.
This is the same as; 2√6/√6. This now implies that we can cancel out the surd form which is shown as √6 hence the result of the expression is 2.
Learn more about surd:brainly.com/question/24700530
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The pattern is - 8 so the answer is 12.
Answer:
h = 6
Step-by-step explanation:
We need to use Pythagorean theorem.
h² + 8² = 10²
h² = 100 - 64 = 36
h = 6
Answer:
see explanation
Step-by-step explanation:
Using the laws of logarithms
• log x - log y = log(
)
•
x = n ⇔ x = 
Hence
(
) = 2, hence
= x² ( multiply both sides by 4 )
8x - 3 = 4x² ← rearrange into standard form
Subtract 8x - 3 from both sides
4x² - 8x + 3 = 0 ← in standard form
(2x - 1)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 