Solve for x in the equation 3 x squared minus 18 x + 5 = 47.
1 answer:
Answer:
first option
Step-by-step explanation:
3x² - 18x + 5 = 47 ( subtract 5 from both sides )
3x² - 18x = 42 ( divide through by 3 )
x² - 6x = 14
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 14 + 9
(x - 3)² = 23 ( take square root of both sides )
x - 3 = ± ( add 3 to both sides )
x = 3 ±
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Answer:
C (Hypotenuse) = 9.9
Step-by-step explanation:
Given the two sides of a triangle, where a = 7, and b = 7:
We can use the Pythagorean Theorem where it states: c² = a² + b².
Substitute the given values into the Pythagorean Theorem to find the length of the <u><em>hypotenuse</em></u>.
c² = a² + b²
c² = 7² + 7²
c² = 49 + 49
c² = 98
c = 9.89 or 9.9
Therefore, the length of the hypotenuse is 9.9, making the given triangle an isoceles triangle with two equal sides.