The possible values of x are 5 and -1/12
<h3>Complete question</h3>Given that 2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1 find the possible values of x
<h3>How to determine the possible values of x?</h3>The ratio is given as:
2x − 1∶ x − 4 = 16x + 1 ∶ 2x − 1
Express as fraction
Cross multiply
4x^2 -4x + 1 = 16x^2 + x -64x - 4
Collect like terms
-16x^2 + 4x^2 + 64x - x - 4x + 1 + 4 = 0
Evaluate the like terms
-12x^2 + 59x + 5 = 0
Divide through by -1
12x^2 - 59x - 5 = 0
Expand
12x^2 + x - 60x - 5 = 0
Factorize
x(12x + 1) - 5(12x + 1) = 0
Factor out 12x + 1
(x - 5)(12x + 1) = 0
Expand
x - 5 = 0 or 12x + 1 = 0
Solve for x
x = 5 or x = -1/12
Hence, the possible values of x are 5 and -1/12
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The measure of the angle R is
Explanation:
It is given that the lengths of the triangle are PQ = 8 and QR = 3
To find the angle of R using the opposite and adjacent side, we shall use the tangent formula.
where opp = 8 and adj = 3
Thus, substituting these values in the formula, we get,
Multiplying both sides by , we get,
Dividing, we get,
Rounding off to the nearest tenth, we have,
Thus, the measure of the angle R is
Answer:
C
Step-by-step explanation:
If a number is to the power of a negative number, then it is just that number's reciprocal: e.g. y⁻ˣ =
Therefore, m⁻² will be m² in the denominator, as n⁻³ will be n³ in the numerator.
That will look like .
So, that is C.