Can someone solve for x lol
1 answer:
Answer:
x = 2
Step-by-step explanation:
Assuming the figure is a rhombus, the diagonal divides the figure into two isosceles triangles. That means the marked angles are congruent:
7x² -8 = 6x² -2x
x² +2x -8 = 0 . . . . . . . subtract 6x²-2x
(x +4)(x -2) = 0 . . . . . factor
x = -4 or x = 2 . . . . . values of x that make the factors zero
The only value of x that makes sense in this problem is ...
x = 2
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<em>Additional comment</em>
We know the base angles of an isosceles triangle must be less than 90°. As the attached graph shows, the angle measures for x=-4 would both be 104°, an impossible situation for this geometry.
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Answer:
The answer to your question is the second option
Step-by-step explanation:
Expression
Process
1.- Divide the fraction in numerator and denominator
a) Numerator
[(x²y³)⁻²]³ = (x⁻⁴y⁻⁶)³ = x⁻¹²y⁻¹⁸
b) Denominator
[(x⁶y³z)²]²= (x¹²y⁶z²)³ = x³⁶y¹⁸z⁶
2.- Simplify like terms
a) x⁻¹²x⁻³⁶ = x⁻⁴⁸
b) y⁻¹⁸y⁻¹⁸= y⁻³⁶
c) z⁻⁶
3.- Write the fraction