Answer:
x = 2 or 1/4
Step-by-step explanation:
-13/4 -x= 1/2x -1
Collect like terms
-13/4+1=1/2x+x
Using LCM
(-13+4)/4=(1+2x²)/2x
9/4=(1+2x²)/2x
Cross multiply
9(2x)=4(1+2x²)
18x=4+8x²
Turn into quadratic and solve
8x²-18x+4
Using formulae method
-b±(√b²-4ac)/2a
Where a=8, b= -18 and c=4
(-(-18)±(√(-18)²-4(8)(4))/2(8)
(18±(√324-128))/16
(18±√196)/16
(18±14)/16
(18+14)/16 or (18-14)/16
32/16 or 4/16
2 or 1/4
Answer:
x = -6/11
Step-by-step explanation:
-6(-4x + 3) = 2(10x + 3)
-6 * -4x = -24x
-6 * 3 = -18
2 * 10x = 20x
2 * 3 = 6
-24x - 18 = 20x + 6
-20x -20x
-44x - 18 = 6
+18 +18
-44x = 24
------- ------
-44 -44
24/-44 = -24/44
-24/44 = -6/22
x = -6/11
Applying the law of sines, the approximate length of side YZ is: A. 15.7 units.
<h3>How to Apply the Law of Sines?</h3>
Law of sines is expressed as follows: x/sin X = y/sin Y = c/sin Z.
Given the following:
- x (YZ) = ?
- X = 32°
- z = 24
- Z = 180 - 32 - 94 = 54°
Plug in the values
x/sin 32 = 24/54
x = (sin 32 × 24)/sin 54
x ≈ 15.7 units.
Learn more about the law of sines on:
brainly.com/question/27174058
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the last one D)4.5298 l check in calculator it did not come correct but I say the last one
