Answer:
x = -13
Step-by-step explanation:
Distribute:
8 - 6x + 10x - 15 = 20 - 5x
Combine like terms:
4x - 7 = 20 - 5x
Isolate Variable
-x = 13
-1(-x) = -1(13)
x = -13
-2x + 6 + 6x = 6 (2x - 3) <em>this is the equation</em>
-2x + 6 + 6x = 12x - 18 <em>distributive property has been applied</em>
4x + 6 = 12x - 18 <em>like terms have been added</em>
6 = 8x -18 <em>4x has been</em><em> </em><em>subtracted from both sides</em>
24 = 8x <em>-18 has been added to both sides</em>
3 = x <em>8 has been divided from both sides</em>
<em></em>
I hope this helps! Let me know if I need to explain more or if I got something wrong. Have a nice day!
Answer:
The sum of three times a number and 4
Answer:
1. x = 2√3 or 3.46
2. y = 4√3 or 6.93
3. z = 4√6 or 9.80
Step-by-step explanation:
1. Determination of the value of x.
Angle (θ) = 60°
Opposite = 6
Adjacent = x
Tan θ = Opposite /Adjacent
Tan 60 = 6 / x
√3 = 6/x
Cross multiply
x√3 = 6
Divide both side by √3
x = 6 / √3
Rationalise
x = (6 / √3) × (√3/√3)
x = 6√3 / 3
x = 2√3 or 3.46
2. Determination of the value of y.
Angle (θ) = 60°
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 60 = 6/y
√3/2 = 6/y
Cross multiply
y√3 = 2 × 6
y√3 = 12
Divide both side by √3
y = 12/√3
Rationalise
y = (12 / √3) × (√3/√3)
y = 12√3 / 3
y = 4√3 or 6.93
3. Determination of the value of z.
Angle (θ) = 45°
Opposite = y = 4√3
Hypothenus = z
Sine θ = Opposite /Hypothenus
Sine 45 = 4√3 / z
1/√2 = 4√3 / z
Cross multiply
z = √2 × 4√3
z = 4√6 or 9.80
im pretty sure you dont need exponents for this bud
3x-x-4x+4x
2x+0
2x
