If you consider the logarithm base 3 of both sides, you have
You can use a rule of logarithms that allow you to turn exponents into multiplicative factors:
So the equation becomes
Now, by definition, you have
So, you have
So, the equation becomes
Distribute -
(Multiplying by 0.5 is same as divide by 2)
10x-25x+18 - 25x -10y + 3
The answer is C
Answer:
Step-by-step explanation:
(s/2)^2+h^2=s^2
h^2=s^2-(s^2/4)
h^2=(3s^2)/4
h=(s/2)(3^(1/2)), s=20
h=10(3^(1/2)) simplest radical form 10 times square root of 3
h=17.32 approximate decimal to nearest one hundredth
Step-by-step explanation:
Really really sorry if I'm wrong...
<u>Y2 -Y1</u>
X2 - X1
<u>-20 - - 8</u>
-9 - -5
<u>-12</u>
-4
(simplified): <u>-3</u>
-1
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
