Answer:
-x^2 - 20x -4 = 0
Step-by-step explanation:
I assume you meant (x-8)(2x+3) = (3x-5)(x+4).
Perform the two indicated multiplications and then combine like terms:
2x^2 + 3x - 16x - 24 = 3x^2 + 12x - 5x - 20
Combine the x terms on each side:
2x^2 - 13x - 24 = 3x^2 + 7x - 20
Subtract 3x^2 from both sides:
-x^2 - 13x - 24 = 7x - 20
Subtract 7x from both sides:
-x^2 - 20x - 24 = -20
Add 20 to both sides:
-x^2 - 20x -4 = 0 This is the desired quadratic equation.
Answer:
To solve for speed or rate use the formula for speed, s = d/t which means speed equals distance divided by time. To solve for time use the formula for time, t = d/s which means time equals distance divided by speed.
Step-by-step explanation:
Answer:
Angle 2 = 27 and Angle 1 = 135
Step-by-step explanation:
Let x = angle 2
Let 5x = angle 1
5x+x=162
6x=162
x=27
Angle 1 = 5(27)
Angle 1 = 135
Answer:
0.125
Step-by-step explanation:
A terminating decimal has a set or non infinite amount of numbers after the decimal point.
this decimal is a terminating decimal simply because it has an end to it.
Given that the formula is Cos θ = adj/hyp. We cannot apply the formula until we know what is the length of the hypotenuse.
To find hypotenuse, we will use the Pythagoras theorem:
a² + b² = c²
Substitute a = 6 and b = 8, we will be able to find c.
6² + 8² = c²
c² = 36 + 64
c² = 100
c = √100
c = 10
Now that we know that the hypotenuse is 10 units, we can find cos B:
Cos B = adj/hyp
Cos B = 8/10
Cos B = 4/5
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Answer: Cos B = 4/5
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