Answer:
4(30 +1)= 4(30) + 4(1)
Step-by-step explanation:
The property states a(b+c)= ab+ac.
30 and 1 equals 31, then you just plug the two numbers into the equation.
Answer:
{ - 2, 10 }
Step-by-step explanation:
Given
x² - 8x = 20
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 20 + 16, that is
(x - 4)² = 36 ( take the square root of both sides )
x - 4 = ± = ± 6 ( add 4 to both sides )
x = 4 ± 6
Thus
x = 4 - 6 = - 2
x = 4 + 6 = 10
Answer:
The roots are
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Step-by-step explanation:
9x² + 54x + 82 = 0
Using the quadratic formula
That's
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From the question
a = 9 , b = 54 , c = 82
Substitute the values into the above formula and solve
That's
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Separate the real and imaginary parts
That's
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We have the final answer as
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Hope this helps you
First you need to simplify the equation.
y + 3 = 2(x - 1)
y + 3 = 2x - 2
Then you need to put that into slope-intercept form (y = (slope)x + (y intercept))
y + 3 = 2x - 2
-3 -3
y = 2x - 5
The slope is the coefficient of x, so 2 is the slope of the line.
Answer:
x = 11.7
Step-by-step explanation:
sin of an angle is opposite/hypotenuse
sin 38 = x/19
x = 19 sin 38
x = 11.7
You need to memorize the definitions of all the trig functions and then this type of problem will be easy for you.