9514 1404 393
Answer:
D
Step-by-step explanation:
The first equation of System 2 is the first equation of System 1.
The second equation has an x-coefficient of (A-L). The coefficients of x in System 1 are A and L, so (A-L) is their difference. The second equation of System 2 is the difference of the equations in System 1.
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This is described by Choice D:
The second equation in System 2 is the difference of the equations in System 1. The first equation in System 2 is the first equation in System 1.
The line equation in slope-intercept form is given by
where b is the y-intercept and m is the slope.
Then, we need to convert the given equation into the slope-intercept form. Then, by subtracting 10x to both sides, we have
and by dividing both sides by 2, we get
By comparing this result with the first equation, we can see that the slope is m= -5. So, the answer is: -5
500
0.87
2.9
It’s right I got it wrong two times and the program told me those were the right answers
Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
