Order of operations with integers; please include steps 6- (-12) divided by 3
2 answers:
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Answer:
<u>Algebraically</u>
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
<u>Graphically</u>
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
Answer:
The required equation for the given point and the given slope is
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 8 ,-3)
To Find:
Equation of Line Passing through A( x₁ , y₁) with slope = -1/4
Solution:
Equation of a line passing through a points A( x₁ , y₁) and having slope m is given by the formula,
i.e equation in point - slope form
Now on substituting the slope and point A( x₁ , y₁) ≡ ( 8 ,-3) we get
The required equation for the given point and the given slope is