Please help this pea sized brain 8 x (-2) : 4 x 0 =
1 answer:
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Answer:
The point A will be (-8,14) or (-8,-10).
Step-by-step explanation:
Point B has coordinates (1,2) and the x-coordinate of point A is - 8.
Let us assume that the coordinates of point A are (-8,k).
Now, given that the point A is 15 units apart from point B.
Therefore, from the distance formula, we can write that
Now,squaring both sides, we get
⇒
⇒ 2 - k = ± 12
⇒ k = 14 or -10.
Therefore, the point A will be (-8,14) or (-8,-10). (Answer)
We know that the distance between two points on the coordinate plane () and (
) is given by
.
Answer:
The correct option is;
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
Which can be simplified as follows;
And further simplified as follows;
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
to increase m⁻¹(x) above the minimum.