Answer:
168
Step-by-step explanation:
Answer:
<em>y - 7 = 1 (x-5)</em>
Step-by-step explanation:
The point slope equation of a line is expressed as;
y - y0 = m(x-x0)
m is the slope
(x0, y0) is the point on the line
Given the following
m = 1
(x0, y0) = (5, 7)
Substitute into the formula
y - 7 = 1 (x - 5)
y - 7 = x -5
y = x - 5 + 7
y = x + 2
<em>Hence the point slope equation of the line is y - 7 = 1 (x-5)</em>
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Hi there!


We can calculate dy/dx using implicit differentiation:
xy + y² = 6
Differentiate both sides. Remember to use the Product Rule for the "xy" term:
(1)y + x(dy/dx) + 2y(dy/dx) = 0
Move y to the opposite side:
x(dy/dx) + 2y(dy/dx) = -y
Factor out dy/dx:
dy/dx(x + 2y) = -y
Divide both sides by x + 2y:
dy/dx = -y/x + 2y
We need both x and y to find dy/dx, so plug in the given value of x into the original equation:
-1(y) + y² = 6
-y + y² = 6
y² - y - 6 = 0
(y - 3)(y + 2) = 0
Thus, y = -2 and 3.
We can calculate dy/dx at each point:
At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.
At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.
Answer:
The coordinate of point M = (-6,7)
Explanation:
The Median of a triangle is a line segment from a vertex to the midpoint of the opposite side of a triangle.
Given:
has vertices T(3,6) , R(-3,10) and E(-9,4).
Here, line TM is a median of triangle TRE where M is the midpoint of RE.
The midpoint of M of the line segment from R(-3,10) to E(-9,4) is;
M = 
Therefore, the coordinate of point M is, (-6,7).
Answer:
The answer is B
Step-by-step explanation:
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