Answer:
<h2>A 16mm</h2>
Step-by-step explanation:
An equilateral triangle is a triangle that has all of its sides equal.
Perimeter of an equilaterial triangle = 3s where;
s is one side of the triangle.
Given the perimeter of ABC = 96mm
Substituting into the formula above to get s;
96 = 3s
s = 96/3
s = 32mm
Hence the length of one side of the triangle is 32mm
If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.
Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm
MC = 1/2 * 32mm
MC = 16mm
<em>Hence the length of Line segment MC is 16mm</em>
<em></em>
Answer:
(p, q) is (2, 5)
Step-by-step explanation:
Given the expression
x^2 + 3x - 10
Factorize;
x^2 + 5x - 2x - 10
x(x+5) - 2(x+5)
(x-2)(x+5)
Comparing with (x + p)(x + 9).
x+2 = x+ p
x-x+2 = p
2 = p
p = 2
Similarly;
x+5 = x+q
x-x+5 = q
5 = q
q= 5
Hence (p, q) is (2, 5)
Answer:
dy/dx = 0
Step-by-step explanation:
In y + y^2 = 10
Differentiating In y = 1/ydy/dx
Differentiating y^2 = 2ydy/dx
Differentiating a constant (10) = 0
1/ydy/dx + 2ydy/dx = 0
dy/dx(1/y + 2y) = 0
dy/dx = 0/(1/y + 2y) = 0
Answer:
The equation of the line is:
Therefore, option a is the correct answer.
Step-by-step explanation:
Given the points
Finding the slope
As the point-slope form of the equation of the line is
where m is the slope
substituting the values and the point (-2, 2)
∵
Add 2 to both sides
Hence, the equation of the line is:
Therefore, option a is the correct answer.
