Answer:
24 years
Step-by-step explanation:
total ratio =8
older student=40 years
3/8*40 ÷ 5/8=24
Answer:
Step-by-step explanation:
The vertex form for a quadratic equation has the following form:
Where the vertice of the equation is the point (h, k)
To transform the equation 
in its vertex forms we must find its vertex.
Be a quadratic equation of the form:
Where a, b and c are real numbers, then the vertex of the equation will be:
For the given equation:
Therefore the vertice is:
Now we substitute x = 6 into the equation and find the value of k.
Therefore the vertice is: (6, -16)
And the equation is:
3(x + 1) - 2x = -6 |use distributive property: a(b + c) = ab + ac
3x + 3 - 2x = -6
x + 3 = -6 |subtract 3 from both sides
x = -9
Linear combination method just means to add the equations so that one variable with cancel. In this case the a values are already set up so that they will cancel.
2a + 3b = 1
-2a + b = 11
4b = 12
b = 3
now put 3 back into either of the original equations and solve for a.
2a + 3(3) = 1
2a + 9 = 1
2a = -8
a = -4
(-4,3)
An equilateral triangle is a triangle where all sides are of equal lengths. So, the angles are of equal values as well which is 60. We use the angle and the height of the triangle to determine the side length. We do as follows:
tan (60) = 15 / base/2
base = 10√3 = side length
