Answer:
A
Step-by-step explanation:
Start with the 3.
You know that there is a difference of 4 between (say) 2 and 5. The 3 is a sign that the sequence is increasing. The members of the sequence are going up.
n - 1 means that the nth terms is calculated as an and uses the number of terms to be n-1. That means that the first term is a1 which is the starting point of the sequence.
The answer is an = a1 + (n-1)*d
d = 3
a1 = - 7
So let's try the formula out.
a4 = -7 + (4 - 1)*3
a4 = -7 + 3 * 3
a4 = -7 + 9
a4 = 2
Is 2 the 4th term in the series? Yes it is!
For the first figure, the geometric figure used in the construction that is shown is the intersection of the angle bisectors of the triangle is the center of the inscribed circle.
For the second figure, the construction of the above figure in the circle represents how to find the intersection of the perpendicular bisectors of triangle ABC.
For the third figure, the statement that is demonstrated in the in line P intersecting line m perpendicularly is the set of points equidistant from the endpoints of a line segment is the perpendicular bisector of the segment.
You cant add the fractions until you change the denominator
Answer:
You solve it in the following way
Answer:
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
Make h the subject of the formula
The surface area (S) of the aquarium is:
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
Substitute for h in the above equation
Differentiate with respect to l and with respect to b
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
By comparison:
becomes
Cross Multiply
Solve for l
Recall that:
Also recall that:
Apply law of indices
The dimension that minimizes the cost of material of the aquarium is: