Answer:
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
It's required to solve the equation for D. All letters must preserve their capitalization.
We must isolate the letter D by removing from the left side all the terms and coefficients that surround it.
Adding 7:
Dividing by f:
Answer:
Option b is correct.
The common ratio for the given geometric sequence is;
Step-by-step explanation:
The given sequence is; -96, 48 , -24, 12 , -6, .....
Since, given sequence is Geometric
Geometric Sequence in which each term is found by multiplying the previous term by a constant(i.e common ratio)
In general we write geometric sequence as;
where a be the first term and r is the common ratio.
On comparing the given sequence with general geometric sequence;
we get
a = -96 ......[1]
ar = 48 ......[2]
ar^2 = -24 .....[3]
and so on....
To find the common ratio i.e, r;
Divide equation [2] by [1];
Simplify:
Similarly,
by dividing the equation [3] by [2] we get;
Simplify:
As, you can see that the value of r is constant i.e, in the given sequence.
Therefore, the common ratio for the given geometric sequence is;
Answer:
m is 224°
Step-by-step explanation:
From the figure, we have;
The angle subtended at the circumference, by the arc mWXY, C = 112°
The angle subtended at the center = m
By circle theory, we have;
The angle subtended at the center = 2 × The angle subtended at the circumference
∴ m = 2 × 112° = 224°
m = 224°.
