Answer:
Step-by-step explanation:
<u>Geometric Sequences</u>
The geometric sequence is given as:
Where n is the number of the term, n≥1, and r is the common ratio.
The sum of n terms of the geometric sequence is given by:
We are given: S3=252, a1=192, thus substuting:
Dividing by 12:
Recall that:
Substituting:
Simplifying:
Rearranging:
16r^2+16r-5=0
Rewriting:
Factoring:
Solving:
Both solutions are valid
(x1,y1)
(x2,y2)
(xm,ym)
Midpoint formula is given as below.
((x1 + x2)/2 , (y1 + y2)/2 )
Where
(x1 + x2)/2 = xm ----------- (1)
(y1 + y2)/2 = ym ----------- (2)
Equation (1) implies that;
x1 + x2 = 2xm
x2 = 2xm – x1
Equation (2) implies that;
y1 + y2 = 2ym
y2 = 2ym – y1
Thus the end point is
<span>(x2,y2) = (2xm – x1, 2ym – y1)</span>
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Answer:
People with depression may have uncommonly sticky platelets, the tiny cells that cause blood to clot. In patients with heart disease, this can accelerate atherosclerosis (hardening of the arteries) and increase the chance of heart attack. Some studies show that treating depression make platelets less sticky again.
Answer:
56
Step-by-step explanation:
Since 3 is between -6 and 9 we use the first definition
f(3) = 6 x^2 +2
= 6(3)^2+2
= 6(9) +2
= 54+2
= 56
