Answer:
-41 1/10
Step-by-step explanation:
subtract the two numbers may i get brainliest plz
Answer:
b1 = 2 ; r = 3
Step-by-step explanation:
Given that :
if b3 −b1 = 16 and b5 −b3 = 144.
For a geometric series :
Ist term = a
Second term = ar
3rd term = ar^2
4th term = ar^3
5th term = ar^4 ;...
If b3 - b1 = 16;
ar^2 - a = 16
a(r^2 - 1) = 16 - - - (1)
b5 - b3 = 144
ar^4 - ar^2 = 144
ar^2(r^2 - 1) = 144 - - - - (2)
Divide (1) by (2)
a(r^2 - 1) / ar^2(r^2 - 1) = 16 /144
a / ar^2 = 1 / 9
ar^2 = 9a
Substitute for a in ar^2 - a = 16
9a - a = 16
8a = 16
a = 2
From ar^2 - a = 16
2r^2 - 2 = 16
2r^2 = 16 + 2
2r^2 = 18
r^2 = 18 / 2
r^2 = 9
r = √9
r = 3
Hence ;
a = b1 = 2 ; r = 3
Explanation:
We will use the Pythagorean Theorem to determine if these lengths for a right triangle.
This theorem states, for a right triangle:
<span><span>a2</span>+<span>b2</span>=<span>c2</span></span>
Where a and b are the base and height and c is the hypotenuse which is also the longest length.
Substitute the values into this equation and see if both sides of the equation are equal. If they are the lengths form a right triangle. If they are not equal then they would not form a right triangle.
<span><span>362</span>+<span>772</span>=<span>852</span></span>
<span>1296+5929=7225</span>
<span>7225=7225</span>
Because both sides of the equation are equal these lengths do form a right triangle.
(not the actual answer)
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