Answer:
B = (5, -2)
Step-by-step explanation:
(- 3 + x) / 2 = 1
-3+x = 1*2
x = 2+3
x = 5
(-6+y)/2=-4
-6+y = - 4*2
y = - 8 + 6
y = - 2
Answer:
The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm
Step-by-step explanation:
Let
c ------> the length of the hypotenuse of a right triangle
x -----> the length of one leg
y -----> the length of the other leg
we know that
-----> equation A (Pythagoras Theorem)
----> equation B
-----> equation C
Substitute equation B and equation C in equation A and solve for y
Find the value of x
therefore
The lengths of the three sides are 10 cm, 9.49 cm and 3.16 cm
Let <em>a</em> be the first term in the sequence. If <em>r</em> is the ratio between consecutive terms, then the second term is <em>ar</em>, the third term is <em>ar </em>^2, the fourth is <em>ar</em> ^3, and so on, up to the <em>n</em>-th term <em>ar</em> ^(<em>n</em> - 1).
So the third, fourth, and fifth terms are such that
<em>ar</em> ^2 = 18
<em>ar</em> ^3 = 27
<em>ar</em> ^4 = 81/2
Solve for <em>a</em> and <em>r</em> :
(<em>ar</em> ^3) / (<em>ar</em> ^2) = 27/18 => <em>r</em> = 3/2
<em>ar</em> ^2 = <em>a</em> (3/2)^2 = 9/4 <em>a</em> = 18 => <em>a</em> = 8
Then the <em>n</em>-th term in the sequence is
<em>ar</em> ^(<em>n</em> - 1) = 9 (3/2)^(<em>n</em> - 1)
You can rewrite this by first rewriting 9 = 3^2, then
9 (3/2)^(<em>n</em> - 1) = 3^2 * 3^(<em>n</em> - 1) / 2^(<em>n</em> - 1) = 3^(<em>n</em> + 1)/2^(<em>n</em> - 1)
Answer: Yes. When you solve your equations, you're solutions will change a little bit. It's good because it'll give you the right answer.
I hope this helps you and I hope it's right. ☺
