Answer:
This is an geometric sequence because the common ratio is -2.
Step-by-step explanation:
-2*-2=4
4*-2=-8
-8*-2=16
So, as we are seeing that the common ratio is -2, so this is an geometric sequence.
Answer:
Here's what I get.
Step-by-step explanation:
The formula for rotation of a point (x,y) by an angle θ about the origin is
x' = xcosθ - ysinθ
y' = ycosθ + xsinθ
If θ = 270°, sinθ = -1 and cosθ = 0, and the formula becomes
x' = y
y' = -x
A: (-3,4) ⟶ (4,3)
B: (-1,2) ⟶ (2,1)
C: (-2,0) ⟶ (0,2)
The vertices of A'B'C' are (4,3), (2, 1), and (0, 2).
The Figure below shows the triangle before and after the rotation.
Answer:
a. quotient refers to division
The amount in dollars that is in the account after 50 years expressed in power is; 2⁹
<h3>How to apply the rule of exponents?</h3>
We are told that the money doubles in value after every 10 years.
When the account was opened it had 2⁴ dollars in it and after 50 years it has doubled 5 times. The doubling increased by a factor of 2⁵ and is now has a balance of 2⁴ × 2⁵.
Using the rule of exponents, we have;
2⁴ × 2⁵ = 2⁹
Read more about Rule of Exponents at; brainly.com/question/11761858
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I’m pretty sure you are supposed to use the law of sine, which states A/sin(a)=B/sin(b)=C/sin(c), where A is the side opposite of angle A. Number 4 would be28/sin37=x/sin49, solving for x. I do not have a calculator with me but I hope this helps
