Algebra 2 help? :))))
1 answer:
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Answer:
The ratio of blue balloons to the total number of balloons is 1:2.
Step-by-step explanation:
Given:
Total number of balloons = 14
Number of red balloons = 3
number of white balloons = 4
Number of the blue balloons are the rest remaining.
We need to find the the ratio of blue balloons to the total number of balloons.
Solution:
First we will find the number of blue balloons.
Now we know that;
Number of the blue balloons can be calculated by Total number of balloons minus sum of Number of red balloons and number of white balloons.
framing in equation form we get;
Number of the blue balloons =
Now to find the ratio of blue balloons to the total number of balloons we will divide Number of the blue balloons from Total number of balloons.
framing in equation form we get;
Ratio =
Hence the ratio of blue balloons to the total number of balloons is 1:2.
Answer:
(-1, 1), (-2, 2), and (-1, 3)
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 = 90°, sinθ = 1 and cosθ = 0, and the formula becomes
x' = -y
y' = x
P: (1, 1) ⟶ (-1, 1)
Q:(2, 2) ⟶ (-2, 2)
R: (3, 1) ⟶ (-1, 3)
The vertices of P'Q'R' are (-1, 1), (-2, 2), and (-1, 3).
The Figure below shows the triangle before and after the rotation.
