Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is 
and
The rotation of angle from 2nd quadrant to 3rd quadrant is .
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<em> total rotation is </em>
.
Answer:
0.9542
Step-by-step explanation:
Answer:
y = 1/2x - 7
Step-by-step explanation:
y = mx + b
m (slope) = 1/2
x = 4
y = -5
<em>substitute</em>
-5 = 1/2 * 4 + b
-5 = 2 + b
-5 -2 = b
-7 = b
y = mx + b
y = 1/2x -7
Answer: Satisfied for n=1, n=k and n=k+1
Step-by-step explanation:
The induction procedure involves two steps
First is
Basic Step
Here we consider that for the value n=1, there is one car and it will always make the full circle.
Induction Step
Since basic step is satisfied for n=1
Now we do it for n=k+1
Now according to the statement a car makes full circle by taking gas from other cars as it passes them. This means there are cars that are there to provide fuel to the car. So we have a car that can be eliminated i.e. it gives it fuels to other car to make full circle so it is always there.
Now ,go through the statement again that the original car gets past the other car and take the gas from it to eliminate it. So now cars remain k instead of k+1 as it's fuel has been taken. Now the car that has taken the fuel can make the full circle. The gas is enough to make a circle now.
So by induction we can find a car that satisfies k+1 induction so for k number of cars, we can also find a car that makes a full circle.
