Answer:
We need the following translation: 
Step-by-step explanation:
To transform
into
, we need must apply the following translation:
(1)
If we know that
, then the expression of
is:

(2)
Which demonstrates the affirmation.
The lengths of the segments can be calculated using:
d = √[(y₂-y₁)² + (x₂-x₁)]²
First, we calculate the length of AB using this formula:
L(AB) = 10
Then, we calculate the length of A'B':
L(A'B') = 3
Therefore, the scale factor is: L(A'B') / L(AB) = 3/10
Answer:
( -
/2 , -1/2)
Step-by-step explanation:
-210 degrees in standard position corresponds to an angle in the 3rd quadrant 30 degrees below the negative x-axis
The hypotenuse of the triangle here is 1, and we want the coordinates.
_______________________(0,0)
|(x = -root(3)/2)
|
| (y = -1/2)
Hi! Your answer is q = -9
Please see an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
Since we want to solve for q-term. That means we are going to isolate q-term.

We can add 4 and 9 together.

Because we want to know the value of q. That means we have to isolate q-term by subtracting both sides by 13.

We are reaching to the final step where we divide the whole equation by 3.

Finally, the solution for this equation is q = -9. But what if you are not certain or sure about the answer? Let's check it out!
To check the answer, simply substitute q = -9 in the equation.

Notice that the equation is true for q = -9. Hence, we can conclude that the solution for this equation is q = -9.
Hope this helps!
Answer: 8 cups each
explanation: 1 quart= 4 cups
8 quarts=32 cups
32 cups/ 4 people= 8 cups each