Answer:
20(4 + 5)
Step-by-step explanation:
GCF is just the biggest number each value can be divided by. Here, it's 20, so that goes outside of the parenthesis. Now, what can you multiply by 20 to get 80? 4, so that goes in the second box. What can you multiply by 20 to get 100? 5, so that goes in the last box. You can check your answer by doing 80 + 100 = 180; 20(9) = 180.
Answer: ( x + 1)² + (y - 4)² = 16
Explanation:
1) The given equation, ( x - 2)² + (y + 1)² = 16, represents a circumference with center (2,-1) and radius √16 = 4.
1) The translation will not modify the radius of the circunference, siince translations are rigid transformations.
2) The translation 3 units to the left and 5 units upward certainly will move the center of the circunference.
This is how:
(x,y) → (x - 3, y + 5)
(2, -1) → (2 - 3, - 1 + 5) = (- 1, 4)
3) Then, keeping the same radius and being the center (-1,4), the equation of the circumference after the translation will be:
( x + 1)² + (y - 4)² = 16 ← answer
We have to calculate the total cost of the meal. We know that Adam ( A ) and his dad ( D ) share the cost of the meal in the ratio 2 : 3 and that Adam`s dad pays 52.20 Pounds. So A : D = 2 : 3; A : 52.20 = 2 : 3. Using the cross products, A * 3 = 2 * 52.20; A * 3 = 104.40; A = 104.40 : 3; A = 34.80 Pounds. Finally, A + D = 34.80 + 52.20 = 87.00. Answer: The total cost of the meal is 87 Pounds<span>. </span>
Answer:
Origin Rule: (x,y) to (kx,ky) where k is the scale factor.
180 degrees: (x,y) to (-x,-y)
Step-by-step explanation:
Rules are listed above.
