Answer:
(-3, 13)
Step-by-step explanation:
The transformation that moves a point 4 left and 8 up is ...
(x, y) ⇒ (x -4, y +8)
The transformation that reflects a point across the y-axis is ...
(x, y) ⇒ (-x, y)
Applied after the translation, the transformation of ∆ABC becomes ...
(x, y) ⇒ (-(x -4), y +8) = (4 -x, y +8)
Then point A gets moved to ...
A(7, 5) ⇒ A'(4 -7, 5 +8) = (-3, 13)
The x and y coordinates of point S are increased by three to get to the midpoint.
(2,1) ----> (5,4)
To get to point t increase the coordinates by three again.
(5,4) -----> (8,7)
answer: (8,7)
Answer:
1. x = 2, AC = 30, AB - 4
2. y = 4, AB = 34, BC = 34
Step-by-step explanation:
1. AB + BC = AC so 26 + (10 - 3x) = 14x +2 and then add 3x to both sides and subtract 2 from both sides to get x on one side and an integer on the other side which is 34 = 17x and then divide 17 from both sides to get x = 2 and then substitute x into the AC and AB equations to find the values its equal to.
2. The symbol in the given means that the two lengths are congruent which means they are equal to each other so you put the two equations equal to each other and solve for y. 9y -2 = 14 + 5y, so subtract 5y from both sides and add two to both sides to get 4y = 16 and then divide both sides by 4 to get y = 4 and then substitute in the answer to find the lengths of AB and BC.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Decrease rate (d)= 7%
Number of periods (n)= 7 years
Current population (PV)= 48,000
<u>First, to calculate the future value, we need to use the following decrease exponential formula:</u>
<u />
FV= PV*[(1+d)^-n]
<u>After 7 years:</u>
FV= 48,000*(1.07^-7)
FV= 29,892
y = 7
I have attached the step explanation in the photo
