Translation (1,1) as it has moved one left horizontally and one up vertically. that is if the question is about the bottom left shape. if it is about the top right then it would be (-1,-1)
In a rhombus, all sides are equal:
5x = 15
and x = 15/5 = 3
(you could have done the same thing with the other side: 5x = 4x +3)
Answer:
a) g(x) = f(x) + 3
So g(x) is a vertical translation of f(x), 3 units upwards
b) g(x) = 3x² - 1 + 3
g(x) = 3x² + 2
The graph has shifted 3 units upwards, so has the vertex.
The vertex of f is (0,-1)
Whereas the vertex of g is (0,2)
-1 + 3 = 2
Answer:
rate boat = 15 mph
rate current = 5 mph
explanation:
d = r * t
t = d/r
240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.
240 = 12(r_boat + current)
240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current
240 = 24*(r_boat - current)
Since the distances are the same in both equations, you can equate the right side of each.
12 (r_boat + current) = 24(r_boat - current) Divide by 12
r_boat + current = 2 (r_boat - current) Remove the brackets.
r_boat + current = 2*r_boat - 2* current add 2 currents to both sides
r_boat + 3currents = 2*r_boat Subtract r_boat both sides
3 currents = r_boat.
240 = 12*(r_boat + current. Divide by 12
20 = r_boat + current Put 3 currents in for r_boat
20 = 3currents + 1 current Combine
20 = 4 currents Divide by 4
5 = current
The rate of the current = 5 miles / hour
3 currents = r_boat
3*5 = rate_boat
15 = rate of the boat
It’s 192% because you just need to remove all the points :) hope i helped
