First translate the circle from (-4,5) to (2,-3) [ a translation of (+6, -8) ] by the transformation rule
(x,y)->(x+6, y-8)
the scale factor would be the ratio of the radii of image (circle 2) divided by that of preimage (circle 1)
=9/6=3/2
Solution:
We have:
f(x) = √x
g(x) = 7x + b
y = f(g(x)), Given point on the graph (x, y) = (4, 6)
Use: f(x) = √x
f(g(x)) = √(g(x))
y = √(7x + b), x = 4, y = 6
6 = √(7(4) + b)
6² = (7(4) + b)
36 = 28 + b
36 - 28 = b
8 = b
b = 8
Answer: 22.55 mph
Step-by-step explanation:
Let the speed of the train be n
4 × 62 = 248 which is the distance travelled by the car in 4 hours and the train travelled in 11 hours
11 × n = 248
11n = 248
n = 248/11
n = 22.55mph
Answer:
x is 30
Step-by-step explanation:
1/2 ( x + 6 ) = 18
1/2x + 3 = 18
- 3 - 3
1/2x = 15
· 2 · 2
x = 30