Answer:
(-6,6), (0,12), (4,8)
Step-by-step explanation:
To dilate an object, we need to multiply the x and y values by the given scale factor.
In this case the scale factor is 2 --> 2(x, y)
Before-> After dilation
2(-3,3) = (-6,6)
2(0,6) = (0,12)
2(2,4) = (4,8)
Please leave a 'thanks' if this helps!
Answer:
5x+3>23
Step-by-step explanation:
x 
4
Answer:
Step-by-step explanation:
Problem A
t(1) = 2(1) + 5
t(2) = 2*2 + 5 = 9
t(3) = 2*3 + 5 = 11
t(4) = 2*4 + 5 = 13
So this is the explicit result. Now try it recursively.
t_3 = t_2 + 2
t_3 = 9 + 2
t_3 = 11 which is just what it should do.
t_n = t_(n - 1) + 2
Problem B
t(1) = 3 * 1/2
t(1) = 3/2
t(2) = 3*(1/2)^2
t(2) = 3 * 1/4
t(2) = 3/4
t(3) = 3*(1/2)^3
t(3) = 3 * 1/8
t(3) = 3/8
t(4) = 3 (1/2)^4
t(4) = 3 (1/16)
t(4) = 3/16
So in general
t_n = t_n-1 * 1/2
For example t(5)
t_5 = t_4 * 1/2
t_5 = 3 /16 * 1/2 = 3/32
Answer:
(i) The equivalent coordinates in rectangular form are 
.
(ii) The equivalent coordinates in rectangular form are 
.
Step-by-step explanation:
In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:
Where:
- Norm of vector, dimensionless.
- Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.
(i) (
, 
)
The equivalent coordinates in rectangular form are .
(ii) (
, 
)
The equivalent coordinates in rectangular form are .
