Use the points H(−4, 1) and K(4, 1).
(a) From two points , we will get a vertical line when 'x' values are same and horizontal line segment when 'y' values are same
Here in H(−4, 1) and K(4, 1) , the y values are same so the segment HK is a horizontal . The length is the difference between x values ( 4 -(-4)) = 8
Segment HK is a Horizontal segment that is
8 units long.
(b) Describe the image of segment HK under the transformation
(x, y) -----> (−y, x)
H(−4, 1) -----> (-1, -4)
and K(4, 1) ---> (-1, 4)
'x' values are same so line HK is Vertical. The length is the difference between y values ( 4 -(-4)) = 8
The image of segment HK is a Vertical segment that is
8 units long.
(c) escribe the image of segment HK under the transformation
(x, y) ----> (2x, y)
H(−4, 1) -----> (-8, 1)
and K(4, 1) ---> (8, 1)
'y' values are same so line HK is Horizontal. The length is the difference between y values ( 8 -(-8)) = 16
The image of segment HK is a Horizontal segment that is
16 units long.
The amount A when the principal P is compounded continuously is given by the formula :
Here r is rate of interest and t is time .
In the question P=1600 ,r=6.5%=0.065 ,t= 6 years
Substituting these values in the formula
A= 1600(1.48)
A=2363.17
Balance after 6years is $2363.17
Answer:
x = - , x = 5
Step-by-step explanation:
Given
f(x) = (x - 5)(5x + 2)
To obtain the solutions set f(x) = 0, that is
(x - 5)(5x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5 ← larger x
5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - ← smaller x
Answer:
0.6x - 0.6y.
Step-by-step explanation:
0.2 (3x - 3y)
= 0.2*3x - 0.2*3y
= 0.6x - 0.6y.
A. (x, y) = (2x, 2y) this should be correct depending on the size of the shape but with no picture or context then A..