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.
Answer:
rate of the boat in still water: 81 km/h
rate of the current: 18 km/h
Step-by-step explanation:
Answer:
(d) 2
Step-by-step explanation:
Step-by-step explanation:
let T be the top of the ladder
let F be the foot of the ladder
let B be the base of the wall
you need to find the distance between the foot of the ladder and the base of the wall, in other words the distance of the 'ground' ( refer to the diagram).
you are given that the hypotenuse - H is 3 m and that the opposite - O ( wall ) is 2.8 m.
i) find the angle
given
H, O → use SOH, sin.
sin x = opp. /hyp.
sin x = 2.8 / 3
x = sin-1 ( 2.8/ 3)
x = 68.960...
x = 70.0 ° ( 3 s.f)
ii) use either tan or cos to find the adjacent (wall)
using TOA, tan:
tan ( 68.96) = 2.8/ adj.
2.8 / adj. = tan (68.96)
adj. × tan (68.96) = 2.8
adj = 2.8/ tan (68.96)
adj = 1.0770...
adj. = 1.08 ( 3 sf)
base = 1.08 m
or you could rather simply work this out using Pythagoras Theorem:
where hyp. is c², the base is b² and height is a²;
c² = a² + b²
b² = c² - a²
b² = (3)² - (2.8)²
b² = 1.16
b = √1.16
b = 1.0770
b = 1. 08 m ( 3sf)
you can give your answer to 3 sf or 2 sf.
hope this helps you!
-s.
Isaiah must get a score of 115