Answer:
D(1, 2) → D'(2, 7)
E(-3, -5) → E'(-10, 0)
F(4, -1) → F'(11, 4)
Step-by-step explanation:
D(1, 2) → D' ________
Translate image (3x - 1, y + 5)
(1, 2), x = 1 and y = 2
3x - 1 = 3(1) - 1 = 3 - 1 = 2
y + 5 = (2) + 5 = 7
E(-3, -5) → E' ________
(-3, -5), x = -3 and y = -5
3x - 1 = 3(-3) - 1 = -9 - 1 = -10
y + 5 = (-5) + 5 = 0
F(4, -1) → F' ________
(4, -1), x = 4 and y = -1
3x - 1 = 3(4) - 1 = 12 - 1 = 11
y + 5 = (-1) + 5 = 4
Step-by-step explanation:
use trigonometry ratios
Step-by-step explanation:
1 km = 1000 m
(hence the term "kilo" which means 1000).
so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.
now, we can see the solution already with our eyes.
but let's do it formally :
the rate or ratio between time and distance must be the same for the same speed.
so,
3 min / 1000 m = x min / 500 m
500 m × 3 min / 1000 m = x min
1/2 × 3 min = x min
3/2 = 1.5 min = x min
so, it takes him 1.5 minutes (90 seconds) to run 500 m.
Answer:
7) circumference = 11.78 ft
8) arc NMP = 198° or 27.63 ft
Step-by-step explanation:
7) circumference = πd = (3.14) (3 3/4) = 11.78 ft
8) radius = 8 ft
diameter = 2 x 8 = 16 ft
arc NM + arc QP = 360° - 162° - 162° = 36°
arc NM = arc QP because they are arcs of vertical angles.
arc QP = 18°
arc NMQ = 180°
arc NMP = 180° + 18° = 198°
circumference = πd = (3.14)(16) = 50.24 ft
(198°/360°)(50.24) = 27.63 ft
I think it’s B but I’m not for sure
