Answer:
((-9 - 1)/2, (-4 + 6)/2) = (-5,1)
((-5 + x)/2, (1 + y)/2) = (-4,-3)
(-5 + x)/2 = -4
-5 + x = -8
x = -3
(1 + y)/2 = -3
1 + y = -6
y = -7
(-3,-7)
Question 3 is: D. All integers are rational numbers.
Question 4 is: C. the counting number is 4. Hope this helped :)
991 cm because you add together 958+33= you get 991 cm
Answer:
x = - 4, y = 7
Step-by-step explanation:
Given the 2 equations
- 7x - 2y = 14 → (1)
6x + 6y = 18 → (2)
Multiplying (1) by 3 and adding to (2) will eliminate the y- term
- 21x - 6y = 42 → (3)
Add (2) and (3) term by term to eliminate y
- 15x = 60 ( divide both sides by 15 )
x = - 4
Substitute x = - 4 into either of the 2 equations and evaluate for y
Substituting into (2)
6(- 4) + 6y = 18
- 24 + 6y = 18 ( add 24 to both sides )
6y = 42 ( divide both sides by 6 )
y = 7
The 'seconds' hand on the watch goes all the way around in 1 minute. <span>15 seconds is 1/4 of a complete 1-minute revolution. </span>So, the 2 cm is 1/4 of the way around the circle that the tip makes. This makes the full circumference of the circle 8cm.
<span>The length of the second hand will be the radius of the circle. Use the following equation: </span>
2 pi radius = circumference
Since we know the circumference, plug that in, and solve for the radius:
2 pi radius = 8 cm
radius = 8cm / 2 pi =<span> 1.27 cm</span>
