N/2+5=3
move +5 to the other side
sign changes from +5 to -5
N/2+5-5= 3-5
N/2= -2
Mutiply both sides by 2/1
N/2*2/1 - Cross out 2 and 2 , divide by 2 then becomes N
-2(2)/1= -4/1= -4
N= -4
Answer : N= -4
Answer:
100.5cm2
Step-by-step explanation:
v=pi(r)2(h)
v=3.14(2)2(8)
v=3.14(4)(8)
v=100.48
v=100.5cm2
Answer:
For part 1- y=50x+75 For part 2- y=325
Step-by-step explanation:
the cost is increasing 50 for every hour
there is a flat rate of 75 to answer a house call
y=50x+75
y=50(5)+75
y=250+75
y=325
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 9 → (1)
x + 2y = 1 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = 1 - 2y → (3)
Substitute x = 1 - 2y into (1)
2(1 - 2y) - 3y = 9
2 - 4y - 3y = 9
- 7y + 2 = 9 ( subtract 2 from both sides )
- 7y = 7 ( divide both sides by - 7 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 1 - 2(- 1) = 1 + 2 = 3
solution is (3, - 1 )
Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
