Answer: (4,-4)
y=-4, x=4
Step-by-step explanation:
-4x=4y
4x-8y=12
-8y=-4x+12 Now I can substitute -4x for 4y
-8y=4y+12
-2y=y+12
-3y=12
y=-4
-4x=4y
-4x=4(-4)
x=4
Answer:
x = -2
∠A = 35
Step-by-step explanation:
x + 37 + x + 57 = 90
reduce:
2x = -4
x = -2
∠A = 37-2 = 35
Answer:
1.01 minutes
Step-by-step explanation:
The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.
Velocity is defined as the rate of change of displacement over time t:
The function can be expressed to make t the subject to calculate time taken by Bob;
Hence, it takes Bob 1.01 minutes to walk the length of the roll.
Answer:
268 cm^2
Step-by-step explanation:
Pink prism:
top: 2 cm * 2 cm = 4 cm^2
right, left, back, front: 4 * 2 cm * 6 cm = 48 cm^2
bottom: completely covered in connection to green prism
Total surface area of pink: 52 cm^2
Green prism:
bottom: 10 cm * 5 cm = 50 cm^2
front, back: 2 * 10 cm * 4 cm = 80 cm^2
right, left: 2 * 5 cm * 4 cm = 40 cm^2
top: 10 cm * 5 cm - 2 cm * 2 cm = 46 cm^2
Total surface area of green: 216 cm^2
Total surface area of composite solid:
52 cm^2 + 216 cm^2 = 268 cm^2