Answer:
1. Number line 2
2. Number line 1
3. Number line 4
4. Number line 3
Step-by-step explanation:
1. x – 99 ≤ -104
Solving by adding +99 on both sides
x - 99 +99 ≤ -104 +99
x ≤ -5
Number line 2 represent x ≤ -5
2. x – 51 ≤ -43
Adding +51 on both sides
x -51 +51 ≤ -43 +51
x ≤ 8
Number line 1 represent x ≤ 8
3. 150 + x ≤ 144
Adding -150 on both sides
150 + x -150 ≤ 144 -150
x ≤ -6
Number line 4 represent x ≤ -6
4. 75 < 69 – x
Adding +x on both sides
75 + x < 69 -x +x
x < 69 -75
x < -6
Number line 3 represent x < -6
Answer:
90π units²
Step-by-step explanation:
(refer to attached)
Total Surface are off a right cylinder = area of its ends + area of curved surface
Given radius, r = 3 units and height, h = 12 units
Area of 2 ends,
= Area of 2 circles
= 2 x πr²
= 2π (3²)
= 2π (9)
=18π units²
Area of curved surface,
= 2πrh
= 2π(3)(12)
= 72π units²
Hence,
Surface area = 18π + 72π = 90π units²
Plugging in (2,-7) into
y=-5x+b, we get that b=3.
Therefore, the equation is y=-5x+3
Answer:Yes
Step-by-step explanation:
5×3=15. 9×3=27