Answer:
p >= 1/3
Step-by-step explanation:
to solve the inequality you must start by subtracting 8 to all sides
you will get -3p <= -1
then you divide everything by --3
you end with p >= 1/3
your answer is p >= 1/3
Answer:
A=777.54
Step-by-step explanation:
What you do is use the formula which is
a=2pirh+2pir^2.
The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.
The height is 9 m.
A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.
Answer:
2,586
Step-by-step explanation:
Add 1000+1000
2000
Since its 999 not 1000 subtract 1
1999
Now add 1 and subtract 1 from 587
Then add 2000 with 586
2,586
Answer:
<h3>perpendicular line:
y = -¹/₆
x + 4¹/₃
</h3><h3> parallel line:
y = 6x - 45
</h3>
Step-by-step explanation:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇔ m₁×m₂ = -1
{Two lines are perpendicular if the product of theirs slopes is equal -1}
y = 6x - 7 ⇒ m₁=6
6×m₂ = -1 ⇒ m₂ = -¹/₆
The line y=-¹/₆
x+b passes through point (8, 3) so the equation:
3 = -¹/₆
×8 + b must be true
3 = -⁴/₃ + b
b = 4¹/₃
Therefore equation in slope-intercept form:
y = -¹/₆
x + 4¹/₃
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 6x - 7 ⇒ m₁=6 ⇒ m₂=6
The line y=6x+b passes through point (8, 3) so the equation:
3 = 6×8 + b must be true
3 = 48 + b
b = -45
Therefore equation in slope-intercept form:
y = 6x - 45
