Answer:
Option A
Step-by-step explanation:
System of the inequalities is,
y ≥ 2x
y < x + 4
By satisfying these inequalities with the points given in the options we can get the answer.
Option (A). (2, 5)
y ≥ 2x
5 ≥ 2(2)
5 ≥ 4
True.
y < x + 4
5 < 2 + 4
5 < 6
True
Therefore, Option (1) is the answer.
Option (B) (1, 6)
y ≥ 2x
6 ≥ 2(1)
6 ≥ 2
True.
y < x + 4
6 < 1 + 4
6 < 5
False.
Therefore, it's not the solution.
Option (C) (2, 3)
y ≥ 2x
3 ≥ 2(2)
3 ≥ 4
False.
y < x + 4
4 < 2 + 4
4 < 6
True.
Therefore, It's not the solution.
Option (D) (1, 5)
y ≥ 2x
5 ≥ 2(1)
5 ≥ 4
True.
y < x + 4
5 < 1 + 4
5 < 5
False.
Therefore, It's not the solution.
Use the distributive property to multiply −2 by x+1.
Combine 7x and −2x to get 5x.
Subtract 6x on both sides.
Combine 5x and −6x to get −x.
Add 2 to both sides.
Add 14 and 2 to get 16.
Multiply both sides by −1.
<h2>{ Pisces04 }</h2>
Hey!
RS = 15 and RT = 18. Subtract 18 from 15 to get your answer.
<em>That means your answer is 3</em>
Answer:
Below in bold.
Step-by-step explanation:
Because the 2 sides marked with the double lines are equal:
5y-1 = 2y+11
3y = 12
y = 4.
Also :
3x-5 + 2(2x+5) = 180
3x - 5 + 4x + 10 = 180
7x = 180 + 5 -10
7x = 175
x = 175/7 = 25.
Hello!
The volume of a cylinder is found by using the formula: V = πr²h.
The problem has given us the height of the cylinder, which is 14.7 centimeters, and the diameter which is 10.5 centimeters. The volume of a cylinder requires the radius, so therefore, to find the radius, divide the diameter by half, and that will give the radius.
R = 10.5 / 2
R = 5.25 centimeters
With that radius and the height, we can find the volume of the cylinder.
V = π(5.25)²(14.7)
V = 27.5625(14.7)π
V = 405.17π, 1272.23 (multiplied by 3.14), 1272.88 (multiplied by π)
Therefore, the volume of this cylinder is 1272.88 centimeters³.
