C = pi * D
since the diameter is 2 * r
Answer:
37.5% decrease
Step-by-step explanation:
By using this formula: (New - Old) ÷ New
(20000 - 32000) ÷ 32000 = -12000/32000
-12000/32000 x 100 = -37.5% (Negative means decrease)
Answer:
(0,12) are the correct y-intercepts.
Step-by-step explanation:
y=x+3
root : (-3,0)
domain : X € R
y intercept : ( 0, 3)
x + y=6
root : ( 6, 0)
domain : X € R
y intercept : ( 0, 6 )
Answer:
<em>The equation which has no solution is 5 + 2(3 + 2x) = x + 3(x + 1) . </em>(see below for work)
Step-by-step explanation:
4(x + 3) + 2x = 6(x + 2)
4x + 12 + 2x = 6(x + 12)
4x + 2x = 6x
6x = 6x
x ∈ ℝ
5 + 2(3 + 2x) = x + 3(x + 1)
5 + 6 + 4x = x + 3(x + 3)
11 + 4x = x + 3x + 3
11 + 4x = 4x + 3
11 = 3
x ∈ ∅ (CORRECT ANSWER)
5(x + 3) + x = 4(x + 3) + 3
5x + 15 + x = 4x + 12 + 3
6x + 15 = 4x + 12 + 3
6x + 15 = 4x + 15
6x = 4x
6x - 4x = 0
2x = 0
x = 0
4 + 6(2 + x) = 2(3x + 8)
4 + 12 + 6x = 6x + 16
4 ÷ 12 = 16
16 = 16
x ∈ ℝ
Hope this helps! :)