I believe that the snail would be 43 5/12 inches away from the bottom after 20 minutes.
Answer:
15x + 9
Step-by-step explanation:
9(3x + 8) – 3(4x + 21)
Multiply
27x + 72 - 12x - 63
Combined like terms
27x - 12x = 15x 72 - 63 = 9
15x + 9
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house
<em>Let 'C' be the point of observation.</em>
Given CA= 16 ft
<em> From right angle triangle</em>
<em> </em>

x = 16 × cos 66°
x = 16 × 0.4067
x = 6.5077
<em> x = 6.5 ft</em>
<em>The length of the ladder = 6.5 ft</em>