Answer:
Step-by-step explanation:
Perimeter is simply length + width. They gave us that the length is 2 feet plus 2 times the width:
Subtract 2 from both sides to get 23 = 2w + w
Combine like terms to get 23 = 3w
Divide by 3 to get feet
Answer:
£73.71
Step-by-step explanation:
Let's compute first for the cost of the ticket in <em>2014</em>. Let x be the<em> increase in the cost of the ticket.</em> If the cost of the ticket is 8% of £65, then the expression should be like this:
- x = 65 x 8%
- x = 65 x 0.08
- x = £5.2
Let's add £5.2 to £65 ⇒ £5.2 + £65 = £70.2
The cost of the season ticket in 2014 is £70.2.
Next, we'll have to compute the cost of the ticket in<em> 2015</em>. Let y be the <em>increase in cost of the ticket</em>. If the cost of the ticket is 5% of £70.2, then the expression should be like this:
- y = 70.2 x 5%
- y = 70.2 x 0.05
- y = £3.51
Let's add £3.51 to £70.2 ⇒ £3.51 + £70.2 = £73.71
The cost of the season ticket in 2015 is £73.71. <em>This is also the cost of the season ticket after two price increases.</em>
Slope of a line passing through two points = (y2 - y1)/(x2 - x1) = (-5 - 7)/(6 - (-6) = -12/12 = -1
7/8 is in its simplest form
One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>