Answer:
33, 11, 24 feet
Step-by-step explanation:
Let s represent the length of the second side. Then the length of the first side is 3s and the length of the third side is s+13. The perimeter is the sum of side lengths:
(3s) +(s) +(s +13) = 68
5s = 55 . . . . . subtract 13
s = 11 . . . . . . . divide by 5
The side lengths are ...
33, 11, 24 feet
Use the quadratic formula to find the solutions.<span><span><span><span>−b</span>±<span>√<span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span></span></span><span>2a</span></span><span><span><span>-b</span>±<span><span>b2</span><span><span>-4</span><span>ac</span></span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=5</span><span>a=5</span></span>, <span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>, and <span><span>c=<span>−4</span></span><span>c=<span>-4</span></span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>3±<span>√<span><span><span>(<span>−3</span>)</span>2</span><span><span>−4</span>⋅<span>(<span>5⋅<span>−4</span></span>)</span></span></span></span></span><span>2⋅5</span></span><span><span>3±<span><span><span>-3</span>2</span><span><span>-4</span>⋅<span>5⋅<span>-4</span></span></span></span></span><span>2⋅5</span></span></span>Simplify.Tap for more steps...<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span>The result can be shown in both exact and approximate form.<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span><span>x≈1.24339811,<span>−<span>0.64339811</span></span></span>
Say that f(x)=y and we are taking x=2
Answer: he drove 18.25 miles per gallon
Step-by-step explanation:
365/20=x/1
20x=365
x=18.25