Answer:
13 miles
Step-by-step explanation:
The mid- segment is one half the size of the third side of the triangle, thus
distance across lake = 2 × 6.5 = 13 miles
The diagonal of a rectangle is:
d ^ 2 = w ^ 2 + l ^ 2
Where,
w: width
l: long
Substituting values we have:
(l + 2) ^ 2 = (l-7) ^ 2 + l ^ 2
Rewriting we have:
l ^ 2 + 4l + 4 = l ^ 2 -14l + 49 + l ^ 2
l ^ 2 -14l + 49 - 4l - 4 = 0
l ^ 2 -18l + 45 = 0
(l-15) (l-3) = 0
The solutions are:
l = 15
l = 3
The viable solution is:
l = 15
Thus, the width is:
w = l-7
w = 15-7
w = 8
Answer:
the dimensions of the rectangle are:
l = 15
w = 8
Answer:
Step-by-step explanation:
a
Answer:
B
Step-by-step explanation:
Remark
I have to represent f(x) as plus +f(x)
I like to show this situation as +f(g(x)) which I think is much clearer.
+f(x) = 5x - 4
Solution
+f(g(x)) = 5(g(x)) - 4 What has happened is that wherever you see an x on the right you put in g(x).
Now on the right, you put whatever g(x) is equal to.
+f(g(x)) = 5(x^2 - 1) - 4
Remove the brackets.
+f(g(x)) = 5x^2 - 5 - 4
And make x = 0
+f(g(0)) = 5*0 - 5 - 4
+f(g(0)) = - 9
