We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
Answer:
The smallest number is 88
Step-by-step explanation:
Let
x ----> the first consecutive even number
x+2 --->the second consecutive even number
we know that
The linear equation that represent this problem is given by
solve for x
so
therefore
The smallest number is 88
The coordinates of the vertex are (h,k) so we can write:-
f(x) = a(x -2)^2 - 4
now when f(x) = -7 x = 1 so:-
-7 = a(1-2)^2 - 4
-7 = a - 4
a = -3
so the vertex formula is
f(x) = -3(x - 2)^2 - 4
standard form:-
f(x) = -3(x^2 - 4x + 4) - 4
= -3x^2 + 12x - 16
Answer:
15°
Step-by-step explanation:
<em>L</em><em> </em>MLP = 180-165=15°
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