Answer:
Yes, the given relation is a function.
Step-by-step explanation:
Given the quadratic function, y = (x + 1)², and the domain of {-2, -1, 0, 1, 2, 3}:
By definition, a function is a <em>relation</em> in which no two ordered pairs have the same first component (x-values) and different second components (y-values). Observing the given domain, there are no repeating <em>input</em> values.
Therefore, the correct answer is that the relation is a function.
Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
mCAX is the same as mBAX so the answer would be 32 degrees
Answer:
$123,200
Step-by-step explanation:
0.06 x 2 = 0.12
140,000 x 0.12 = 16,800
140,000 - 16,800 = 123,200
You need to expand the brackets eg.
(w-9)8 basically means 8 x (w-9) = 8w-72
