Answer: 15=x
Step-by-step explanation:
a²+b²=c²
a=9
b=12
c=x=?
9²+12²=c²
81+144=c²
*square root* of 225= *square root* of c²
*square root* of 225= c
15=c
Answer:
c=3
Step-by-step explanation:
These are both rational numbers, because they are (our could be written as) a fraction. 1.45 = 145/100
There is no smaller subset of real numbers that works, because the next smaller subset is integers, but these aren’t integers.
The hill describes a right triangle with the position of the cable (the base) = 80ft and makes an angle of 19° with the horizontal.
Let the height of the hill be x.
tan 19° = x/80
x = 80 tan 19° = 27.5462
The height of the hill and the pole = 27 + 27.5462 = 54.5462
The required length of the cable is given by sqrt(80^2 + 54.5462^2) = sqrt(6400 + 2975.2889) = sqrt(9375.2889) = 96.83 feet.
Answer:
f(x) = x² - 10x + 24
Step-by-step explanation:
The quadratic function has a graph that passes through the points (4,0) and (6,0).
Therefore, the graph has two x-intercepts at x = 4 and x = 6 and those are the roots of the equation.
So, (x - 4) and (x - 6) are two factors of the quadratic equation.
Then we can write the equation as
f(x) = (x - 4)(x - 6)
⇒ f(x) = x² - 4x - 6x + 24
⇒ f(x) = x² - 10x + 24
Hence, this is the required quadratic function in standard form. (Answer)