Answer:
f(g(x))=(x-2)^2 - 7
(x-2)(x-2) - 7
x^2-2x-2x+4-7
x^2-4x-3
g(f(x))=x^2-2-7
x^2-9
(x+3)(x-3)
Step-by-step explanation:
- to solve for f(x), replace x with the g(x).
- since we don't multiply a bracket with the negative or the positive signs to the
- exponent, you have to factor into two binomials.
- use the FOIL method to eliminate the brackets.
- add like-terms
- to find g(x), replace x with the f(x).
- add like-terms
- since there's difference of square, factor them into two binomials
Answer:
Six numbers have perfect square factors
Step-by-step explanation:
The numbers with perfect square factors are those numbers that have perfect squares as one of the numbers that can divide them.
They include:
4 = 2 * 2
16 = 4 * 4
36 = 6 * 6
49 = 7 * 7
64 = 8 * 8
81 = 9* 9
These numbers above have perfect square factors because they are formed from integers that multiply themselves.
Answer:
B . Yes
Step-by-step explanation:
Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.
Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.
To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:
c² = a² + b², where,
c = longest side (hypotenuse) = 37
a = 12
b = 35
Plug in the value
37² = 12² + 35²
1,369 = 1,369 (true)
Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.
Thus, segment ST is a tangent to circle P.
