Answer:
f(x) = x² - 4x - 12
Step-by-step explanation:
f(x) = (x - 6)(x + 2)
f(x) = x² + 2x - 6x - 12
f(x) = x² - 4x - 12
The equation of a circle is
(x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
(x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13
The standard equation of the circle is (x-2)² + (y-3)² = 13.
Answer:
y =0
Step-by-step explanation:
From the equation;
8³ × 8⁻⁵×8^y = 8⁻²= 1/8²
From the laws of indices;
aⁿ×aⁿ = a^2n
Therefore;
8³ × 8⁻⁵×8^y = 8^(3+-5+y)
8^(-2+y) = 8^-2 ; but the bases are the same and thus the exponents are the same;
-2 + y = -2
y = 0
0.3 is the decimal of 45/150
To change fraction into decimal you need the divide the denominator by the numerator.
So 150 divided by 45 is 0.3.