Step-by-step explanation:
1) the domain is from -3 to 5 D [-3,5]
the range is from -5 to -2. R [-5,-2]
2)the domain is from -3 to 6 but not including 6 D [-3,6)
the range is from -5 but not including -5 to 2. R (-5,2]
Answer:
3280
Step-by-step explanation:
52×63=3276
Round 3276 to 3280
Hope this helps! :)
When roots of polynomials occur in radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
The first factor is x - (a + √b).
The second factor is x - (a - √b).
The polynomial is
f(x) = [x - (a + √b)]*[x - (a - √b)]
= x² - x(a - √b) - x(a + √b) + (a + √b)(a - √b)
= x² - 2ax + x√b - x√b + a² - b
= x² - 2ax + a² - b
This is a quadratic polynomial, as expected.
If you solve the quadratic equation x² - 2ax + a² - b = 0 with the quadratic formula, it should yield the pair of conjugate radical roots.
x = (1/2) [ 2a +/- √(4a² - 4(a² - b)]
= a +/- (1/2)*√(4b)
= a +/- √b
x = a + √b, or x = a - √b, as expected.
Ray CD cuts angle PCR in half.
PCD = 35 degrees.
So, RCD = PCD or 35 degrees.
According to the data given above; x= 3..
y=x+4
y=3+4
y=7