Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
Step-by-step explanation: To write 60/80 that has a denominator less than 80, we can write reduce this fraction.
Notice that 60/80 can be reduced because 60 and 80 have a greatest common factor of 20. So we divide both 60 and 80 by 20 to get 3/4. Now, this is an equivalent fraction that has a denominator that's less than 80. Image is provided below.
Answer:
choice a.) degree 3, constant term -1 leading coefficient 1
Step-by-step explanation:
expand the binomial product
(x - 1)(xx + 1) = xxx - 1 + x - xx
Answer:
x = 20
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
9x = 180 ( divide both sides by 9 )
x = 20
Compare this function to y=ax^2 + bx + c. You can readily see that a=2, b=0 and c=6.
The x-coord. of the vertex is at x = -b / (2a). Subbing the given values for a and b, we get
x = -(0) / (2(2) = 0. At x = 0, y = 6, so the vertex of this parabola is (0,6). It opens upward.