a = 4, b = -21, c = -18
to keep from getting "mixed up", evaluate the discriminant first ...
b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729
sqrt(729) = 27
x = (21 +/- 27)/8
x = -3/4, x = 6
since the discriminant is a perfect square, the original quadratic will factor ...
4x<sup>2</sup> - 21x - 18 = 0
(4x + 3)(x - 6) = 0
x = -3/4, x = 6
Answer:
n = - 4
Step-by-step explanation:
note that 625 = , then
= =
Since the bases on both sides are equal, both 5 then equate the exponents
n = - 4
Answer:
Lines m and n cannot be parallel
Step-by-step explanation:
1. Because angles 2 and 3 are Same Side Interior Angles, they must be supplementary.
2. To check this you add the angles together (127 + 63) and it sums to 190 degrees, not 180
3. Since they don't agree with the laws of parallel lines, the lines that the angles are on can't be parallel
4. Angles 2 and 3 reside on lines m and n so lines m and n cannot be parallel
Answer:
Step-by-step explanation:
m + 62 = 45
m = -17
x + 25 = 8
x = -17
Answer:
Step-by-step explanation:
a) False. There are three factor pairs for 36:
1×36
2×18
3×12
4×9
6×6
b) True.
18 = 2×3²
Odd divisors of 18: 1, 3, 9
1+3+9 = 13
c) False
100 = 2×5²
25 = 5²
Greatest common divisor = 25