Answer: b = 2a/h
Step-by-step explanation:
a = bh/2
multiply each side by 2
2a = bh
divide each side by h
2a/h = b
Answer:
5 5/7
Step-by-step explanation:
-4•6/7•-5/3
Put the numbers as fractions
-4/1•6/7•-5/3
Rewriting
-4/1 * 6/3 * -5/7
Simplifying the middle fraction
-4/1 * 2/1 * -5/7
Multiply the first two terms
-8/1 * -5/7
Multiplying
40/7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
Let cos x = a, then
2a^2 + a - 1 = 0,
solving the quadratic equation, we have:
a = 0.5 or -1.
i.e. cos x = 0.5 or cos x = -1
for cos x = 0.5,
x = pi/3, 2pi - pi/3 = pi/3, 5pi/3
for cos x = -1,
x = pi
therefore, x = pi, pi/3, 5pi/3
Answer: B
If x^2+bx+16 has at least one real root, then the equation x^2+bx+16=0 has at least one solution. The discriminant of a quadratic equation is b^2-4ac and it determines the nature of the roots. If the discriminant is zero, there is exactly one distinct real root. If the discriminant is positive, there are exactly two roots. The discriminant of <span>x^2+bx+16=0 is b^2-4(1)(16). The inequality here gives the values of b where the discriminant will be positive or zero:
b^2-4(1)(16) ≥ 0
</span><span>b^2-64 ≥ 0
(b+8)(b-8) </span><span>≥ 0
The answer is that all possible values of b are in the interval (-inf, -8]∪[8,inf) because those are the intervals where </span>(b+8)(b-8) is positive.
The base units of length and volume are linked in the metric system.
liter( L) or milliliters (mL)
