Answer:
C.
Step-by-step explanation:
The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.
Each ton is equal to 2,000 pounds, therefore each ton (12) times the number of pounds per ton (2,000) is 24,000 pounds! Hope this helps!!
Answer: (1,4)
Step-by-step explanation:
2x - 3y = -10
y = 4x
2x - 3(4x) = -10
2x - 12x = -10
-10x = -10
x = 1
y = (4)(1)
y = 4
Double Check:
2(1) - (3x4) = -10
2-12 = -10
-10 = -10
Answer:
10.5 cm
Step-by-step explanation:
12÷9= 1.3 (1dp)
14÷(12÷9)= 10.5cm
The partial fraction expansion takes the form
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)
Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.
Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:
-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)
Expand the right side and collect terms by powers of <em>x</em> :
-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)
It follows that
<em>a</em> + <em>b</em> = -6 and 8<em>a</em> + 2<em>b</em> = 0
==> <em>a</em> = -2 and <em>b</em> = 8
So we end up with
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)
