Answer:
-3/2
Step-by-step explanation:
Remeber, to find slope we use this formula:
y - y all over x - x, or (y-y) / (x-x)
(6-9) / (5-3)
-3 / 2
= -3/2
Joe completes an average of (10 ft)/(5 h) = 2 ft/hour. Bill completes an average of (10 ft)/(4 h) = 2.5 ft/hour. Together, they complete 2+2.5 = 4.5 ft/hour. At that rate, it will take them
... (120 ft)/(4.5 ft/h) = 26 2/3 h
Answer: x = -5 1/7
Step-by-step explanation:
-22 - x = 5 + 6x + 9
First, combine the like terms 5 and 9
5 + 9 = 14
-22 - x = 14 + 6x
Add x to each side
-22 = 14 + 7x
Subtract 14 from each side
-36 = 7x
Divide each side by 7
x = -5 1/7 (Yes, a fraction.)
About 390 km because you drive 130 km per hour so 130 times 3 is 390
<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
