Answer:
9 plus ten is 19
Step-by-step explanation:
Janine’s error is that she incorrectly counted the spaces that point C has shifted. Focusing on point C like Janine did, to get to point C’ you would need to shift 3 units to the left and 5 units down. This would make the new translation rule (x-3, y-5) to get from triangle ABC to triangle A’B’C’.
Answer:
40 miles per hour
Step-by-step explanation:
Driver a could be going 50 miles per hour
Driver c could be going 30 miles per hour
40 miles per hour is in the middle so that could be your answer
Answer: The voltage across an identical resistor = 60 Volts
Step-by-step explanation:
Step 1
Given that voltage across the resistor is directly proportional to the current running through the resitor.
Mathematically, it would be represented as
Voltage ∝ Current
Introducing the constant of proportionality, k which represents the Resistor as it is constant.
we have that
Voltage = K x Current
When current = 12 amps and voltage = 480v, the constant of proportionality K
480 = k x 12
k = 480/12
k= 40
Step 2 ,
when current = 1.5 amps
Voltage = ?
Using our equation that
Voltage = K x Current
Voltage = 40 x 1.5
Voltage = 60 Volts
4k² + 17k + 7 = 3k
<u> - 3k - 3k</u>
4k² + 14k + 7 = 0
x = <u>-(14) +/- √((14)² - 4(4)(7))</u>
2(4)
x = <u>-14 +/- √(196 + 112)</u>
8
x = <u>-14 +/- √(308)
</u> 8<u>
</u>x = <u>-14 +/- 2√(77)
</u> 8<u>
</u>x = <u>-7 +/- √(77)
</u> 4
x = -1.75 +/- 0.25√(77)
x = -1.75 + 0.25√(77) ∨ x = -1.75 - 0.25√(77)
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