The equation would use to determine how long he drove each way is 2x - 8 = 60.
<h3>What is the equation?</h3>
The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given that Lots took one hour to drive from his apartment to Philips arena and back. the return drive took 8 minutes less than the trip to the arena.
Since the return trip took 8 minutes less, the complete equation must be written in minutes.
Here x - 8 represents the time it took to return to Philips Arena.
The total travel time, including both directions, was 60 minutes;
thus, add x and x - 8 and set them both equal to 60.
So 2x - 8 = 60
Therefore, the equation would use to determine how long he drove each way is 2x - 8 = 60.
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Answer:
D) 55/73
Step-by-step explanation:
The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH
is denoted as stated below.
Hence, given the above triangle,
Therefore, the sine of angle u = 55/73 (D)
Answer:
x = -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−46+23=46x+23
(−46+23)=46x+23(Combine Like Terms)
−23=46x+23
−23=46x+23
Step 2: Flip the equation.
46x+23=−23
Step 3: Subtract 23 from both sides.
46x+23−23=−23−23
46x=−46
Step 4: Divide both sides by 46.
46x/46 = -46/46
Answer:
A. (x−2y)(y−3x)
=(x+−2y)(y+−3x)
=(x)(y)+(x)(−3x)+(−2y)(y)+(−2y)(−3x)
=xy−3x2−2y2+6xy
=−3x2+7xy−2y2
B. (2p+3)(p2−4p−7)
=(2p+3)(p2+−4p+−7)
=(2p)(p2)+(2p)(−4p)+(2p)(−7)+(3)(p2)+(3)(−4p)+(3)(−7)
=2p3−8p2−14p+3p2−12p−21
=2p3−5p2−26p−21
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