Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line
Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed
Answer:
18/20
Step-by-step explanation:
There are 20 cards in total. The 9 yellow and brown cards makes 18 cards. Since we want the yellow or brown, the probability is 18 out of 20 cards.
Cosine is a trigonometric function. The value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2. The correct option is A.
<h3>What is a cosine?</h3>
Cosine is the trigonometric function equal to the ratio of the side next to an acute angle to the hypotenuse in a right-angled triangle.
Given the value of cos(x)=-(√3)/2, therefore, the value of x can be written as,
cos(x) = -(√3)/2
(x) = cos⁻¹ [-(√3)/2]
x = 5π/6 = 150°
Now, the value of cos(x+π) will be,
cos(x+π)
= cos[(5π/6)+π]
= cos(11π/6)
= √3 / 2
Hence, the value of cos(x+π), when the value of cos(x)=-(√3)/2 is √3/2.
Learn more about Cosine function here:
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Let the speed of the current be x mi/hr
speed upstream=(12-x) mi/hr
speed downstream=(12+x) mi/hr
It takes 3 hours longer to travel upstream than downstream, thus
time taken upstream=68/(12-x)
time taken to travel downstream=68/(12+x)
the difference in time will be:
68/(12-x)-68/(12+x)=3
solving for x we get:
x=2.98 mi/hr
Thus the rate of current is 2.98 mi/hr