What is the slope of the equation y=7x-10
2 answers:
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Answer:
This is equivalent to
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Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression is the same as
after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
- This entire process only applies to 30-60-90 triangles.
- The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is
units long.
- You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.
The Venn diagram which represents the distribution of the participant in the drug trial is attached below. The Number of participants in the drug trial that has anxiety is 370
We can find the number of participants who has dizziness(D). Fatigue(F) and anxiety(A) can be calculated thus :
n(D) = n(D only) + (DnF only) + (DnA only) + (DnAnF)
271 = 36 + 86 + 23 + x
271 = 145 + x
x = 271 - 145
x = 126
- n(DnAnF) = 126
<u>Number who has </u><u>atleast one of the three</u><u> side effects can be expressed thus</u> :
n(A only) + n(F only) + n(D only) + (DnF only) + (DnA only) + (DnAnF) + n(FnA only) = 585
36 + 23 + 62 + 86 + 126 + 93 + n(FnA) only = 585
- n(FnA only) = 585 - 426 = 159
<u>Number of participants</u><u> who has </u><u>anxiety</u><u> can be calculated thus</u> :
n(DnAnF) + (DnA only) + n(FnA only) + n(A only)
126 + 23 + 159 + 62 = 370 participants
Therefore, 370 of the total participants has Anxiety.
Learn more : brainly.com/question/12570490
