Answer:
The slope is
5
3
.
The y-intercept is
−
10
.
Explanation:
5
x
−
3
y
=
30
is the standard form for a linear equation. The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope, and
b
is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for
y
.
5
x
−
3
y
=
30
Subtract
5
x
from both sides of the equation.
−
3
y
=
30
−
5
x
Divide both sides by
−
3
.
y
=
30
−
3
−
5
x
−
3
=
y
=
−
10
+
5
3
x
Rearrange the right hand side.
y
=
5
3
x
−
10
m
=
5
3
,
b
=
−
10
graph{y=5/3x-10 [-10, 10, -5, 5]}
12. A full turn is 360 degrees. 360 divided by 30 is 12.
The tan(-x) is the same thing as -tan(x). The tangent function is also the same thing as sin(x)/cos(x), right? So let's rewrite that tan in terms of sin and cos:
![[cos(x)][tan(-x)]](https://tex.z-dn.net/?f=%5Bcos%28x%29%5D%5Btan%28-x%29%5D)
is the same as
![[cos(x)][ -\frac{sin(x)}{cos(x)}]](https://tex.z-dn.net/?f=%5Bcos%28x%29%5D%5B%20-%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%5D%20)
We can now cancel out the cos(x), which leaves us only with -sin(x) remaining. So your answer is A.
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
<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