Answer:
The reaction ca occur at 10 degree Celsius or -14 degree Celsius.
Step-by-step explanation:
We are given the following in the question:
The completion of a chemical reaction is expressed by the equation

where y is the number of seconds needed to complete the reaction and x is the temperature in degrees Celsius at which the reaction occurs.
We have to find the temperature at which the reaction occurs, if the completion time of reaction is 160 seconds.
Putting y = 160

Thus, the reaction ca occur at 10 degree Celsius or -14 degree Celsius.
3sinx+1=sinx
2sinx+1=0
2sinx=-1
sinx=-1/2
x=sin^-1 (1/2) = 30 =

/6 (when finding the inverse, always take the positive value, ignore the negative sign)
x is therefore negative in 3rd and 4th quadrant
Therefore values of x are:
180+30=210 = 7

/6
360-3=330 = 11

/6
Answer:
D
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here { a, b ] = [ - 1, 2 ], thus
f(b) = 4 ← from (2, 4 )
f(a) =
← from (- 1,
) , thus
average rate of change =
=
=
→ D
The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:

To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:
For PQ
For QR
Answer:
You have that the lengths for the other two sides of triangle PQR are:
Step-by-step explanation:
Hey there!!
You can simply use midpoint formulae to find midpoint of the coordinates.
Here, Given that;
G(3,3) and H(-7,7).
Using midpoint formulae,
)
)
After simplifying it we get,
= (-2,5).
Therefore, midpoint of GH is M(-2,5).
<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>