Sin a * cos b + cos a * sin b=sin (a+b)
sin 78 * cos 42 + cos 78* sin 42=sin (78+42)=sin 120=sin(180-120)=
sin 60=√3 / 2
Answer: sin 78 * cos 42 + cos 78* sin 42=<span>√3 / 2</span>
ANSWER
See explanation
EXPLANATION
The table contains these two points (-4,-3) and (2,-4.5)
The slope of this line is given by;



The y-intercept can be obtained by finding the equation of the line in the form:

We plug in the slope and the point (-4,-3) to find c.
This implies that,



Hence the y-intercept is -4.
The given line is

This is already in the slope intercept form:
The slope is

The y-intercept is c=1
Answer:
19.92
Step-by-step explanation:
4.8 x 4.15
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
<u>Given</u>:
The given monomial expression is 
We need to simplify the given monomial expression.
<u>Simplification:</u>
Let us simplify the given expression.
Dividing the numbers 16 and 4, we get;

Let us apply the exponent rule
in the above expression.
Thus, we get;

Subtracting the numbers in the numerator of the above expression, we get;

Thus, the simplified expression is 