Answer:
3n + 2
Step-by-step explanation:
Take the common denominator and divide by 3 then youll get 58
Given:
A line passes through (-5,-3) and perpendicular to
.
To find:
The equation of the line.
Solution:
We have,

On comparing this equation with slope intercept form, i.e.,
, we get

It means, slope of this line is
.
Product of slopes of two perpendicular lines is always -1.



Slope of required line is
and it passes through the point (-5,-3). So, the equation of the line is

where, m is slope.






Therefore, the equation of required line is
.
The answer is 7 times 4 goes into 30.
<u>Step-by-step explanation</u>:
- To check how many times a number goes into a larger number, use division.
- Divide 30 by 4.
⇒ 4
7 = 28 and 30-28 = 2
⇒ The quotient is 7.
⇒ The remainder is 2.
So, the number 4 goes 7 times into 30.
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44