y = 4x/5 - 22/5
Given slope of line is 4/5 and point is (3,-2)
Slope, Numerical measure of a line's inclination relative to the horizontal. In differential calculus, the slope of a line tangent to the graph of a function is given by that function’s derivative and represents the instantaneous rate of change of the function with respect to change in the independent variable.
The equation of a straight line in the form:
y − y1 = m(x − x1)
where m is the slope of the line = 4/5 (According to question)
and (x1, y1) are the coordinates of a given point on the line.
compare slope-intercept form.
substituting values
(y+2) = (4/5) (x-3)
⇒ y = 4x/5 - 22/5
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Given:
solve:
A.
![\sf -1200 + 2.5N = -5000+1.6N](https://tex.z-dn.net/?f=%5Csf%20-1200%20%2B%202.5N%20%3D%20-5000%2B1.6N)
![\sf 2.5N - 1.6N = -5000 + 1200](https://tex.z-dn.net/?f=%5Csf%202.5N%20-%201.6N%20%3D%20-5000%20%2B%201200)
![\sf 0.9N = -3800](https://tex.z-dn.net/?f=%5Csf%200.9N%20%3D%20-3800)
![\sf N = \frac{-3800}{0.9}](https://tex.z-dn.net/?f=%5Csf%20N%20%3D%20%5Cfrac%7B-3800%7D%7B0.9%7D)
![\sf N = -4222\frac{2}{9}](https://tex.z-dn.net/?f=%5Csf%20N%20%3D%20-4222%5Cfrac%7B2%7D%7B9%7D)
![\sf N = -4222.222...](https://tex.z-dn.net/?f=%5Csf%20N%20%3D%20-4222.222...)
Find P:
![\sf P = -5000+1.6(4222.222)](https://tex.z-dn.net/?f=%5Csf%20P%20%3D%20%20-5000%2B1.6%284222.222%29)
![\sf P = -11755.55...](https://tex.z-dn.net/?f=%5Csf%20P%20%3D%20-11755.55...)
B.
As the number continues and is endless, it is an approximate solution.
Conver 1/3 to 4/12 then do 13 1/12 - 10 4/12 to get 2 9/12
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
Consider the left side
← multiply numerator/denominator by (1 + sinA)
=
← expand denominator using FOIL
= ![\frac{cosA(1+sinA)}{1-sin^2A}](https://tex.z-dn.net/?f=%5Cfrac%7BcosA%281%2BsinA%29%7D%7B1-sin%5E2A%7D)
=
← cancel cosA on numerator/ denominator
=
= right side , thus proven