The 2-point form of the equation of a line is
.. y = (y2 -y1)/(x2 -x1)*(x -x1) +y1
For your points (x1, y1) = (0, 3) and (x2, y2) = (3, 5), this is
.. y = (5 -3)/(3 -0)*(x -0) +3
.. y = (2/3)x +3
Written as a function, it is
.. f(x) = (2/3)x +3
Answer:
x = 7.3
Step-by-step explanation:
When solving for missing sides using angles, use trig functions.
We have the angle 63° to use.
We are given the hypotenuse of the triangle, as well as the side adjacent to the angle, so we can use the cos function.
Cos T = (adjacent side)/(hypotenuse)
Here we know 'T' and the hypotenuse, so plug them in and solve
Cos 63° = x/16
(16)Cos 63° = x (multiply both sides by 16 to isolate 'x')
7.263847996 = x (use your calculator to solve the left side)
7.3 = x (rounded to the nearest 10th)
17.83 times 1.1
=19.613
17.83+19.613
=37.443
=37.5 dollars
Answer:
Step-by-step explanation:
Simplifying
6x + -3 = (3x + -2)
Reorder the terms:
-3 + 6x = (3x + -2)
Reorder the terms:
-3 + 6x = (-2 + 3x)
Remove parenthesis around (-2 + 3x)
-3 + 6x = -2 + 3x
Solving
-3 + 6x = -2 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3 + 6x + -3x = -2 + 3x + -3x
Combine like terms: 6x + -3x = 3x
-3 + 3x = -2 + 3x + -3x
Combine like terms: 3x + -3x = 0
-3 + 3x = -2 + 0
-3 + 3x = -2
Add '3' to each side of the equation.
-3 + 3 + 3x = -2 + 3
Combine like terms: -3 + 3 = 0
0 + 3x = -2 + 3
3x = -2 + 3
Combine like terms: -2 + 3 = 1
3x = 1
Divide each side by '3'.
x = 0.3333333333
Simplifying
x = 0.3333333333
