ANSWER
The standard form is:

EXPLANATION
The given line passes through (4,10)and (6,11).
The slope of this line is


The equation is given by the formula,

We plug in the first point and the slope to get.




The standard form is

Answer:
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Step-by-step explanation:
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Given:
The height of a golf ball is represented by the equation:

To find:
The maximum height of of Anna's golf ball.
Solution:
We have,

Differentiate with respect to x.


For critical values,
.




Differentiate y' with respect to x.


Since double derivative is negative, the function is maximum at
.
Substitute
in the given equation to get the maximum height.




Therefore, the maximum height of of Anna's golf ball is 6.25 units.
Answer:
12x + 4x + 20
4(3x + x + 5)
4(4x+5)
Step-by-step explanation: