Write the equation in slope intercept form then graph the equation in coordinate plane
-16x + 4 - 4y = 4x

y = - 5x + 1

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

The given equation is

-16x + 4 - 4y = 4x.

We would rearrange it so that it will look like y = mx + c. It becomes

4y = -16x - 4x + 4

4y = - 20x + 4

Dividing the left hand side and right hand side of the equation by 4, it becomes

4y/4 = - 20x/4 + 4/4

y = - 5x + 1

Slope = -5

Intercept = 1

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).