Write an equation in slope-intercepts form for the line that passes through (5, -4) and is perpendicular to the line described by 2x-10y=0 EXPLAIN what you did in each step to arrive at your answer plz

y = -5x + 21

Step-by-step explanation:

First, put 2x - 10y = 0 into slope intercept form to find the slope:

Subtract 2x from both sides:

-10y = -2x

Divide each side by -10:

-10y = -2x

y = 1/5x

So, the slope of the line is 1/5.

Perpendicular lines have opposite reciprocal slopes, so the slope of the other line will be -5.

Then, use the equation y = mx + b to plug in the slope and the point given.

Solve for b:

y = mx + b

-4 = -5(5) + b

-4 = -25 + b

21 = b

Lastly, plug in the slope and b into y = mx + b to create the equation in slope intercept form:

y = -5x + 21 is the equation

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3

$3720

step-by-step explanation:

taxable income = $31000

as per the 2018-2019 us tax bracket, the tax rate is 12% for an individual whose taxable income is between $9,526 to $38,700.

so, the tax to be paid by him = 12% of 31000

= 0.12 * 31000     [12% converted to decimal as 0.12]

= $3720