What is the equation of the line that is perpendicular to y = -4x +5 and passes through the point (4, -3)?
A. y=4x-19 B. y=-4+13 C. y=1/4x-4 D. y=-1/4x-2

The answer is C, y = 1/4x - 4

Step-by-step explanation:

First, we have to find the slope of the perpendicular line, and to do so you must take the slope of the given line and opposite reciprocate it.

To do so, you first reciprocate the slope by flipping the numerator and denominator which now makes -4 into -1/4.

Then we have to make it the opposite value, like making a negative into a positive or a positive into a negative. In this case you make -1/4 into a positive 1/4.

We now have the slope of the perpendicular line and can make out answer choices A and B. Which now leaves us with C and D.

The line must go through the point (4, -3). To do that we must adjust the y-intercept until it goes though that point.

We get the y-intercept of -4 and the line that has the y-intercept of -4 and the slope of 1/4 is C.

You answer is C, y = 1/4x - 4.

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.