Give the slope-intercept form of the equation of the line that is perpendicular to 5x+2y=12 and contains the point (2, 3)

Mathematics

1 answer:

dimulka [17.4K]3 years ago

3 0

Answer:

y=2/5x+1

Step-by-step explanation:

Change the equation to slope intercept form

5x+2y=12

-5x -5x

2y=-5x+12

divide by 2

y=-5x/2+6

The slope is -5/2 so, you need to find the reciprocal of that which is 2/5.

that is your new slope.

plot the point (2,3)

next plot another point using the slope and draw a line, connecting them.

where it crosses the y axis will be the "b"

So, y=mx+b is the equation..

m is the slope

b is the y intercept(wherethe line crosses the y axis)

So, y=2/5x+1

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The top of an off shore oil rig has an elevation of 199.2 m and its base has an elevation of -9.6 m and observation deck is loca

matrenka [14]

Answer: 57.6m

Step-by-step explanation:

That's a lot of words that questions usually use to try to trip us up but not this time so lets pull all relevant information

199.2m= top of off shore oil rig

-9.6 m is the base of the rig

observation deck is 1/6 of the total height

helly pad is 22.8m above the observation deck

First lets try to find the total height of the rig. We can do this by adding the absolute value of the top and base of the oil rig. So 199.2 + 9.6 = 208.8m

So the total height is 208.8m now lets find the observation deck. We know the observaition is 1/6 of the total height which is 208.8m right so lets multiply. 1/6*208.8m= 34.8m

Now we know the observation deck is 34.8m high. Finally we can find the helly pad which is 22.8 m above the observation deck.

Since the observation deck is 34.8m and the helly pad is 22.8 above observation deck (34.8m) all we have to do is add so 22.8+34.8= 57.6m

So we know the total height is 208.8m

The observation deck is 34.8m

And the helly pad is 57.6m