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bazaltina [42]
3 years ago
15

The point slope form of an equation of the line that passes through (-4, -3) and (12, 1) is y -1 =1/4(x-12). What is the standar

d form of the equation for this line?
Mathematics
1 answer:
luda_lava [24]3 years ago
6 0

The standard form: Ax + By = C.

We have:

y-1=\dfrac{1}{4}(x-12)\qquad|\text{multiply both sides by 4}\\\\4y-4=x-12\qquad|\text{add 12 to both sides}\\\\4y+8=x\qquad|\text{subtract 4y from both sides}\\\\8=x-4y

<h3>Answer: x - 4y = 8</h3>
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A shipping company needs to determine the number of Styrofoam packing peanuts that fit per square foot in a box that measures 20
Mumz [18]
1) We have 1300 packing peanuts, and 20 ft^2. Therefore, to find out how many packing peanuts there are per square foot, we divide the number of peanuts (1300) by the number of square feet (20 ft^2). This gives us 1300 / 20 = 65 packing peanuts per square foot.
2) We do not know the current volume of the box which fits the 1300 packing peanuts (all we know is its area). But it is reasonable to expect that if we increase the volume by 25%, the number of packing peanuts will also increase by 25%. This means we can fit 1300*(1.25) = 1625 peanuts in the larger box.
3) This will depend on how the box is larger. If its height remains the same, and its floor area increases to accommodate the greater volume, then the number of packing peanuts per square foot remains the same.
However, if the height of the box is different, then the number of packing peanuts per square foot will change, since the floor area will not increase by the same 25% any more.
3 0
4 years ago
An airplane has begun its descent for a landing. When the airplane is 150 miles west of its destination, its altitude is 25,000
belka [17]
The airplane has descended (25,000 - 19,000) = 6,000 feet
while flying (150 - 90) = 60 miles.

If the descent is modeled by a linear function, then the slope
of the function is

             (-6000 ft) / (60 miles)  =  - 100 ft/mile .

Since it still has 19,000 ft left to descend, at the rate of 100 ft/mi,
it still needs to fly

           (19,000 ft) / (100 ft/mile) =  190 miles

to reach the ground.

It's located 90 miles west of the runway now.  So if it continues
on the same slope, it'll be 100 miles past the runway (east of it)
when it touches down.

I sure hope there's another airport there.
5 0
4 years ago
Read 2 more answers
One thousand three hundred twenty feet are what part of a mile? Please give answer in lowest terms.
sashaice [31]
1320 ft out of a mile. 5280 feet in a mile so 

1320/5280 

keep simplifying until you get to 1/4
3 0
4 years ago
Read 2 more answers
Find sin S, sin R,cos S, and cos R.
Marina86 [1]

Answer:

sin S = 9/13

sin R= 8/13

cos S= 8/13

cos R= 9/13

4 0
3 years ago
What is 601.8 rounded to the nearest tenth
Romashka [77]

Answer:

Rounding decimals tells us that it is very similar to rounding the number.

  • If hundredths and thousandths places of any decimal number is 49 or less, then they are dropped and  tenths place does not change.

i.e rounding 0.843 to the nearest tenths would give 0.8

  • If  hundredths and thousandths  places of any decimal number are 50 or more, then the tenths place is increased by 1.

i.e 0.869 rounded to nearest tenths would give 0.9

Given the number 601.8.

Then,

the number rounded to the nearest tenth is, 601.8.


8 0
4 years ago
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