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3 years ago

What is the equation of the line written in general form (2,4) (-1,-5)

1 answer:

6 0

First, you must find the slope, which is -5-4/-1-4, or 1.8, and then put it in point-slope form, or y-4=1.8(x-2), which simplifies to y-4=1.8x-3.6, and so put it in general/standard form, you have to subtract 1.8x from both sides and then add 4 to both sides, and lastly divide both sides of the equation by -1.8 to get x+y=1.889, or x+y=1.6/1.8. This is not copied and pasted.

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An artist cuts 4 squares with side length x ft from the corners of a 12 ft-by-18 ft rectangular piece of sheet metal. She bends

Kruka [31]

Answer:

$V=4x^3-60x^2+216x$

Step-by-step explanation:

<u>Volume And Function s</u>

Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

$V=abc$

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below .

If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

$V=x(12-2x)(18-2x)$

Operating and simplifying

$V=4x^3-60x^2+216x$

8 0

3 years ago

The area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is

Pie

We know that the points at which the parabola intersects the x axis are

(-5,0) and (1,0)

So the extent between these two points would be the base of the triangle

lets find the length of the base using the distance formula

$\sqrt{[(-5-1)^{2}+(0-0)^{2} ]}$

the base b=6

We will get the height of the triangle when we put x=0 in the equation

y=a(0+5)(0-1)

y=-5a

so height = -5a (we take +5a since it is the height)

We know that the area of the triangle =

$\frac{1}{2}$ × 6 × (5a) = 12

15a=12

a= $\frac{4}{5}$

7 0

3 years ago

Write an exponential function in the form y=ab^xy=ab

Zarrin [17]

Answer:

Step-by-step explanation:

$y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x$

8 0

2 years ago

Please van you work out 5/6 of 54

Talja [164]

Answer:

Step-by-step explanation:

1/6 of 54= 9

9*5=45

5 0

3 years ago

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Setler79 [48]

Step-by-step explanation:

<u>Step 1: Answer the question</u>

They are independent because the cards are always going to stay the same. If each card that was picked and discarded, that would alter the future which would make it dependent. But... since it doesn't change the cards, it is independent.

Answer: independent

5 0

3 years ago

Read 2 more answers