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BlackZzzverrR [31]
3 years ago
14

Use the FOIL method to find the product below.

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
It’s b: x^3 -3x^2-18x
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Find the center and radius of the circle whose diameter has an endpoint at (-3, -4) and the origin.
Zina [86]

Given end points of diameter,

(x1,y1)=(-3,-4)

(x2,y2)=(0,0)

Now,

the equation of circle is,

(x-x1)(x-x2)+(y-y1)(y-y2)=0

or, (x+3)(x-0)+(y+4)(y-0)=0

or, x^2 +3x +y^2 +4y =0

or, x^2 +y^2 +3x + 4y=0

which is in the form of x^2 +y^2 +2gx +2fy + c=0

where,

g=3/2

h=2

c=0

Now,

radius(r) =  \sqrt{ {g}^{2}  +  {f}^{2} - c  } \\  =  \sqrt{ \frac{ {3}^{2} }{ {2}^{2} } +  {2}^{2}  - 0 }  \\  =  \sqrt{ \frac{9}{4}  + 4}  \\  =   \sqrt{ \frac{25}{4} }  \\  =  \frac{5}{2}

6 0
3 years ago
If you were to describe a translation, what information would you need to include in your description?
julia-pushkina [17]

Answer:

Apart from Knowing the coordinates of vertices of triangle ,we must know by how much the coordinates of vertices of triangle and in which direction , it is translated.There are four kinds of translation possible

→Either Horizontally right and Vertically up

→Either Horizontally left and Vertically up

→Either Horizontally right and Vertically down

→Either Horizontally left and Vertically down

Step-by-step explanation:

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5 0
3 years ago
Consider the line y=-x-3.
kicyunya [14]

Answer:

perp: 1

y - 5 = x -6

y = x - 1

parallel: -1

y - 5 = -(x - 6)

y - 5 = -x + 6

y = -x + 11

4 0
3 years ago
A sailboat travels 48 miles upstream in 6 hours and return back downstream in 4 hours. What is the speed of the boat in still wa
Kipish [7]
Let s be the speed of the boat in still water.
Let c be the speed of the current.
s - c = 48/6 = 8
s + c = 48/4 = 12
Adding the two equations, we get:
2s = 20
s = 10
The answer is 10 miles per hour.
4 0
3 years ago
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3 years ago
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