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V125BC [204]
3 years ago
9

What is the equation of the line that passes through the point (-3, 6) and has a slope of -2?

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

y = -2x

Step-by-step explanation:

y = mx + c

Substitute the value,

6 = (-2)(-3) + c

c = 0

Thus, the equation is y = -2x

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What is the result of subtracting the second equation from the first? <br> -4x-2y=-2<br> x-2y=9
diamong [38]

Answer:

x=2.2

y=-3.4

Step-by-step explanation:

subtract the second from the first

-5x=-11

x=2=2

substituting by x in the first equation

so y=-3.4

6 0
2 years ago
A wire 6 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass ornament, while the
zhenek [66]

Answer:

Used wire in circle  x = 2.64 m

Used in square   L - x = 3.36 m

Total wire used 6 m

Step-by-step explanation:

We have a wire of 6 meters long.

We will cut it a distance x from one end, to get two pieces

x    and   6 - x

We are going to use the piece x  to get the circle then

So Perimetr of a circle is 2π*r    (r is the radius of the circle) then:

x = 2*π*r    ⇒    r = x/2*π

And area would be  A(c) = π* (x/2*π)²   ⇒ A(c) = x²/4π

From 6 - x we will get a square, and as the perimeter is 4 times the side

we have

( 6 - x )/ 4  is the side of the square

And the area is  A(s) = [( 6 - x ) /4]²

Total area as function of x is

A(t)  = A(c) + A(s)

A(x)  =  x²/4π  + [ ( 6  -  x  ) / 4 ]²

A(x)  =   x²/4π  + (36 + x² - 12x) /16

A(x)  = 1 / 16π [ 4x² + 36π + πx² -  12π x ]

Taking drivatives on both sides of the equation we get:

A´(x) = 1/ 16π [8x +2πx - 12π]

A´(x) = 0    ⇒      1/ 16π [8x +2πx - 12π]  = 0

[8x +2πx - 12π]  = 0

8x + 6.28x -  37.68  = 0

14.28x - 37.68 =  0      ⇒  x  = 37.68 /14.28

x = 2.64 m   length of wire used in the circle

Then the length L  for the side of the square is  

(6 - x )/4    ⇒ ( 6 - 2.64 )/ 4   ⇒ 3.36 / 4    

L = 0.84 m   total length of wire used in the square is

3.36 m

And total length of wire used is 6 m

The function is a quadratic  function and "a" coefficient is positive then is open upward parabola there is not a maximun

5 0
3 years ago
What is the least common multiple of 8 and 18?<br> A<br> 16<br> B<br> 36<br> С<br> 72<br> D<br> 144
Verdich [7]

Answer:72

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Plz help!!!!!!!!!!!!!
vaieri [72.5K]

Answer:  The correct answer is -2,5/2 which is the last answer.

Step-by-step explanation:

* Hopefully the work below helps:)Mark me the brainliest:)!!

6 0
3 years ago
Read 2 more answers
I’ll give brainliest please help
Angelina_Jolie [31]

Answer:

130

Step-by-step explanation:

91 is 70 percent of the price

70% of 130 is 130*0.7 = 91

5 0
2 years ago
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