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Degger [83]
3 years ago
14

What is the equation of the line that passes through the point (6, 1) and is perpendicular to the line y = –3x + 2

Mathematics
1 answer:
sammy [17]3 years ago
4 0
The slope of the given equation of the line, y = -3x + 2 is equal to -3. The slope of the line perpendicular to it is 1/3. The equation of the line may be expressed in slope-point form which can generally be expressed as,
                               y - y1 = m(x - x1)
Substituting the values,
                               y - 6 = (1/3)(x - 1) 
Simplifying,
                                 y = x/3 +17/3
The answer is not among the choices. 
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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $4.30 per square
almond37 [142]

Answer:

C=$(4.30xy+5.40(xz+yz))

Step-by-step explanation:

Surface Area of a Cuboid=2(LW+LH+HW)

Since the top is open

Surface Area = LW+2(LH+HW)

If Length = x feet,

Width =y feet

Height = z feet

Surface Area = xy+2(xz+yz)

Area of the base=xy

If it costs $4.30 per square foot to build the base

Cost of the base=Cost Per Square Foot X Area = $4.30xy

Area of the sides =2(xz+yz)

If it costs $2.70 per square foot to build the sides

Cost of the sides=Cost Per Square Foot X Area of the sides

= 2.70 X 2(xz+yz)

=5.40(xz+yz)

Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.

Therefore,

C=$(4.30xy+5.40(xz+yz))

7 0
3 years ago
Solve for x: -4(3x − 2) = 6x + 2
stepladder [879]

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

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