An equation is formed when two equal expressions.The equation of a line that is perpendicular to y=2x+4 and passes through the point (4,6) is y=-(1/2)x+8.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The product of the slope of the two perpendicular lines is -1. Therefore, the slope of the perpendicular line is,
m × 2 = -1
m = -1 /2
Thus, the equation of the perpendicularline becomes y=-(1/2)x+c.
Now, if the coordinate of the point is substituted in the equation of the perpendicular line.
y = -(1/2)x + c
6 = -(1/2)(4) + c
6 = -2 + C
8 = c
Therefore, the final equation is y=-(1/2)x+8.
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Answer:
y= -1/2x + 8
Step-by-step explanation:
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tan65°
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D is the answer
Step-by-step explanation:
4*2 is equal to 8 so it would be 8x 4*3y is equal to 12y
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200