Answer:
The vertex is at (5,4).
Step-by-step explanation:
I graphed both of the functions on the graph below.
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What is the answer to this equation. -g+2(3+g)=-4(g+1)
1 answer:
Answer:
The answer to the given equation -g+2(3+g)=-4(g+1) is g=-2
Step-by-step explanation:
Given -g+2(3+g)=-4(g+1)
To solve the given equation :
-g+2(3+g)=-4(g+1)
Applying the distributive property we get
-g+2(3)+2(g)=-4(g)+(-4)(1)
-g+6+2g=-4g-4
g+6=-4g-4 ( adding the like terms )
g+6-(-4g-4)=-4g-4-(-4g-4)
Applying the distributive property we get
g+6-(-4g)-(-4)=-4g-4-(-4g)-(-4)
g+6+4g+4=-4g-4+4g+4
5g+10=0 ( adding the like terms )
5g+10-10=0-10
5g=-10 ( adding the like terms )
Therefore g=-2
The answer to the given equation -g+2(3+g)=-4(g+1) is g=-2
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4x=3y+3 and 6y= 8x+ 36 and y=3x-1 and y= 6- x/3
4x=3y+3 and 6y= 8x are parallel and y=3x-1 and y= 6- x/3 are perpendicular.
See the attached plot for answer.
Answer:
Step-by-step explanation:
First, let us find the gradient of AB:
Gradient of AB =
=
We also need to know that The <em>product of gradients which are perpendicular to each other is -1</em>. Using this idea, we can find the gradient of the perpendicular bisector:
(Gradient of perpendicular bisector)( ) = -1
Gradient of perpendicular bisector =
Now, we need to know at which coordinates the perpendicular bisector intersects AB. <em>A perpendicular bisector bisects a line to two equal parts</em>. Hence the <em>coordinates of the intersection point is the midpoint of AB</em>. Thus,
Coordinates of intersection = ( ,
)
= ( 2, 1 )
Now, we can construct our equation. The equation of a line can be formed using the formula where
is the gradient and the line passes through
. Hence by substituting the values, we get:
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