Same as any other midpoint of line segment or two points, it is the average of the two points x and y coordinates...
mp=((x1+x2)/2, (y1+y2)/2)
mp=((-6+16)/2, (-9+5)/2)
mp=(10/2, -4/2)
mp=(5, -2)
Let x,y be the two numbers.
Given that one number is 8 greater than another.
Let x be the smaller number ans y be the greater number.
That is y=x+8. Let this be the first equation.
And also given that product of the two numbers is 84.
That is x × y = 84, let us plugin y=x+8 here.
x × (x+8) = 84
x²+ 8x -84 = 0.
x²+12x-4x-84 = 0
x(x+12)-4(x+12) =0
(x-4)(x+12)=0
That is x= 4 or -12.
<h3>If x=4 , y= 4+ 8 = 12</h3>
<h3>If x= -12, y= -12+8 = -4 </h3>
Hence two positive numbers corresponding to given conditions are 4,12.
And two negative numbers corresponding to given conditions are -12,-4.
Step-by-step explanation:
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Answer:
x<5
Open circle at 5 going to the left
x >1
Open circle at 1 going to the right
Step-by-step explanation:
7x -19 < 16
Add 19 to each side
7x -19 +19< 16+19
7x< 35
Divide by 7
7x/7 < 35/7
x<5
Open circle at 5 going to the left
9+3x>12
Subtract 9 from each side
9-9 +3x >12-9
3x >3
3x/3 >3/3
x >1
Open circle at 1 going to the right
Answer:
Scale= 3 x=9 y=15
Step-by-step explanation: