Answer:
Step-by-step explanation:
Simplify the expression
x - (12 – 5x) =
x - 12 + 5x =
6x - 12
6x-12
hope this helps
subtract the midpoint numbers from endpoint b
x coordinate: 3- -1 = 4
y coordinate: -5 -2 =-7
now subtract the x number from the midpoint and add the y number to the midpoint
-1 -4 = -5
2- - 7 =9
missing endpoint is (-5,9)
<em>(</em><em>2</em><em>2</em><em>/</em><em>7</em><em>)</em><em>²</em>
<em>5</em><em>7</em><em>6</em><em>/</em><em>4</em><em>9</em>
<em>is</em><em> </em><em>your</em><em> </em><em>answer</em><em> </em><em>hope</em><em> </em><em>it</em><em>'s</em><em> help</em><em> u</em>
Equation of Sphere = + + - 18x - 4/3y +10z + 142/3 = 0
Data Given:
P = (x,y,z)
Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)
Solution:
Find the equation of the sphere:
It is given that:
PA = 2PB
Squaring both sides:
+ + = 4 x + +
Solving the above equation:
+ + = 4 x { + + }
+ 9 + 6x + + 36 - 12y + + 9 - 6z = 4 { + 36 - 12x + + 4 - 4y + + 9 + 6z}
+ 9 + 6x + + 36 - 12y + + 9 - 6z = 4 + 144 - 48x +4 + 16 - 16y + 4 + 36 + 24z
Putting the right hand side = 0 and solving the equation:
- 4 + - 4 + - 4 + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0
-3 - 3 -3 + 54x + 4y -30z -142 = 0
Taking (-) common
- ( 3 + 3 + 3 - 54x - 4y +30z + 142) = 0
3 + 3 + 3 - 54x - 4y +30z + 142 = 0
dividing the whole equation by 3
+ + - 54/3x - 4/3y +30/3z + 142/3 = 0
+ + - 18x - 4/3y +10z + 142/3 = 0
Answer: x = 20
Right angle = 90
90 - 47 = 43
43 - 3 = 40
40/2 = 20