Answer:
Plug -1.8 into each x so the equation would become (-1.8)^2 - 3(-1.8)
Step-by-step explanation:
6^2+(24/6+3^2)
First, solve the powers.
6^2=6*6=36
3^2=3*3=9
Now substitute.
36+(24/6+9)
Solve the parentheses.
36+(4+9)
Then, solve.
36+4+9=49
Answer:
14x and 3 x
Step-by-step explanation:
14x and 3 x are like terms.
This is because they both have 'x'. (They can even be simplified)
Whereas unlike terms are terms which do not contain the same variable or numerical value. (They cannot be simplified with other terms than its like term)
Answer:
y=-1x-6
Step-by-step explanation:
y-y1=m(x-x1)
y-(-5)=-1(x-(-1)
y+5=-1(x+1)
y+5=-1x-1
y=-1x-5-1
y=-1x-6
Step-by-step explanation:
standard equation of sphere , (x-a)²+ (y-b)²+( z-c)² = r² where a.b.c are the centre of the sphere r is radius and x,y,z are the coordintes of the point on the surface of the sphere
(x-7)²+( y-1)²+(z-1)²=16
x²+49-14x+y²+1-2y+z²+1-2z=16
x²+y²+z²-14x-2y-2z+35=0
(b) same as above diameter = 8 ,radius = 4 and centre is given
(c) (x-1)²+(y-3)²+(z-2)² = r² it passes through (0,0,0)
(0-1)²+( 0-3)²+(0-2)²=r² ⇒ r =√14 now we have centre and radius same as above
(d) centre is mid point of the end points of diameter
(1+0/2)=x ,(2+2/2) =y (1+3/2) =z ⇒ (x,y,z) = (1/2,2,2) and
radius = distance between centre and any end points of the diameter
so radius = √(1/2-1)²+(2-2)²+(2-1)² = √5/2 now we can find the equation of the sphere
