Answer:
-8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2x+2+x=−22
(2x+x)+(2)=−22(Combine Like Terms)
3x+2=−22
3x+2=−22
Step 2: Subtract 2 from both sides.
3x+2−2=−22−2
3x=−24
Step 3: Divide both sides by 3.
3x
3
=
−24
3
x=−8
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The vertex form of the equation is
y = a(x-h)^2 +k where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x- -3)^2 -1
y = a(x+3)^2 -1
Pick another point (-2,0) and substitute it into the equation
0 = a(-2+3)^2 -1 to find a
0 =a(1)^2 -1
0 = a-1
1 = a
y = (x+3)^2 -1
Hello :) please refer to the pic below!
Answer:
40cm
Step-by-step explanation:
A=s*s
A=10*10
A=100 cm^2
P=4*s
P=4*10
P=40 cm
"s" represents side
