hello ....
the equation of a plane that is ; ax+by+cz +d =0
the vector perpendicular to this plane is : V(a,b,c)
in this exercice ; a = -4 b= -4 c = -1
then: the equation of a plane that is ; -4x-4y-z +d =0
but the plane passing through the point (−2,−5,5) :
-4(-2)-4(-5)-(5) +d =0
23+d =0
d =-23
the equation of a plane is : -4x-4y-z-23 =0
Answer:
That would be Option C.
Step-by-step explanation:
Lets look at y = 4x + 2:-
Let x = a then y = 4a + 2
Now if x in creases to a +2, y = 4(a +2) + 2 = 4a + 8 + 2
= 4a + 10.
(4a + 10) - (4a + 2) = 8 , so this is the required expression, y = 4x + 2.
Answer:
120 meters
Step-by-step explanation:
Bob's land is a rectangle, so it has 2 long and 2 short sides. The Long side is 40 meters long, and the short side is 20 meters long.
Let's add them: 40 + 20 = 60 meters
Since we have 2 of those sides, we will multiply it by 2 which we can demonstrate as
60 meters * 2 = 120 meters
Answer:
I need more info to help you out
Step-by-step explanation:
Given:
Composite figure made of cylinder and two spheres.
To find:
The volume of the composite solid.
Solution:
Radius = 2 in
The value of π = 3.14
<u>Volume of sphere:</u>
Volume of a sphere is 33.49 in³
Volume of two spheres = 2 × 33.49 = 66.98 in³
Radius of cylinder = 2 in
Height of cylinder = 8 - 2 - 2 = 4 in
<u>Volume of cylinder:</u>
V = 3.14 × 2² × 4
V = 50.24
Volume of cylinder = 50.24 in³
Volume of composite solid = Volume of two spheres + Volume of cylinder
= 66.98 in³ + 50.24 in³
= 117.2 in³
The volume of the composite solid is 117.2 in³.
