Answer:
x + y - 5z = 52
Step-by-step explanation:
Given data:
Point on the plane (3,4,-9)
parallel to x + y -5z = 1
Finding the normal vector
(1 , 1 , -5)(x, y , z) = 1
the normal vector is (1 , 1 , -5)
<em>formula for finding equation the plane given the normal vector (a,b,c) and point (m,n,o) is as </em>
<em>a(x - m) + b(y - n) + c(z-o)=0</em>
Substituting the data we have
1(x-3) + 1( y- 4) - 5(z+9) =0
x-3 +y -4 -5z -45 = 0
x + y - 5z = 45 +4 +3
x + y - 5z = 52
Answer:
Answer: D
Step-by-step explanation:
I took the test and got it right i promise
20 dimes; 0 quarters= $2.00; 20 dimes; 1 quarter= $2.25 and so on
Answer:
3 : 2
Step-by-step explanation:
27 : 18 reduce the numbers = 3 : 2
The volume of the shape is 6 cubic units
<h3>How to determine the volume of the shape?</h3>
<u>Method 1</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Number of cubes * Volume of each cube
Substitute the known values in the above equation
Volume = 6 * 1
Evaluate
Volume = 6
<u>Method 2</u>
From the figure, we can see that:
- There are 6 cubes in the figure
- 2 cubes at the top and 4 at the bottom
- The dimensions of the cubes are equal
- The volume of each cube is 1 cubic unit
So, the volume of the shape is
Volume = Top cubes + Bottom cubes
This gives
Volume = 2 * Volume of each cube + 4 * Volume of each cube
Substitute the known values in the above equation
Volume = 2 * 1 + 4 * 1
Evaluate
Volume = 6
Hence, the volume of the shape is 6 cubic units
Read more about volumes at:
brainly.com/question/1972490
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