Answer:
26x + 15y + 35*z = -25
Step-by-step explanation:
Given the planes:
5x + 3y -5z = 0
-5x + 4y + 2z = 9
First we have to find the cross product of the normal vectors of these planes:
<5, 3, -5> x <-5, 4, 2> = <3*2 - 4*(-5), -[5*2 - (-5)*(-5)], 5*4 - (-5)*3> =
<26, 15, 35>
Then substitute these and the point (0, -4, 1) into the standard plane equation:
ax + by + cz = d
26*0 + 15*(-4) + 35*1 = d
-25 = d
Answer:
Step-by-step explanation:
To add two matrices you just need to add the corresponding entries together. In this case, we have that:
Then, we conclude that the sume of the two matrices is:
Answer: 3 in.
Step-by-step explanation:
Given
The base of the triangle is
The area of the triangle is
Solve mixed fraction
Base is
Area is
The area of the triangle is given by
Insert the values to get the height