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:
Some relationships:
Angle FGH + Angle FHG = 90
sin(FGH) = cos(FHG)
cos(FGH) = sin(FHG)
Answer:
Please look at the picture attached.
Step-by-step explanation:
Answer:
8.4 ?
Step-by-step explanation:
sorry if im wrong
Answer:
6 fingers
Step-by-step explanation:
Let X = the base of the numbers above
If X > 0
Then we have:
325 = 3 * X² + 2 * X¹ + 5 * X°
325 = 3X² + 2X + 5
42 = 4*X¹ + 2*X°
42 = 4X+ 2
And
411 = 4*X²+ 1*X¹ 1*X°
42 = 4X² + X + 1
Since 325 + 42= 11 then
3X² + 2X + 5 + 4X+ 2 = 4X² + X + 1 ------ Collect Like Terms
3X² - 4X² + 2X + 4X - X + 5 + 2 - 1 = 0
-X² + 5X + 6 = 0 ------- Multiply both sides by -1
X² - 5X - 6 = 0 ------- Factorise the Equation
X² - 6X + X - 6 = 0
X(X - 6) + 1( X - 6) = 0
(X + 1)(X - 6) = 0
X + 1 = 0 or X - 6 = 0
X = -1 or X = 6
But X>0
So, X =-1 is invalid
X = 6
The expected number of fingers of the Martian is 6
