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:
The measure of the third side is 
Step-by-step explanation:
we know that
Applying the law of cosines
where
C is the angle between side a and side b
we have
substitute
Suppose the company invests x of their surplus in the 5% rate (and thus 40000-x has 6.5%). Then we have that 5%*x+(40000-x)6.5%=6.25%*40000.
We have that solving this, 5%* x+40000*6.5%-6.5%*x =6.25%* 40000 Accumulating terms, 1.5%*x=0.25%*40000 x=40000/6= 6666.67$. We see that if we invest 6666.67$ at 5%, we get exactly the given rate. If we invest more, we obviously get less. Hence, we have that the company has to invest at 6.5% more than 40000-6666.67=33333.33$
Answer:
Step-by-step explanation:
the answer is A
Answer: At first I though O but you would be able to use A because you are able to make that 9 = to that 8
Step-by-step explanation:
