<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
Answer:
p = 100(J/K - 1)
Step-by-step explanation:
When we want to make a variable the subject of an equation, we want to get that variable by itself on one side of the equation - to unwrap it from all the operations attached to it.
Here's what the process looks like for p:
Answer:
Yes, they are congruent
Step-by-step explanation:
They are congruent because they both have same length sides
Since
is representing the number of gallons of water in the tub, we need to replace
with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for
to find the time:
We can conclude that after
3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>
Answer:
6y/8+12-12=84-12
6y/8=72
8/6*6y/8=72*8/6
y=96
Step-by-step explanation:
first u get rid of the 12 by subtracting it from both side until u get 6y/8 =72. Then to isolate y u have to multiply the reciprocal of 6/8(8/6) by 6y/8, and u do the same thing to the other side. Then when they cancel out each other y would be left to equal 96.
