Answer:
-7, -8 , -9 and -10 are such four integers.
Step-by-step explanation:
Let the first integer = k
So, the next three consecutive integers are ( k+1), ((k + 1) + 1) and (((k + 1) + 1) +1)
or, k , (k +1), (k +2) and (k +3) are four consecutive integers.
Now, their sum is -34.
⇒k + (k +1) + (k +2) + (k +3) = -34
or, 4k + 6 = -34
or, 4k = - 34 - 6 = -40
⇒ k = -40/ 4 = -10
Hence, the first integer k = -10
The next integer = k + 1 = -10 + 1 = -9
Similarly next two integers are -8 and - 7.
So -7, -8 , -9 and -10 are such four integers.
Since 10 is a positive the opposite must be negative. Opposite integer of 10 is -10 ( negative 10).
Happy studying ^-^
<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>
