Answer:
Step-by-step explanation:
general slope intercept equation of a straight line is given as
where m is slope and b is y-intercept
here
and
Answer:
I have no idea
Step-by-step explanation:
<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>
Exercise regularly.
Do not smoke or use tobacco products.
Get plenty of rest.
Eat a balanced diet.
Answer:
E. 18 children are buying their lunches
F. Rock must pay $50 each month
Step-by-step explanation:
E.
To find a percentage you multiply the number by the percentage;
60 x 70%(0.70) = 42 children brought their lunches
But we need the amount <u>buying</u> their lunches so we would subtract 60 by 42;
60 - 42 = 18 buying their lunches
F.
Again, to find the percentage we multiply it by the original;
$800 x $25(0.25) = $200 Rock paid for the down payment on the sofa
Now we need to find how much Rock still needs to pay for the sofa;
$800 - $200 = $600 more needed to pay for the sofa
Lastly, we must find how much Rock will need to pay <u>each month</u> to pay the rest of the $600. There are 12 months in a year, so we divide that by the amount left;
$600 / 12 = $50 needs to be paid each month for a year
