Answer:
(0,-6)
Step-by-step explanation:
3x-4y=24
To find the y intercept, let x =0 and solve for y
3(0) -4y =24
-4y =24
Divide by -4
-4y/-4 = 24/-4
y = -6
The y intercept is
(0,-6)
Answer:
3.25
Step-by-step explanation:
1+3+8+3+1+5+2+3= 26
26/8 = 3.25
The conjugate of any pair is just the same pair with a different sign in the middle.
a + b conjugate a - b
a - b conjugate a + b
-z - w conjugate -z + w
and so on.
Rate of change is also another name for the slope so in this case, the question is asking you for the slope.
How can we find the slope?
The formula for slope is y2-y1/x2-x1
Now let's plug in for the year 1980 and 1990.
239-120/1990-1980
= 119/10
Slope is 119/10.
<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>
