Answer:
Slope(m)=3
Y-intercept= 0
y = 3x +0
Proportional
Step-by-step explanation:
m = -6--12/-2--4
m=6/2
m=3
-12 = 3(-4) + b
-12 = -12 + b
0=b
Answer:
slope: 
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>
Answer:
Step-by-step explanation:
Please find the attachment.
Let us divide our given image in several parts and then we will find area of different parts.
First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.
Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.
Let us find the area of green triangle.
Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.
Let us add all these areas to find the area of our figure.
Therefore, area of our given figure is 54 square units.
