Answer:
(y - 2)²
Step-by-step explanation:
9y² - 12y + 4 ← is a perfect square of the form
(ax - b)² = a²x² - 2abx + b²
Compare like terms with 9y² - 12y + 4, thus
a² = 9 ⇒ a = 3
b² = 4 ⇒ b = 2 and
- 2ab = - 2 × 3 × 2 = - 12
Thus
9y² - 12y + 4 = (3y - 2)²
In order to graph the equation, you need some coordinates,
So, put x = 0,
2y = 6. y = 3. Coordinate = (0, 3)
Now, put y = 0,
-x = 6
x = -6 Coordinate (-6, 0)
In short, Just mark that two points and draw a line, graph is done
Hope this helps!
<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:
where is the pic?? i dont see it
Step-by-step explanation:
The equation of the line is 
<u>Step-by-step explanation:</u>
- The line passes through the point (2,-4).
- The line has the slope of 3/5.
To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.
<u>The equation of the line when a point and slope is given :</u>
⇒ 
where,
- m is the slope of the line.
- (x1,y1) is the point (2.-4) in which the line passes through.
Therefore, the equation of the line can be framed by,
⇒ 
⇒ 
Take the denominator 5 to the left side of the equation.
⇒ 
Now, multiply the number outside the bracket to each term inside the bracket.
⇒ 
⇒ 
Divide by 5 on both sides of the equation,
⇒
Therefore, the equation of the line is
