Magnitude of vector V =√(3²+7²) = √58
Hence: U= -3/√58 - 7/√58
OR multiply numerator and denominator by √58
U = - (3√58)/58 i - (7√58)/58 j
3x^2- 27 … you divide the whole thing by 3 to get x^2- 9 and that’s the furthest you can simplify
Answer:

Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b

b = -5
Now use the above slope and y intercept to create equation of a line:

Answer:
10 cm
Step-by-step explanation:
From the diagram,
Applying,
lw = 5/2(bh)..................... Equation 1
Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.
make w the subject of the equation
w = 5(bh)/2l............... Equation 2
From the diagram,
Given: l = 12 cm, b = 6 cm, h = 8 cm
Substitute into equation 2
w = 5(6×8)/(2×12)
w = 10 cm
Hence the width of the rectangle is 10 cm