By definition, the unit vector of v = (a,b) is
Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
(3,5)/√[3² + 5²]
= (3,5)/√34
The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65
Answer:
The unit vector of v₁ in the direction of |v₁} is
The unit vector of v₂ in the directin of |v₂| is
Answer:
8cm
Step-by-step explanation:
x is similar to the side 12cm.
We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.
Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.
Find the scale factor:
Triangle 1/Triangle 2
Divide two similar sides.
6/9 = 2/3
Multiply the scale factor by the similar side to find x.
x = 12*(2/3)
x = 8
Answer:
(-3,-11)
Step-by-step explanation:
Compare the given quadratic equation with the general quadratic equation.
a=1, b=6 and c=-2
Subsitute 
for 
in given quadratic equation.
The minimum point is (-3,-11).
The function A(x) = 2x²-3x-2 represents the area of the garden.
Step-by-step explanation:
Given,
Length of rectangular garden is given by;
L(x) = 2x+1
Width of rectangular garden is given by;
W(x) = x-2
Area of rectangular garden;
A(x) = L(x) * W(x)
The function A(x) = 2x²-3x-2 represents the area of the garden.
Keywords: Area, rectangle
Learn more about area at:
#LearnwithBrainly
The plane's airspeed is 140:)
