Answer:
(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal
Step-by-step explanation:
a and b are parallel is a=kb
a and b if a dot b = 0
(a) a dot b = (9)(-4)+6(6)=-36+36=0
a and b are orthogonal
(b) a dot b = 40-7-21=12
a=kb -> there is no k value satisfying the equation
a and b are neither parallel or orthogonal
(c) a dot b = -12-108-48=-168
a=kb -> k=-3/4 satisfies the equation
a and b are parallel
(d) a dot b= 9-3-6=0
a and b are orthogonal
Answer:
5 x + 3 = 23
Step-by-step explanation:
Answer:
44 in²
Step-by-step explanation:
The figure is composed of a triangle, a rectangle and a trapezium.
Area of the triangle =
bh =
× 3 × 4 = 6 in²
Area of the rectangle = lb = 10 × 3 = 30 in²
Area of trapezium =
h (a + b)
where h is the height and a, b the parallel bases, thus
area of trapezium =
× 2 × (5 + 3) = 1 × 8 = 8 in²
Total area = 6 in² + 30 in² + 8 in² = 44 in²