Let A be an n×n n times n real matrix with the property that AT=A. eh to the t , equals eh . Show that if Ax=λx eh x equals lamda x for some nonzero vector x in Cn, blackboard bold cap c to the n , comma then, in fact, λ lamda is real and the real part of x is an eigenvector of A. [Hint: Compute x¯¯TAx, x bar to the t eh x comma and use Exercise 23. Also, examine the real and imaginary parts of A x.]

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.