Tommy, alice, and maria went to the winter festival. first, they visited santa’s workshop. the entrance fee for santa’s workshop was $10.50 per person. next, they went dog sledding. they each paid $12.00 for a ride. tommy rode it twice. then, tommy, alice , and maria purchased christmas cookies at $2.00 per pound. tommy bag of cookies weighed 4.5 lbs., alice bag of cookies weighed 5.2 lbs., and maria’s bag of cookies weighed 6.4 lbs. finally, they took a holiday picture with santa. the holiday picture with santa cost $3.50 per person. how much money did they spend in total at the winter festival? if they shared the cost equally, how much money did each person contribute to the total cost ?

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

i believe that the answer is

b. y-1=-2(x-4)

hope this !