1. m(4 + p) + p(3+ m) 2. 4r(3 + 4p) + 3p(8 -r)
3. (3 + 2h)(5 + 3h)
4. (3 + 4y)(5y - 1)
5. (2n - 3p)(3p - 2m)

Expand and simplify each of the following . Please give me the correct answer. Thanks

1. 4m + 2mp + 3p

2. 12r + 13pr + 24p

3. 6h^2 + 19h + 15

4. 20y^2 + 11y - 3

5. -9p^2 - 4mn + 6mp + 6np

Step-by-step explanation:

1. m(4 + p) + p(3+ m)

   4m + mp + 3p + mp

 4m + (mp + mp) + 3p

  4m + 2mp + 3p

2. 4r(3 + 4p) + 3p(8 -r)

  12r + 16pr + 24p + -3pr

  12r + (16pr - 3pr) + 24p

  12r + 13pr + 24p

3. (3 + 2h)(5 + 3h)

  3(5 + 3h) + 2h(5+3h)

  15 + 9h + 10h + 6h^2

  6h^2 + 19h + 15

4. (3 + 4y)(5y - 1)

  3(5y - 1) + 4y(5y - 1)

  15y - 3 + 20y^2 - 4y

  20y^2 + 11y - 3

5. (2n - 3p)(3p - 2m)

   2n(3p - 2m) + -3p(3p - 2m)

  6np - 4mn + -9p^2 + 6mp

  -9p^2 - 4mn + 6mp + 6np

Hope this helps!

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: