50 points, basic math, about areas
Can somebody please give me the answers to these?

1. 70.

2. 29.

3. 442.5

4. 289.

5.  632.

Step-by-step explanation:

The key to doing these is to split the polygons into  rectangles, triangles or trapezoids as appropriate.

For example, number 1 consists of a rectangle area 8 * 8 and another of   3* 2.

So the area = 64 + 6 = 70 unit^2.

2.  The area = sum of 3 rectangles 1*1 + 4*6 + 2*2.

3. Area = 11*15 + 11*15 + 1/2*15*15

4.  Area = 18*12 + 1/2 * 6 * 15 + 1/2 * 7 * 8.

5. Area = area of 2 rectangles + area of a trapezoid.

=  18 * 24 + 4*10 + 1/2(12 + 20) * 10.

1. 70 units²

2. 23 units²

3. 442.5 units²

4. 289 units²

5. 632 units²

Step-by-step explanation:

1. (8×8) + (3×2) = 64 + 6 = 70

2. (6×3) + (1×1) + (2×2) = 18 + 1 + 4 = 23

3. (11×15) + (11×15) + ½(15×15)

165 + 165 × 112.5 = 442.5

4. ½(6×15) + ½(7×8) + (18×12)

45 + 28 + 216 = 289

5. (28×24) - ½(10×8)

672 - 40 = 632

what does x eaqual

step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.