3 years ago

Show work plz for I can understand

Mathematics

1 answer:

Lilit [14]3 years ago

6 0

Answer:

c = - 2

Step-by-step explanation:

Since (z - 3) is a factor of p(z) then z = 3 is a root and p(3) = 0

p(3) = 3³ + 9c - 4(3) + 3 = 0, hence

27 + 9c - 12 + 3 = 0 ⇒ 9c = - 18 ⇒ c = - 2

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3 years ago

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Find the area of the following shape. You must show all work to receive credit

kirza4 [7]

Answer:

42 square units

Step-by-step explanation:

Draw segments - 5 to A, A to the point of intersection of Band C and from from the point of intersection of B, C upto 2. It will form a square with each side 8 units and four triangles.

Subtracting the area of 4 four triangles from the area of the square will give you the area of the required shape.

Area of the shape

$= {8}^{2} - \frac{1}{2} \times 3 \times 6 - \frac{1}{2} \times 5 \times 2 - \frac{1}{2} \times 2 \times 3\\ - \frac{1}{2} \times 2 \times 5 \\ \\ = 64 - 3 \times 3 - 5 \times 1 - 1\times 3 - 1 \times 5 \\ \\ = 64 - 9 - 5 - 3 - 5 \\ \\ = 64 - 22 \\ = 42 \: {units}^{2}$