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kotykmax [81]
2 years ago
7

Factor each polynomial 4z^2+4z-15

Mathematics
2 answers:
Mkey [24]2 years ago
7 0

Answer:

(2z + 5)(2z - 3)

Step-by-step explanation:

4z² + 4z - 15

4z² + 10z - 6z - 15

2z (2z + 5) - 3 (2z + 5)

(2z + 5)(2z - 3)

Tanya [424]2 years ago
6 0

Answer:

(2z+5) (2z-3)

Step-by-step explanation:

First, multiply the first coefficient by the third.

4*-15=-60

Then find factors of -60 that add up to the middle term.

The factors are: -6 and 10-------> -6*10=-60 and -6+10=4 so -6 and 10 are the correct factors.

Break up the middle term with the factors that you got above. The new equation will be: 4z^{2}-6z+10z-15

Factor by grouping.

First, break the equation into two

(4z^{2}-6z) (10z-15)

Then, factor out the greatest number you can

2z(2z-3) 5(2z-3)

You are then left with a common binomial of 2z-3. COmbine the common binomial into 1 and combine the 2 numbers you factored out in the step above (2z and 5) The final equation will be this:

(2z+5) (2z-3)

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Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A
Ghella [55]

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm

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2 years ago
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