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jenyasd209 [6]
1 year ago
13

Factor P completely P(x) = x^4− 16

Mathematics
1 answer:
fiasKO [112]1 year ago
5 0

The factors of p(x) = x^{4} -16 are (x^{2} -4) (x^{2} +4).

According to the question,

We have the following information:

p(x) = x^{4} -16

Now, we can solve this expression by using the identity. Now, the identity to be used here is a^{2} - b^{2} = (a-b) (a+b).

(More to know: there are many identities which can be used to find the factors of an expression. There ae different ways to find the factors of an expression.)

In this case, the value of a is x^{2} and the value of b is 4.

We can convert this fraction into this identity:

(x^{2})^{2}  -4^{2}

So, we have the following expression:

(x^{2} -4) (x^{2} +4)

Hence, the factors of the given expression are (x^{2} -4) (x^{2} +4).

To know more about factors here

brainly.com/question/24182713

#SPJ1

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F(x) = 2x-(x+6) for f(-3)
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The radius of a circle is 6mm. What is the area of the shaded portion of the circle.
mariarad [96]

Answer:

b) 29π mm²

Step-by-step explanation:

\frac{360}{360}  - \frac{70}{360}  =  \frac{290}{360}  \\  \\\pi \:  {r}^{2} \\  =    \frac{290}{360}  \times \pi\times 6 \times 6 \\  =  29 \: \pi  \: {mm}^{2}

6 0
3 years ago
ABCD is a rectangle that represents a park. The lines show all the paths in the park. The circular path is in the center of the
djyliett [7]

Complete Question:

ABCD Is a rectangle that represents a park.

The lines show all the paths in the park.

The circular path is in the centre of the rectangle and has a diameter of 15m.

Calculate the shortest distance from A to C across the park,using only the lines shown.

*See attachment for the diagram showing the paths in the park.

Answer:

Shortest distance from A to C through the paths only = 102.9 m

Step-by-step explanation:

Length of park = 80 m

Width of park = 50 m

Diameter of the circular path in the center of the park = 15 m

Therefore:

Shortest distance between from A to C across the park if we're to follow only the lines showing the oaths would be = (length of diagonal AC - diameter of the circular path) + (½ of the circumference of the circular path)

✔️Use pythagorean theorem to find AC:

AC = √(80² + 50²) =  √8,900

AC = 94.3398113 ≈ 94.34 m (nearest hundredth)

✔️Diameter of circular path = 15 m

✔️½ of the circumference of the circular path = ½(πd)

d = 15 m

½ of the circumference = ½(π*15) = 23.5619449 ≈ 23.56 m (nearest hundredth)

✔️Shortest distance = (94.34 - 15) + 23.56 = 79.34 + 23.56 = 102.9 m

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3 years ago
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