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klio [65]
3 years ago
6

Use the grouping method to factor this polynomial.

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Given

x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )

= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term

= (x² + 3)(x + 3) → C

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Breanna wrote a number that is 4 units from 0 on the number line.
Hatshy [7]
The two answers are -4 and 4, because 0-4 is -4 and 0+4 is 4. Hope this helps
5 0
3 years ago
Suppose r(140°, P)(A) = B and (RPD←→∘RPC←→)(A) = B, what is m∠CPD?
NISA [10]

An angle bisector divides an angle into two equal halves.

The measure of angle \angle CPD is 70 degrees

The complete question is an illustrates the concept of angle bisector;

Where:

\angle RPD = 140^o, and line PC bisects \angle RPD

Because line PC bisects \angle RPD, then it means that the measure of RPD is twice the measure of CPD:

So, we have:

\angle RDP = 2 \times \angle CPD

Substitute \angle RPD = 140^o

140^o = 2 \times \angle CPD

Divide both sides by 2

70^o = \angle CPD

Apply symmetric property of equality:

\angle CPD = 70^o

Hence, the measure of angle \angle CPD is 70 degrees

Read more about angle bisectors at:

brainly.com/question/12896755

5 0
2 years ago
Help please :) <br> V74 <br> V74
Lelechka [254]

Answer:

x =10

Step-by-step explanation:

Using the pythagoras theorem om one of the right triangle;

(√74)² = (x/2)²+7²

74 = (x/2)²+49

(x/2)² = 74 - 49

(x/2)² = 25

Square root both sides

√ (x/2)² = ±√25

x/2 = ±5

x = 2 * ±5

x = ±10

Hence the value of x is 10

8 0
3 years ago
Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The boat rental costs $1.50 for every 15 minutes.
dem82 [27]

Answer:they would pay a total amount of $9

Step-by-step explanation:

Scott and Tom rent a boat at Stow Lake. They start at 10:15 and end at 11:45. The number of hours for which they rented the boat would be

11:45 - 10:15 = 1 hour 30 minutes = 1.5 hours.

Converting to minutes, It becomes

60 + 30 = 90 minutes.

The boat rental costs $1.50 for every 15 minutes. Therefore, the total amount of money that they would pay is

90/15 × 1.5 = $9

8 0
2 years ago
Find the volume of this sphere.
Sholpan [36]
<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

  • π = 3
  • r = 2 ft²

To find the volume we apply the following formula:

  • \boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2}  }}, where
  • v = volume
  • π  = pi
  • r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3}  }}

Calculate exponent cubed

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3}  }}

Multiplying

  • \boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}

Therefore, the volume of the sphere is 32 ft³.

8 0
2 years ago
Read 2 more answers
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