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3 years ago

Use the grouping method to factor this polynomial.

Mathematics

1 answer:

tankabanditka [31]3 years ago

5 0

Answer:

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