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Reptile [31]
2 years ago
8

Factor completely

Mathematics
2 answers:
boyakko [2]2 years ago
8 0

Answer:

hope this helps:))))))

Orlov [11]2 years ago
5 0

Answer:

(x-3)(x+3)(x+2)

Step-by-step explanation:

x^3 + 2x^2 - 9x -18

= x^2(x+2) - 9(x+2)

= (x^2 - 9) (x+2)

= (x+3)(x-3)(x+2)

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3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie
allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x  = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 53^\circ=\frac{150-x}{h}

\displaystyle \tan 48^\circ=\frac{x}{h}

From the last equation:

x=h.\tan 48^\circ

Substituting into the first equation:

\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}

Operating on the right side:

\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ

Rearranging:

\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}

Solving for h:

\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0
3 years ago
The answer is down below please help meeee
monitta

Answer:

TheaterMania, basically you are getting more popcorn for $1, thats how did it.

7 0
2 years ago
Read 2 more answers
Simplify the following expressions. All answers should be in standard form.
Ratling [72]

Answer:

The given expression in simplified form is: 15x^2+10x

Step-by-step explanation:

Simplifying the expression involve reducing the number of terms to minimum and making the expressions in standard form.

This may involve addition, subtraction and multiplication of variables.

Given expression is:

5x(3x+2)

Distributing 5x will give us:

= 5.3.x.x + 5.2.x\\=15x^2+10x

Hence,

The given expression in simplified form is: 15x^2+10x

6 0
3 years ago
Zoe used 3/8 of her ribbon to wrap a present. If she uses 9 feet of ribbon for the present how much ribbon did Zoe have it first
MArishka [77]

Let the total ribbon Zoe had was x feet.

Out of x feet, she used 3/8 part of it.

Hence, \frac{3x}{8}

3/8 part of the original ribbon is equal to 9 feet.

Hence, we get

\frac{3x}{8} = 9

=> Multiply 8 on both sides.

3x=72

Divide both sides by 3

\frac{3x}{3}=\frac{72}{3}

x=24 ft

Zoe had 24 feet of ribbon in starting... Answer

8 0
3 years ago
How do i solve this?
Ahat [919]
In terms of p, the answer is p= -q-3

8 0
3 years ago
Read 2 more answers
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