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2 years ago

What is the factored form of the expression 9x^2+24x+16?

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

4 0

This is the product of the square of a binomial expression. Therefore, it will have two factors.

Square of a binomial: a² + 2ab + b² = (a+b)²

The process:

9x² + 24x + 16

= (3x)² +2(3x)(4) + (4)²

= (3x + 4)² or (3x+4)(3x+4)

I hope this helps :)

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From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan

denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

$\theta=32.5\°$ is the the angle of elevation

$d=35.6 km$ is the horizontal distance between the plane and the radar station

$x$ is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is cosine:

$cos\theta=\frac{d}{x}$ because $d$ is the adjacent side of the right triangle

$cos(32.5\°)=\frac{35.6 km}{x}$

Finding $x$ :

$x=\frac{35.6 km}{cos(32.5\°)}$

$x=42.21 km$

4 0

3 years ago

A landscaper has 125 tiles to build a square patio. The patio must have an area of at least 80 square feet. what are three possi

erma4kov [3.2K]

11x11
10x10
9x9
That’s the answer I think

7 0

2 years ago

Given that y is directly proportional to x. If y = 30 and x= 5, write an equation that connects y with x.

Licemer1 [7]

Given:

y is directly proportional to x.

$y=30$ when $x=5$

To find:

The equation that connects y with x.

Solution:

It is given that, y is directly proportional to x. So,

$y\propto x$

$y=kx$ ...(i)

Where, k is the constant of proportionality.

We have, $y=30$ when $x=5$ . Substituting these values in (i), we get

$30=k(5)$

Divide both sides by 5.

$\dfrac{30}{5}=k$

$6=k$

Substituting $k=6$ in (i), we get

$y=6x$

Therefore, the required equation is $y=6x$ .

8 0

2 years ago

What is 5/9 +1/3 = I appreciate all answers!!

Allisa [31]

It is false or 8/9 is equal to 1

5 0

2 years ago

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TRUE or FALSE? 1.) If x = -3, then the value of 4x + 5 is 17.

Strike441 [17]

<h2>I think it's false</h2>

<h2>I hope it's helpfull for you</h2>

8 0

2 years ago

Read 2 more answers