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3 years ago

What is the expression in factored form? x 2 + 14x + 48

Mathematics

1 answer:

Dahasolnce [82]3 years ago

3 0

<span>x</span>²<span> + 14x + 48 = x</span>² + 8x+6x + 48 = x(x+8) + 6(x+8) = (x+8)(x+6)

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Please help me with this.

vitfil [10]

Answer:

15.6 inches

Step-by-step explanation:

Here we want to find the length of the missing side

Mathematically, we can use Pythagoras’ theorem

The theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides

Let the missing side be x

18 is the side that faces right angle and this is the hypotenuse

Thus, we have ;

x^2 + 9^2 = 18^2

x^2 = 324 - 81

x^2 = 243

x = √(243)

x = 15.6 in

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3 years ago

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The

Yuliya22 [10]

Here is the answer: 3/4 (pi r^2 h)

5 0

3 years ago

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Un empresario contrata a 16 obreros para realizar un trabajo y a cada uno le paga 385 €. Si el empresario quiere ganar 892 €. ¿C

OverLord2011 [107]

Answer:

7052€

Step-by-step explanation:

Si el empresario quiere gana 892€, primero tiene que encontrar el valor total a pagar a los 16 obreros y sumarle a ese valor la ganancia que quiere obtener:

Valor total a pagar a los obreros: 385€*16= 6160€

Valor a cobrar por el trabajo: 6160+892= 7052€

De acuerdo con esto, si el empresario quiere ganar 892 €, debe cobrar 7052€ por el trabajo.

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3 years ago

Sonya expected to get $60 for her birthday ,but she only got $40.What was the percentage decrease of the amount Sonya recieved?

kow [346]

Are you asking about the percent of change?if so the answer is 33.3%.

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3 years ago

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