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Kruka [31]
3 years ago
8

Factor the expression. x2 + 8x+ 16 x² + 3x+ 16 =

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0

Answer: 17x^2 + 11x + 16

Step-by-step explanation:

The first term is,  17x^2  its coefficient is  17 .

The middle term is,  +11x  its coefficient is  11 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   17 • 16 = 272  

Step-2 : Find two factors of  272  whose sum equals the coefficient of the middle term, which is   11 .

     -272    +    -1    =    -273  

     -136    +    -2    =    -138  

     -68    +    -4    =    -72  

     -34    +    -8    =    -42  

     -17    +    -16    =    -33  

     -16    +    -17    =    -33  

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3 years ago
An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second
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Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

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