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SashulF [63]
2 years ago
15

Solve by factoring: 1) x² + 6x + 8 = 0

Mathematics
2 answers:
frez [133]2 years ago
5 0

Answer:

(x+4)(x+2)

Step-by-step explanation:

factorrrrrrrrrrd

Serhud [2]2 years ago
3 0

Answer:

x=-4  x=-2

Step-by-step explanation:

x² + 6x + 8 = 0

x² +2x+4x + 8 = 0

x(x+2)+4(x+2)=0

(x+4)(x+2)

x=-4  x=-2

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Three listening stations located at (3300, 0), (3300, 1100), and (-3300, 0) monitor an explosion. The last two stations detect t
erastovalidia [21]

Answer:

The coordinates of the explosion is (3300, -2750)

Step-by-step explanation:

I have plot the points and attached to thus answer for easy understanding.

Now, from the question, since station A is the first to hear the explosion, we'll make it the foci of the parabola in the graph I attached and it will be horizontal since the distance between station C and A is much more than that between station B and A. Thus, the reason why station C will have to be the other foci with the hyperbola centred at the origin.

Now, sound travels at a speed of 1100 ft/s and station B is located 1100 ft from station A. Thus, the explosion would likely have occurred at a point on the line x = 3300ft . Since station A is 3300ft from centre C = 3300,hence C² = 3300² = 10,890,000. Since it takes 4 seconds longer for the sound to reach station C than A, the sound has traveled 4(1100)= 4400 ft.

Thus, 4400 = d1 = d2 = 2a

So,2a = 4400 and so, a =2200

a² = 2200² = 4,840,000 where d1 is the distance from station C to the explosion and d2 is the distance from station A to the explosion. To find b², let's use the equation ;

c² = a² + b² and so; b² = c² - a² = 10,890,000 - 4,840,000 = 6,050,000

Equation of hyperbola is given as;

(x²/a²) - (y²/b²) = 1

Plugging in the values of a² and b², we obtain ;

(x²/4,840,000) - (y²/6,050,000) = 1

Since we have deduced that the explosion must occur on the line x= 3300, we'll put in 3300 for x to obtain ;

(3300²/4,840,000) - (y²/6,050,000) = 1

2.25 - 1 = (y²/6,050,000)

y² = (1.25 x 6,050,000)

y² = 7562500

y = √7562500

y = ± 2750

Due to the fact that the explosion will occur at a point further from station B than from station A, the explosion will take place in quadrant 4. Thus, we will take the negative value of y which is - 2750.

So explosion will occur at the coordinate (3300, -2750)

7 0
3 years ago
Pat shows that 16 1/2= the square root of 16. What is one possible way pat could have shown this correctly?
kifflom [539]
<h3>Answer: Choice C</h3>

The base 16 is the same as 4*4.

From there, the rule (a*b)^c = a^c*b^c is used to get (4*4)^{1/2} = 4^{1/2}*4^{1/2}

Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is a^b*a^c = a^{b+c} which only works if the bases are both the same.

6 0
3 years ago
I need to solve and show work for 3x over4 divided by 5-1 over 8
likoan [24]
3or4vxe
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Is the answer 
5 0
3 years ago
Read 2 more answers
What is the standard form of the following equation?
scZoUnD [109]

y = 2(x - 1)² + 4

y = 2(x² - 2x + 1) + 4

y = 2x² - 4x + 2 + 4

y = 2x² - 4x + 6

7 0
2 years ago
What is the domain of the following list of ordered pairs (-4,-2) (3,5,(0,4)
Harman [31]
-4,3,and 0
the domain is the x values
hope this helps
3 0
3 years ago
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