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nikdorinn [45]
3 years ago
9

Solve (x² - 16)(x² - 9) = 0

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

x=-4,4,-3,3

Step-by-step explanation:

<u>Factor</u><u> </u><u>by</u><u> </u><u>the</u><u> </u><u>difference</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>squares</u>

{x}^{2}  -  {y}^{2}  = (x + y)(x - y)

{x}^{2}  - 16 = (x + 4)(x - 4) \\  {x}^{2}  - 9 = (x + 3)( x - 3)

(x + 4)(x - 4)(x + 3)(x - 3) = 0

Therefore, our answer is x = -4,4,-3,3

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The radius of Circle A is 6 mm. The radius of Circle B is 4 mm greater than the radius of Circle A. The radius of Circle C is 2
labwork [276]

Answer:

Area of circle A =113.14 mm²

Area of circle b = 314.29 mm²

Area of circle C = 452.57 mm²

Area of circle A = 254.57 mm²

2.25 times

Step-by-step explanation:

Area of a circle = nr²

where n = 22/7

r = radius

Circle A's radius = 6mm

Circle B's radius = 6mm + 4mm = 10mm

Circle C's radius = 10mm + 2mm = 12mm

Circle D's radius = 12mm - 3mm = 9mm

Area of circle A = (22/7) x 6² = 113.14 mm²

Area of circle b = (22/7) x 10² = 314.29 mm²

Area of circle C = (22/7) x 12² = 452.57 mm²

Area of circle A = (22/7) x 9² = 254.57 mm²

Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A

254.57 mm² / 113.14 mm² = 2.25 times

4 0
3 years ago
Suppose you and your 4 friends (5 people) are dressing up as the 6 main characters of the first Avengers movie: Iron Man, Hulk,
Dennis_Churaev [7]

Answer:

720

Step-by-step explanation:

If every person has to choose a different character, the first person to choose a character has 6 options, the second has 5, the third has 4, the fourth has 3, and the last person has only two options. Therefore, the total number of ways you can do this if all 5 people dress up as a different character is:

n=6*5*4*3*2\\n=720

There are 720 ways.

5 0
3 years ago
In the parallelogram below, z = ?°
katrin [286]

Answer:

z is 111 degrees

Step-by-step explanation:

69 ° and z is a linear pair, therefore:

69 + z = 180

z = 180 - 69

z= 111

7 0
2 years ago
Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.
Travka [436]

Answer:

w=59 y=59 z=53 x=121 v=121

Step-by-step explanation:

inside a triangle the angles should add up to 180 so you can easily do 180-31 -90 to find w then with that you can find the rest and also w is equal to y cause theyre vertical angles

6 0
2 years ago
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Answer:

Percent means per- amount

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Step-by-step explanation:

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