Answer:
-4(8x-4)+3x = -29x+16
Step-by-step explanation:
1. Simplify -4(8x-4) by using the distribution property:
<u>-4(8x) = -32x and -4(-4) = 16 so -4(8x-4) = -32x+16</u>
2. Add 3x to the remaining equation:
<u>-32x+16+3x = -29x+16 </u>
3. The answer is:
<u> -29x+16 </u>
Yes all the water will fit and more because to find a volume of an object you multiple the height x length x width and in this case when all of it is calculated the base could hold 800 cm3 of water
Answer:
b. 3
Step-by-step explanation:
In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].
30°-60°-90° Triangles
x√3 → long side
x → short side
2x → hypotenuse
45°-45°-90° Triangles
x → two legs
x√2 → hypotenuse
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22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4
Yes, 10 squared+ 24 squared+ 26 squared