Sole The Equation 0.75q²=108 55 POINTS

1 answer:

5 0

Q= -12

Explain:
Basically we divide both sides by 0.75
Then expand 108 over 0.75 multiplying both by 100 so q cubed= 10800 over 75 when we divide 10800 with 75 we get q cubed=144 then we subtract 144 from each side consider q cubed - 144 rewrite it as q cubed minus 12 cubed the squares can be factored by a cubed and b cubed = ( a - b )(a+b)
So then it’s (q -12) (q+12) = 0 to find solution you gotta solve q - 12 = 0 and q+ 12=0

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Garrett is building a slide for his kids. If the ladder is 1 meter tall and he wants the bottom of the slide to be 4 meters from

TEA [102]

The slide needs to be 4.123 meters

Step-by-step explanation:

Length for the ladder- 1 mtr

Distance of the bottom of the slide from the ladder- 4 mtr

Length of the slide needed

We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)

For right-angled triangle we know from Pythagoras theorem-

Base² + altitude²= hypotenuse ²

Substituting the values of base as 4 mtr and altitude as 1 m

(Hypotenuse)²= 17

∴ Hypotenuse (slide length) =4.123 mtr

∴ Length of the slide needed= 4.123 meters