The correct answer is: [A]: " x = 6 " or " x = - 9 " .
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Explanation:
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Given the following equation:
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" x² + 3x – 54 = 0 " ; Solve for "x" ;
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Check if the part of the equation on the "left-hand side" can be "factored":
" x² + 3x – 54 " ;
→ We see the " + 3x " and the " – 54 "
Factors of " -54 " that add up to " +3" ;
Let us try: " -9, 6" ; → " -9 + 6 = -3 " ; → " -3 ≠ +3 ;
Let us try: " 9, -6" ; → " 9 + (-6) = 9 – 6 = 3 " ; YES!
→ {that is: " +9 , -6 "} ;
So, we can rewrite the entire equation:
→ " (x + 9)(x – 6) = 0 " ;
→ " x = -9 " ; or, " x = 6 " ; which is:
→ Answer choice: [A]: " x = 6 " or " x = - 9 " .
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Answer:
12.5664 units (rounded off to four decimal values)
Step-by-step explanation:
Arc length = 2 × π × r × 
For our partial circle;
The radius (r) = 8 units
The central angle = 90°
Arc length = 2 × π × 8 × 
= 12.5663706144 units
Or 12.5664 units (rounded off to four decimal values)
Answer:
m = 30
Step-by-step explanation:
(m/3) - 6 = 4
Add 6 to both sides
m/3 = 10
multiply both sides by 3
m = 30
I don’t know if this correct i haven’t done it in two years but i think the answer is 76 but i’m not 100% sure
Answer:
2 Gallons
Step-by-step explanation:
1 Gallon = 4 quarts
There are 8 quarts, and 8 divided by 4 is 2.
2 Gallons.
