Answer:
(4,1) (2,-1) (-1,-4)
Step-by-step explanation:
Answer:
x = -0.8 and 10.8
Step-by-step explanation:
Given the equation x2 – 10x – 8= 0
Using the general formula
x = -b±√b²-4ac/2a
x = -(-10)±√(-10)²-4(1)(-8)/2(1)
x = 10±√100+32/2
x =10±√132/2
x = 10±11.489/2
x = 10-11.489/2 and 10+11.489/2
x = -1.489/2 and 21.489/2
x = -0.8 and 10.8
Answer:
s = 36b
Step-by-step explanation:
252/7 = 36, so maximum of 36 students can fit in one bus. The equation is s = 36b.
Answer:
Step-by-step explanation:
Integer factors of 117 include ...
... 117 = 1×117 = 3×39 ≈ 9×13
The last factor pair is two factors that differ by 4. We can take these to be the dimensions of the rectangle.
_____
If you want to write an equation for width (w), it might be ...
... w(w+4) = 117
... w² +4w -117 = 0
The factorization problem for this quadratic is the problem of finding two factors of 117 that differ by 4. That is what we have done, above.
If you want to solve this by completing the square, you can to this:
... w² +4w = 117
... w² +4w +4 = 121 . . . . . add 4 = (4/2)² to complete the square
... (w+2)² = 121
... w + 2 = ±√121 = ±11 . . . . take the square root
... w = -2 ± 11 . . . . . we're only interested in the positive solution
... w = 9, then w+4 = 13 and the dimensions are 9 cm by 13 cm.
Answer:
yes indeed it's 4 because I solved it on a piece of paper it was pretty easy honestly
