Express 3km 2m as a decimal of 1km.
1 answer:
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1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Answer:
<u><em>Question 10.</em></u>
Length of the side of the square =
By Pythagoras' Theorem,
Hypotenuse = (H > 0)
= 29 m
Ans: 29 m
<u><em>Question 11.</em></u>
By Pythagoras' Theorem,
Length of longer side of 42 km = 42- (L > 0)
= 32.050 km (5 s.f.)
By Pythagoras' Theorem,
Length of the unknown side = (L > 0)
= 35.4 km (3 s.f.)
Ans: 35 km
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