Answer:
Step-by-step explanation:
b) 1- scale factor from the first map to the second map:
= 1.33
2- landmark on the first map is a triangle with side lengths of 3 mm, 4 mm, and 5 mm.
Side lengths of the landmark on the second map
Divide the length by scale factor:
side lengths of 3 mm: = 2.25 mm
side lengths of 4 mm: = 3.007 mm
side lengths of 5 mm: = 3.75 mm
Step-by-step explanation:
The given quadratic equation:
Let α and β be the roots of the given quadratic equation.
α = 36
To find, the greatest possible value of the second root ( β) = ?
∴ The sum of the roots,
α + β =
⇒ 36 + β =
⇒ 5m = 36 + β ............. (1)
The product of the roots,
α.β =
⇒
⇒ ............. (2)
From equations (1) and (2), we get
⇒
⇒
⇒
⇒ β(β - 54) - 24(β - 54) = 0
⇒ (β - 54)(β - 24) = 0
⇒ β - 54 = 0 or, β - 24 = 0
⇒ β = 54 or, β = 24
∴ The greatest possible value of the second root, β = 54