The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:
From here, we clear the value of x.
We have then:
Rewriting:
Answer:
the tree is 30 feet tall
5 and 6 are true but 7 is not true. If you divide an odd number by 2 it's not going to be half of it
Answer:
you subtract 1/4 from each side and get x+3 and 3/4
Answer:
We conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
Step-by-step explanation:
Given the equation
49x² - 28x + 4 = 0
comparing with the quadratic equation ax² + bx + c = 0 for x, where a ≠ 0,
here
a = 49, b = -28, c = 4
Determining the discriminant b²-4ac
b²-4ac = (-28)² - 4(49)(4)
= 784 - 784
= 0
It is clear that the discriminant b²-4ac is equal to zero.
i.e.
b²-4ac = 0
We know that if the discriminant b²-4ac = 0, then the quadratic equation has one real root.
Therefore, we conclude that 49x² - 28x + 4 = 0 has only one real root.
Thus, option B i.e. one real root is the correct option.
Jim is 19
let fathers age be x then mothers age = x - 5 and Jim's age is 
(x - 5)
Total their ages and equate to 100
x + x - 5 + (x - 5 ) = 100
multiply through by 2 to eliminate the fraction
2x + 2x - 10 + x - 5 = 200
5x - 15 = 200 ( add 15 to both sides )
5x = 215 ( divide both sides by 5 )
x = 43
father is 43 years, mother is 38 and Jim is 19
