How high is a tree that casts a 28-ft shadow at the same time that a 6-ft fence post casts a 8-ft shadow?
1 answer:
Answer: 21 feet.
Step-by-step explanation:
1. You know that the tree casts a 28 feet shadow and that a 6 feet fence post casts a 8 feet shadow, then, you can write the following proportion to solve this problem:
2. When you solve for the height ot tree (x), you obtain the following result:
3. Therefore, the height of the tree is 21 feet.
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Answer:
x = -3,
Step-by-step explanation:
The given quadratic equation is:
This can be written as:
To solve a quadratic equation of the form we use the formula:
Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:
We get two values of 'x', viz.,
x = and
⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x - ) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x - to see that this indeed is the given quadratic equation.
The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.
is an irrational number, it cannot be expressed in the form of a fraction.