Answer:
The answer is first option i.e
Step-by-step explanation:
Given:
1. angle ABC = angle GHJ
2. BC = HJ
3. angle BCA = angle HJG
Proof:
In ΔABC and ΔGHJ
Hence proved
9514 1404 393
Answer:
Step-by-step explanation:
If the square starts as n rows of n columns, adding another row of n columns will make a rectangle with dimensions n+1 rows by n columns.
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The total number of tiles in the rectangle is said to be ...
n(n+1) = 2256
n^2 +n +1/4 = 2256 1/4 . . . complete the square
(n +1/2)^2 = (47 1/2)^2 . . . . rewrite as squares
n = 47
<h2>
Hello!</h2>
The answer is:
The simplified form of the given polynomial is:
<h2>Why?</h2>
In order to simplify de given polynomial, we need to group the the like terms.
Remember, like the terms are terms that share the same variable and the same exponent.
For example:
We only operate with the variables that shares the same exponent.
Also, we need to remember the distributive property:
So, we are given the polynomial:
Simplifying we have:
Hence, the simplified form of the given polynomial is:
and it's a polynomial with a degree of 2.
Have a nice day!
The first three are the ones
The given equation is quadratic and nature of roots of quadratic equation are dependant on its discriminant. Writing the equation in standard form:
Finding the discriminant:
The roots of a quadratic equation are real and distinct if the value of its discriminant is greater than 0.
If we observe the value of discriminant, it is a sum of two terms in this case. The first term is square of (5h), which will always be a positive term or zero if h is zero. The second term is 24k. The value of 24k will always be positive for positive values of k.
Thus for positive values of k, the discriminant of given equation is always positive and thus we can say the root of given equation will always be real and distinct for positive values of k.