Answer:
49
Step-by-step explanation:
Positive 49 not -49
Question: What value of c will complete the square below () and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of .
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer:
-0.87 has the strongest linear relationship
Step-by-step explanation:
-0.87, since it is the closest value to either one or negative one,
0.8 is the second strongest
0.65 is the third strongest
-0.52 is the least strongest
Answer:
12 meter
Step-by-step explanation:
We know that ,
Area of rectangle = length × breadth
so,44m square = l × 3 2/3 m
or, 44m2 = length × 11/3
or ,( 44m2)/3 2/3m = length
finally, length = 12 meters
Answer:
By closure property of multiplication and addition of integers,
If is an integer
∴ is an integer
From which we have;
is an integer
Step-by-step explanation:
The given expression for the positive integer is x + x⁻¹
The given expression can be written as follows;
By finding the given expression raised to the power 3, sing Wolfram Alpha online, we we have;
By simplification of the cube of the given integer expressions, we have;
Therefore, we have;
By rearranging, we get;
Given that is an integer, from the closure property, the product of two integers is always an integer, we have;
is an integer and is also an integer
Similarly the sum of two integers is always an integer, we have;
is an integer
is an integer
From which we have;
is an integer.