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3 years ago

write an even number that has a 7 in the hundreds place , has an odd number in the thousands place and is multiple of 10

1 answer:

7 0

Even numbers end with 0,2,4,6,8

7 in hundreds place

odd in thousands place, odd numbers are 1,3,5,7,9

multiplue of 10 end with 0

so therfor the number has 7 in hundreds place and ends with 0 with odd in thousands and undefined hundreds place

50 options

some examples are
1730
9790

any number, x7y0 such that x is odd and y can be any number

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Which value is needed in the expression below to create a perfect square trinomial?

Klio2033 [76]

Answer:

The value which is needed to be added to transform the quadratic expression $x^{2}+8x$ as a perfect square trinomial is 16.

Step-by-step explanation:

A quadratic expression is an expression in which the highest power of the variable is 2 or it can be said that the degree of the expression is 2.

The identity for $(a+b)^{2}$ is given as follows:

$(a+b)^{2}=a^{2}+b^{2}+2\times(a)\times(b)$

Step 1:

Break down the given polynomial $x^{2}+2\times(x)\times(4)$ .

Step 2:

Now compare the polynomial with the above indentity.

On comparing it is observed that the value of a is x and the value of b is 4.

Step 3: 

In order to make the polynomial $x^{2}+8x+$ a perfect square, add $16$ to the broked down polynomial because on comparing the above polynomials the value of b is 4 and the square of 4 is 16.

$x^{2}+2\times(x)\times4+16$

Step 4:

Now as per the identity $(a+b)^{2}=a^{2}+2\times(a)\times(b)+b^{2}$ the polynomial $x^{2}+2\times(x)\times4+16$ is written as follows:

$(x+4)^{2}$ .

Therefore, the perfect square for the given polynomial is $(x+4)^{2}$ which is created by adding 16 to the given expression.

Learn more:

A problem to obtain the y-intercept of a quadratic function brainly.com/question/1332667
A problem to obtain the binomial and trinomial brainly.com/question/1394854

Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Quadratic expression

Keywords: Quadratic, quadratic expression, polynomial, quadratic polynomial, perfect square, trinomial, degree, highest power, transform, identities, break down, perfect square, middle term split, x^2+8x,methamatics, algebra.

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