The possible values for the missing number that make the given expression the square of a binomial is; 81
<h3>Binomial Expression</h3>
We are given the expression;
x² + 18x
- Now, if we consider the binomial; x ± b
Squaring that gives us;
x² ± 2ax + b²
Comparing this expression to the one we are given we can say that;
±2ax = 18x
±a = 18/2
a = ±9
Thus,we will have;
(x + 9)² as our expression which is;
x² + 18x + 81
Therefore, the missing number is 81.
Read more on binomial expression at; brainly.com/question/14968861
Bru bru bru bru bru bru bru bru bru bru bru bru
The region of the spectrum that best corresponds to light with a wavelength equal to;
1) The diameter of a hydrogen atom is; X-ray
2) The width of your pinky finger; microwaves.
3) The size of a virus; X-ray and Ultraviolet rays.
<h3>Electromagnetic spectrum</h3>
- From online tables, the diameter of an hydrogen atom is approximately 1 × 10^(-10) m but according to electromagnetic spectrum, any wavelength between 10^(-8) m and 10^(-12) m is an x-ray.
- From online tables, width of your pinky finger is 1.06 × 10^(-2) m but according to the electromagnetic spectrum the range between 1 and 10^(-3) m corresponds to microwave.
- The size of a virus has the range from 2 × 10^(-9) m to 4 × 10^(-7) m. This Range falls into x-ray or ultraviolet rays.
The complete question is;
What region of the spectrum best corresponds to light with a wavelength equal to:
(1) the diameter of a hydrogen atom
(2) the width of your pinky finger
(3) the size of a virus
Choices:
(A) radio
(B) mircowave
(C) infrared
(D) visible light
(E) gamma ray
(F) x-ray
(G) ultraviolet
Read more about Wavelength at; brainly.com/question/24790737
(-2x^2 + x + 31) + (3x^2 + 7x -8) = ax^2+bx+c
Simplify the left side of the equation:
-2x^2 + 3x^2 + x + 7x + 31 -8 = x^2+8x+23
Now you'll see that 'a' will have to be 1 (since the coefficient for x^2 is 1)
'b' = 8 (coefficient for x)
'c' = 23 (the constant in the equation)
Add them up!
1+8+23= 32
Hope this helps!
