Answer:
The 2 numbers are 22 and 23
Step-by-step explanation:
let the two numbers be x and x+1
according to the question:
(x+1)^2 - x^2 = 45
x^2+1+2x - x^2 = 45
2x + 1 = 45
2x= 44
x = 22
the other number is x+1 = 22+1 = 23
therefore, the two consecutive numbers are 22 and 23
Hope it helped u....
The option that's true regarding the sum and difference of the polynomial p(x) and b is B. The sum and difference of p(x) and b are polynomials.
<h3>How to illustrate the information?</h3>
From the information given, it was stated that p(x) is a polynomial and is given as p(=) = a₁ + a₁ + a₂=² + ... + an.
In this case, it should be noted that the sum and difference of p(x) and b are polynomials.
They can't be integers as the function given is represented as a polynomial.
In conclusion, the correct option is B.
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Answer:
y = 3x + 40
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (- 12, 4 ) into the partial equation
4 = - 36 + c ⇒ c = 4 + 36 = 40
y = 3x + 40 ← equation of line
Answer: Option A and Option D
Step-by-step explanation:
By definition the general equation of a circle has the following form

Where r is the radius and the point (h, k) is the center of the circle
All points that are on the x axis have the following form:
(h, 0)
Therefore all the circles that have their centers on the x axis will have a value of k = 0.
Identify among the options all those equations that have a value of k = 0
The circles that have their center on the x axis are option A and option D
Notice that in the statement of the exercise are the values of a, b and c. Then, to evaluate the given expression, we replace the given values of a, b, and c. So, we have:

Therefore, the result of evaluating the given expression when a = 9, b = 3, and c = 7.4 is 1.4.