Answer:
Step-by-step explanation:
Area of rectangle = Length × Width
The given rectangle has a length if x meters
The width of the triangle is (x-3) meters
The area of the rectangle is given as 10 square meters.
Area if rectangle = x(x-3) = 10
Multiplying each term in the parentheses,
x^2 -3x = 10
x^2 -3x -10 = 0
This is a quadratic equation
We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes
x^2 + 2x - 5x -10 = 0
x(x+2)-5(x+2) =0
( x + 2)(x-5) = 0
x = -2 or x = 5
The length of the rectangle cannot be negative so the length is 5 meters
Widith = x+3 = 5-3 = 2 meters
Answer:
B
Step-by-step explanation:
I think
I think
Answer:
The correct answer is 8
Step-by-step explanation:
It’s 8, because 5- (-3) is like saying 5+ 3, because in math when your dealing with negatives, 2 negitives means the answer is positive and 1 negative means the answer is negative. Hope this helps! :)
7.6*10^3+2.3*10^5=7600+230000= 237600.
There are 237600 people living in Brooklyn and Staten Island.
The remainder theorem lets you find the remainder when a polynomial is divided by a linear function like the above, without actually doing the division.
It states that when the polynomial f(x) is divided by x - a then the remainder is f(a)
Applying it to the items in your question x - a = x + 2 so -a = 2 and so a = -2 :-
f(-2) = 2(-2)^3 - 3(-2)^2 - 5(-2) + 23 = 5 so the remainder will be 5.
Note if the remainder had been 0 then x + 2 would have been a factor of f(x). This process can be used to find if x - a is a factor.