Answer:
Part A:
(2x+7)(5x+9)
=(2x+7)(5x+9)
=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)
=10x2+18x+35x+63
=10x2+53x+63
A)
The formula for determining the area of a rectangle is given as
Area = length × width
Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is
(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18
Area = 10x² + 36x + 18
B)
The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.
C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.
Step-by-step explanation:
Answer:

Step-by-step explanation:
The problem is:
<em>Lola says: Argos, my dog, has 10 kilograms less than Roco. How much kilograms Argos has?</em>
<em />
This problem is about algebraic language. We just need to express the ordinaty language into an equation.
We know the words less means difference. So, let's call
Argos' weight and
Roco's weight. We can expresse the given problem as

Notice that we applied a difference due to the word "less" in the problem.
Therefore, Argo's weight is given by the expression

The first thing you need to do is add and then subtract
Y = e^tanx - 2
To find at which point it crosses x axis we state that y= 0
e^tanx - 2 = 0
e^tanx = 2
tanx = ln 2
tanx = 0.69314
x = 0.6061
to find slope at that point first we need to find first derivative of funtion y.
y' = (e^tanx)*1/cos^2(x)
now we express x = 0.6061 in y' and we get:
y' = k = 2,9599