Part A
Use the FOIL rule to expand out the expression below
(2x+7)(5x+9)
2x*5x + 2x*9 + 7*5x + 7*9
10x^2 + 18x + 35x + 63
10x^2 + 53x + 63 is the final answer for part A
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Part B
The degree is 2. This is a quadratic trinomial.
The degree is simply the largest exponent after expanding everything out. The degree directly determines the type of polynomial. Since the degree is 2, we have a quadratic. The polynomial is a trinomial because it has 3 terms.
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Part C
Imagine we had a machine in which we deposit 2 coins into it. One would happen on either side. After the coins are deposited, a third coin pops out. The 2 coins going in and the third coin coming out are the same currency. This represents an example of closure.
In mathematics, the idea of closure is taking any two objects of the same type, applying an operation on them, and getting the same type of object as the input.
For example, we could take two whole numbers and multiply them together. The result is always a whole number. The set of whole numbers is closed under multiplication because you can't leave the set (hence the gate is closed not letting anything out).
Similarly, taking any two polynomials and multiplying them together will always lead to some other polynomial. Part A shows this in action because (2x+7), (5x+9) and 10x^2 + 53x + 63 are all polynomials.
Answer:
14.4 km/h
Step-by-step explanation:
When finding km/h given m/s always multiply by 3.6
When finding m/s given km/h do the vice versa (divide by 3.6)
So.. 4km/h x 3.6 = <u>14.4 km/h </u>
Part A) The area of a parallelogram is base × height.
3 × 2/3 = 6/3 = 2
2 feet squared is the area of the whole parallelogram.
Part B) The diagonal of a parallelogram separates it into two congruent triangles.
The area of each triangle will be:
base × height × 1/2
3 × 2/3 × 1/2 = 6/6 = 1
1 foot squared is the area for each triangle.
First,, you would take the 56 two pointers the team made and multiply 56 by 2 to find out how many actual points the team made with just the 2 pointers
56 x 2 = 112
Then,, you will subtract 112 from 146 to see how many points are left
146 - 112 = 34
That shows that 112 of the points came from 2 pointers and 34 came from 3 pointers :)
