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Dimas [21]
3 years ago
5

The lengths of three sides of a quadrilateral are shown below:

Mathematics
1 answer:
sasho [114]3 years ago
7 0

Part A: To find the lengths of sides 1, 2, and 3, we need to add them together. We can do this by combining like terms (terms that have the same variables, or no variables).


(3y² + 2y − 6) + (3y − 7 + 4y²) + (−8 + 5y² + 4y)


We can now group them.


(3y² + 4y² + 5y²) + (2y + 3y + 4y) + (-6 - 7 - 8)


Now we simplify


12y² + 9y - 21


Part B: To find the length of the 4th side, we need to subtract the combined length of the 3 sides we know from the total length (perimeter).


(4y³ + 18y² + 16y − 26) - (12y² + 9y - 21)


Simplify, subtract like terms.


4y³ + (18y² - 12y²) + (16y - 9y) + (-26 + 21)


4y³ + 6y² + 7y - 5 is the length of the 4th side.


Part C (sorry for the bad explanation): A set of numbers is closed, or has closure, under a given operation if the result of the operation on any two numbers in the set is also in the set. For example, the set of real numbers is closed under addition, because adding any two real numbers results in another real number. Likewise, the real numbers are closed under subtraction, multiplication and division (by a nonzero real number), because performing these operations on two real numbers always yields another real number.

<em>Polynomials are closed under the same operations as integers. </em>

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yulyashka [42]
I might be wrong but I think the answer would be -x+2x+6 as a simplified version because if you use the equation (x+4•x+3)-3x(x+1)=a (or any letter you choose), you will get 3x+x^2+12+4x-3x-3x^2=y. Then, you can combine like terms:
4x-2x+12=a
7 0
2 years ago
True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false,
tiny-mole [99]

In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number r such that

a_{n+1}-a_n=r\quad \forall n\geq 1

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number r such that

\dfrac{a_{n+1}}{a_n}=r\quad \forall n\geq 1

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.

For example, any sequence starting with

1, 15, -3,\ldots

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.

5 0
3 years ago
Connor is constructing parallelogram ABCD. He has plotted A at (−2, 4), B at (0, 3), and D at (−3, 2). Which coordinate could be
bezimeni [28]

Answer:

C (-1, 1)

Step-by-step explanation:

5 0
2 years ago
Roy drives a sedan that gets mileage of 30 miles per gallon. If fuel consumption is represented by g and mileage by m, which fun
Troyanec [42]

This question is given you the information of the two units mileage in terms of miles per gallon and fuel consumption. G is gallons. Therefore meaning, total distance is equal (=) to mileage times (X) fuel consumption.

The answer is: A) m = f(g) = 30 × g

4 0
3 years ago
19.
ziro4ka [17]

Answer:

B. y= -3x2 + 3

Step-by-step explanation:

y= -3^2+3

4 0
3 years ago
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