1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ch4aika [34]
3 years ago
14

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

Mathematics
1 answer:
julsineya [31]3 years ago
7 0
Answers: 
Part A: 12y² + 10y – 21
Part B: 4y³ + 6y² + 6y – 5 
Part C: See below.

Explanations: 
Part A: 
For this part, you add Sides 1, 2 and 3 together by combining like terms:
Side 1 = 3y² + 2y – 6
Side 2 = 4y² + 3y – 7
Side 3 = 5y² + 5y – 8
3y² + 2y – 6 + 4y² + 3y – 7 + 5y² + 5y – 8
Combine like terms: 
3y² + 4y² + 5y² + 2y + 3y + 5y – 6 – 7 – 8 
12y² + 10y – 21

Part B: 
You have the total perimeter and the sum of three of the sides, so you just need that fourth side value, which we can call d.
P = 4y³ + 18y² + 16y – 26
Sides 1, 2 & 3 = 12y² + 10y – 21 
Create an algebraic expression: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
Solve for d: 
12y² + 10y – 21 + d = 4y³ + 18y² + 16y – 26
– 12y²                                – 12y²
10y – 21 + d = 4y³ + 6y² + 16y – 26 
– 10y                               – 10y
– 21 + d = 4y³ + 6y² + 6y – 26 
+ 21                                + 21 
d = 4y³ + 6y² + 6y – 5 

Part C: 
If closed means that the degree that these polynomials are at stay that way, then yes, this is true in these cases because you will notice that each side had a y², y and no coefficient value except for the fourth one. This didn't change, because you only add and subtract like terms.
You might be interested in
A slow pitch softball diamond is actually a square 60 ft on a side. how far is it from home to second ​base?
krek1111 [17]
For this case we have a square whose sides are known and equal to 60 ft.
 We want to find the diagonal of the square.
 For this, we use the Pythagorean theorem.
 We have then:
 d^2 = 60^2 + 60^2

d =  \sqrt{60^2 + 60^2}

 d =  \sqrt{3600 + 3600}

d = \sqrt{2*3600}

d = 60\sqrt{2}

 Answer:
 
from home to second ​base it is about:
 d = 60\sqrt{2} feet
3 0
3 years ago
Use the order of operations to evaluate the expression.
Lera25 [3.4K]

Answer:

the answer is 12

Step-by-step explanation

first you got to divide the 12 and the 3 which is 4

then you got to add 8 and 22 which would get you 30 and then bring the times 2 down and the multiply it to the 4 which is 8 and then you subtract the 30 and the 8 and then you'll get 12

6 0
3 years ago
Read 2 more answers
16. David wanted to buy a new suit selling for $400. He negotiated with the salesperson
Reil [10]
Answer:$344

1/5 of 400 is 80 so if you subtract that it would be $320
1/50 of $400 is 8 so if you multiply that by 3,3/50 of $400 is(8*3)24 so $320+$24=$344
7 0
3 years ago
To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the
Mars2501 [29]

Answer:

No.

Step-by-step explanation:

The function is any equivalence relation in which there is only one output for every input. This means that the domain must be exhausted in order to gain all the elements of the range and each element of domain gets mapped to only one of the elements of the range. Vertical line test is used to determine whether a graph is a function or not. This test requires that vertical lines parallel to y-axis and including y-axis be drawn on the graph to see that each vertical line intersects the graph only once. This must be true for all the elements of the domain. Therefore, vertical line test requires to draw numerous vertical lines other than the y-axis since the definition of the function requires that. In short, mathematically, there will be a need for infinite number of vertical lines to perform the test. Therefore, Shayla is not applying the vertical line test correctly!!!

8 0
3 years ago
What does -2(-5x+9)-9x equal
Ann [662]
-2(-5x+9)-9x
-2(-5x)+-2(9)-9x
10x-18-9x
+9        +9
19x=-18
----    ----
19     19
x=-1.05
7 0
3 years ago
Other questions:
  • Part A.) in another baseball game division, one team had a winning percentage of 0.444... what fractions of the game did the tea
    12·1 answer
  • You have a total of 35 coins, all nickels ($0.05) and quarters ($0.25). The total value is $5.75. Find the number of nickels, n,
    13·1 answer
  • IS ANYONE GOOD IN LAW OF COSINES..If so ill give brainlest​
    6·1 answer
  • Hey guys, I need help with this word problem. I don't just want the answer. I would like the steps please!
    14·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%20%2B%20n%7D%7B4%7D%20%20%3D%20%20-%201" id="TexFormula1" title=" \frac{5 + n}{
    14·2 answers
  • 1000 centimeters=_______meters?
    15·1 answer
  • Find the point of intersection of the lines:
    6·2 answers
  • Solve for x<br> And show work
    5·2 answers
  • 3) Jack has $400 and is going to start saving $30 per week. Sally has $225 and is going to start saving $55 per
    7·1 answer
  • Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to th
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!