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.
To solve this equation we must first plug in 5 for x.
<span> (5 - 4x)
</span>↓
(5 - 4 · 5)
The next step would be to multiply 4 by 5 to get rid of the parenthesis within our main parenthesis.
(5 - 4 · 5)
(5 - 20)
The next step would be to subtract both of the numbers within the parenthesis.
(-15)
Now we must multiply.
-
· 15 = -
-
Now we simplify our answer to get our final answer.
-5
Given:
The price of a doll = $35
Sales tax = 6%
To find:
The tax amount that a customer will pay on one doll.
Solution:
The price of doll is $35 and the sales tax is 6%, so the tax amount on a doll is 6% of 35.
Therefore, the tax amount that a customer will pay on one doll is $2.1.
Area of sector=fraction of sector times area of circle
fraction of sector=degrees/360
and area of circle=pir^2
so
hold a sec, we have the wiper on the outside, so we want to find the outside ring thing
do
area big sector-area small sector
or even better
(degrees/360) times (area big-areasmall)
big is 10
small is 4 (10-6=4)
areabig=10^2 times pi or 100pi
areasmall=4^2 times pi or 16pi
areabig-areasmall=100pi-16pi=84pi
then find the fraction
84pi times (150/360)=35pi square inches
Since the specific conclusion is based on a general premise, this is a case of deductive reasoning.
<h3>What is deductive reasoning?</h3>
The term deductive reasoning has to do with the process of arriving at a specific conclusion based on a more general premise.
In this case, the conclusion arrived at was based on the fact that Mia saw a general sign that read that 3 grapefruit cost $2.50. Hence, this is a case of deductive reasoning.
Learn more about deductive reasoning:brainly.com/question/16685989
#SPJ1
