Side 1: 3x2 - 2x - 1
Side 2: 9x + 2x2 - 3
The perimeter of the triangle is 5x3 + 4x2 - x - 3.
Part B: What are the degree and classification of the expression obtained in Part A? (2 points)
Answers
Answer:
Part A - [tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex], Part B - Polynomial of second degree and formed by 3 monomials, Part C - [tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]
Step-by-step explanation:
Part A - The total length of the sides 1 and 2 is equal to the addition between respective polynomials:
[tex]l_{1} + l_{2} = (3\cdot x^{2} - 2\cdot x - 1) + (9\cdot x + 2\cdot x^{2} - 3)[/tex]
[tex]l_{1} + l_{2} = (3\cdot x^{2} + 2\cdot x^{2}) + (9\cdot x - 2\cdot x) +[(-1) + (-3)][/tex]
[tex]l_{1} + l_{2} = 5\cdot x^{2} + 7\cdot x -4[/tex]
Part B - The degree is the highest exponent of the polynomial and the classification is related to the number of monomial that make part of the algebraic expression. In this case, we conclude that resulting expression is a polynomial of second degree and formed by 3 monomials.
Part C - The length of the third side of the triangle by subtracting the expression found in part A from the polynomial of the perimeter of the triangle:
[tex]l_{3} = p - l_{1} - l_{2}[/tex]
[tex]l_{3} = (5\cdot x^{3}+4\cdot x^{2}-x-3) -(5\cdot x^{2}+7\cdot x -4)[/tex]
[tex]l_{3} = 5\cdot x^{3} + [4+(-5)]\cdot x^{2}+[(-1)+(-7)]\cdot x +[(-3)+ 4][/tex]
[tex]l_{3} = 5\cdot x^{3} -x^{2}-8\cdot x +1[/tex]
Answer:
Part A; Total length of side 1 and 2 = 5·x² + 7·x - 4
Part B; The degree of the polynomial is 2
The classification of the polynomial is a trinomial quadratic equation
Part C; 5·x³ - 4·x² - 6·x + 2
Step-by-step explanation:
The length of the sides of the rectangle are;
Side 1: 3·x² - 2·x - 1
Side 2: 9·x + 2·x² - 3
The perimeter of the rectangle is 5·x³ + 4·x² - x - 3
Part A
The given expression for the sides of the rectangle are;
Side 1: 3·x² - 2·x - 1
Side 2: 9·x + 2·x² - 3
The total length of side 1 and side 2 is given by add ing the given expressions as follows;
Total length of side 1 and 2 = 3·x² - 2·x - 1 + 9·x + 2·x² - 3 = 5·x² + 7·x - 4
Part B
The degree of the polynomial is 2 and the classification of the polynomial is a trinomial quadratic equation
Part C
Given that a rectangle rectangle consists of two pairs of equal opposite sides, we have;
The length of the third side = The perimeter - (2 × The length of side 1 + The length of side 2)
The length of the third side = 5·x³ + 4·x² - x - 3 - (2 × (3·x² - 2·x - 1) + 9·x + 2·x² - 3)
The length of the third side = 5·x³ + 4·x² - x - 3 - (8·x² + 5·x - 5)
The length of the third side = 5·x³ - 4·x² - 6·x + 2
Related Questions
Which of the following rational functions is graphed below?
Answers
the answer is
C.IN MY OPINION HOPE IT HELPEDApparantly this Math problem is impossible? Ive posted it like 10 times and yet nobody has answered
Answers
Answer:
Step-by-step explanation:
r=5 ×90/100=4.5 in
h=6×90/100=5.4 in
a.
volume of original cylinder=π×5²×6=150 π≈471.24 in³
b.
volume of new cylinder=π×4.5²×5.4=109.35 π in³≈343.53 in ³
c.
decrease in volume=150 π-109.35 π=40.65π
% decrease=(40.65 π)/150 π×100=4065/150=1355/50=27.1 %
What is the domain of the function y = l n (x + 2)
A. x < -2
B. x > -2
C. x < 2
D. x > 2
Answers
Answer:
Option B.
Step-by-step explanation:
For a function f(x), the domain is the set of all the possible values of x that can be used in the function.
We know that the natural logarithm is only defined for positive real numbers.
So, the function:
Ln(x + 2)
Works always that
x + 2 > 0
So we can just solve this inequality for x, and that will give us the domain of the function.
To isolate x, we just need to subtract 2 in both sides of the inequality.
x + 2 - 2 > 0 - 2
x > - 2
This is the domain of the function.
The correct option is B.
Answer:
b.x>-2
Step-by-step explanation:
edge 2021
hey! i’ll give brainliest please help.
Answers
Answer:
shah
:) hope this helps!
Show the given equation in a graph
x + y = 5
Answers
Answer:
you us the equation given and plot points in the graph that are given with the equation.
The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answers
Answer:
60.04
Step-by-step explanation:
I got the tax amount and tip amount and added them.
Answer:
Step-by-step explanation:
cost of meal=$52
tax=52×7 %=3.64$
tip=52×20%=10.40$
total cost of meal=52+3.64+10.40=66.04 $
Which expression is equivalent to 16x4 – 64? and explain the answer plzz
Answers
Answer:
4(4x1-16)
Hope this helps
Have a good day :)
PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64
Step-by-step explanation:
How many solutions does the equation
-2(x + 3) = 2x - (5 – x) have?
Answers
Step-by-step explanation:
-2(x + 3) = 2x - (5 – x)
-2x+6= 2x-5+x
-2x+6=3x-5
-2x-3x=-5-6
-5x=-11
x= 11/5
( 1 solution)
Answer:
Solution given:
-2(x + 3) = 2x - (5 – x)
-2x-6=2x-5+x
-6+5=2x+2x+x
5x=-1
x=[tex] \frac{-1}{5} [/tex]
It has one Solution.
hey! please help i’ll give brainliest
Answers
Answer:
Your answer would be C: occurred during the same period of time
Step-by-step explanation:
when you see the word expect you will
Answers
Answer:
Um, yes? No clue what you're asking.
Answer:
could you try to rephrase that question? I don't think I understand it.
Find the value of x in the figure shown.
Answers
Answer:
x= 17
Step-by-step explanation:
Assuming that the total degree of this side is also 90, we'll subtract 90 with 39.
90 - 39= 51
since x is 3 times the total degree, we'll divide 51 by 3, leaving us with 17.
Find the missing value for the parallelogram
Answers
Answer:
y = 85°
z = 35°
x = 60°
Step-by-step explanation:
y) 180 - 120 = 60, therefore:
180 - (35 + 60)
=> y = 85
z)
=> z = 35
x)
180 - (35 + 85)
=> x = 60
Hope this helps!
Answer:
to find y
you find the bottom right angle
which is 180-120 = 60
then you do 60+35 = 95
then 180 -95 because the sum of all angles in a triangle is 180
so the answer is 85 = y
There is a rule where the alternate angles between the parallel lines are identical
if y = 85 that means that the angle next to 35 is 85
same for angle z, if the top right 35, that means that angle z = 35
Now you add 35 + 85 = 120
180 - 120 = 60 = angle x
In summary
x=60
y=85
z=35
Hope that answers your question
Don't hesitate to leave a comment if you are confused about something
Step-by-step explanation:
Help please! i don't understand what the questoin is asking me to put
Answers
Answer:
Bx72
Step-by-step explanation:
Hope this helps
Answer:
it is asking what name of this solution is and how to solve it
Step-by-step explanation:
A circle has a circumference of 10 feet. What is the
diameter?
Answers
HELPPPPPPPPPPP
Find the volume of the cone.
Either enter an exact answer in terms of
π
πpi or use
3.14
πpi and round your final answer to the nearest hundredth.
Answers
Answer:
V = 18.84 units³
Step-by-step explanation:
The formula for the volume of a cone of base radius r and height h is
V = (1/3)(pi)(r²)(h).
Here, with pi = 3.14, r = 3 and h = 2, we get:
V = 18.84 units³
Declan says that any number n, the product 4 times n is greater than 4. Which value of n shows why declan is incorrect
Answers
Answer: [tex]n>1[/tex]
Step-by-step explanation:
Given
The product of 4 times n is greater than 4 i.e.
[tex]\Rightarrow 4\times n>4\\\text{Dividing both side of inequality by 4}\\\\\Rightarrow \dfrac{4n}{4}>\dfrac{4}{4}\\\\\Rightarrow n>1[/tex]
It can be said that the value of n must be greater than 1.
7. Jeremiah is going to the local arcade with $32 in his wallet to spend. He plans to bowl one game and play some arcade games. A game of bowling costs $11, the bowling shoe rental is $3.75, and the arcade games cost $0.75 each. Write and solve an inequality to find the number of arcade games Jeremiah can play.
Answers
Answer:
x < 25
Step-by-step explanation:
ayee
Plssss help SUNDAY HOMEWORKKKKKKKKKKKK
Answers
Answer:
already did
Step-by-step explanation:
Find the area and round it to the nearest hundredth if necessary
Answers
Answer:
16.28 squared inches
Step-by-step explanation:
Use the formula A = bh.
b = base
h = height
A = (4.4) (3.7)
A = 16.28
Please help me with this question
Answers
Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
An experiment consists of spinning the spinners shown and adding the numbers together. Complete the array.
Answers
Answer:
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]
Step-by-step explanation:
Given
[tex]Spinner = \{1,2,3,4\}[/tex]
Array:
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]
Required
Complete the blanks
To do this, we simply add up corresponding row and column elements.
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {} & { } & { } & {5} & {2} & { } & {} & { } & { } & {3} & {4} & { } & {} & { } & {4} & { } & {6} & { } & {} \ \end{array}[/tex]
So, we have:
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {1+1} & {1+2 } & {1+3 } & {4} & {2} & {2+1 } & {2+2} & {2+3 } & {2+4 } & {3} & {4} & {3+2 } & {3+3} & {3+4 } & {4} & {4+1 } & {6} & {4+3 } & {4+4} \ \end{array}[/tex]
Add
[tex]\begin{array}{ccccc}{} & {1} & {2} & {3} & {4} & {1} & {2} & {3} & {4} & {5} & {2} & {3} & {4} & {5} & {6} & {3} & {4} & {5} & {6} & {7} & {4} & {5} & {6} & {6} & {8} \ \end{array}[/tex]
ANYONE PLS HELP ASAP!!!
Answers
Part A answer- 2.5
Work: 5 divided by 2 which is just 2.5 which is your answer
Part B answer - 12.5
Work- 2 bags = 10 pounds (5x2=10)
We already know half a bag is 2.5 so just add 10+2.5= 12.5
Function “p” is in the form y=ax^2 + C. If the values of “a” and “c” are both less than 0, which graph could represent “p”?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer:
B
Step-by-step explanation:
Since the value of a is less than 0, the graph of the parabola would be opening downwards. Because of this we can rule out option C. In a quadratic equation, c represents the y-intercept, and, in this case c is negative, meaning the y-intercept is less than 0. Only option B has a downward-opening curve and a y-intercept less than 0, so it is the answer.
Answer:
B. Graph B
--------------------
hope it helps...
have a great day!!!
ahhhh someone help pls!!!!
Answers
Answer:
I may be wrong but I think it's 90 I may be wrong but hey I tryed.
Step-by-step explanation:
What is 3n at n = 11
Answers
Answer:
33
Step-by-step explanation:
3n but n is 11 means 3x11
Answer:
3n = 33 when n = 11
Step-by-step explanation:
n = 11
therefore
3(11)
which means 3 times 11
Answer = 33
Hope this helps!
Dentro de 15 años la edad de Carlos será el doble de la edad de Ana. Hace 6 años la edad de Carlos era el triple de la de Ana. Calcular la suma de sus edades y dar como respuesta la suma de cifras de este resultado
Answers
Answer:
Ana tiene 27 años mientras que Carlos, tiene 69 años
La suma de las edades es: 27+69 = 96
La suma de las cifras de este resultado es 9+6 = 15
Step-by-step explanation:
Vamos a hacer una linea temporal para ubicarnos en tiempo.
AÑO 2021, Ana tiene una edad A mientras que Carlos tiene una edad C
15 años para adelante
AÑO 2036, la edad de Carlos es el doble de la de Ana
C = 2A
Si nos vamos 6 años para atrás
AÑO 2015, la edad de Carlos es el triple de la de Ana
C = 3A
Como de 2015 a 2036 pasan 21 años, podemos plantear que
La edad de Carlos + 21 va a ser 2 veces la edad de Ana, traducido:
C + 21 = 2A, pero en 2015, ya sabemos que la edad de Carlos es el triple de la de Ana, entonces:
3A + 21 = 2A. Si despejamos:
3A - 2A = -21
A = |21| Ésta es la edad de Ana. (Ponemos valor absoluto porque una edad no puede ir negativa.
Si Ana en 2014 tiene 21 años, Carlos tiene 63 (el triple) por lo que sumamos 6 años y llegamos al presente:
En 2021, Ana tiene 27 años (21+6), mientras que Carlos tiene 69 (63+6). Edades actuales.
Nos corremos 15 años al futuro, por lo que llegamos al año 2036.
Carlos pasa a tener 84 años (69+15) y Ana, 42 (27+15) donde verificamos que la edad de Carlos, es el doble que la de Ana, 84/42 = 2.
Finalmente la suma de las edades es: 27+69 = 96
La suma de las cifras de este resultado es 9+6 = 15
bag of candy contains 4 strawberry
flavored gumdrops, and 5 orange
flavored gumdrops. If Billy reaches in,
takes one out and eats it, and then 20
minutes later selects another and eats
that one as well, what is the probability
that they were both orange flavored
gumdrops? Leave answer as a fraction in simplest form.
Answers
There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...
5/9, 4/8
Can you combine these two fractions for a final answer?
will give brainlyist if quick Which of the equations is graphed below?
Answers
Answer:
c
Step-by-step explanation:
8.6 divided by 1,000 =
find the quotient. divide decimals by power of ten.
Answers
Solve for x. Rolind to the nearest hundredth.
Answers
cos(51°) = x/7
x = 7 • cos(51)
x = 4.4052 = 4.41