Answer:
i, ii, iv
Step-by-step explanation:
A Pythagorean triplet satisfies the relation:
[tex]\boxed{a^2+b^2=c^2}[/tex]
[tex]10^2+24^2=26^2\\100+576 = 676\\676 = 676[/tex]
[tex]14^2+48^2=50^2\\196+2304= 2500\\2500= 2500[/tex]
[tex]18^2+79^2=82^2\\324+6241= 6724\\6565 \neq 6724[/tex]
[tex]22^2+120^2=122^2\\484+14400 = 14884 \\14884 = 14884[/tex]
You are carpeting a room in a house for your job. You have a boss that likes to play jokes, so instead of just giving you the dimensions of the room, he tells you the dimensions in rational expressions. The length of the room is fraction numerator x squared minus x minus 6 over denominator x minus 5 end fractionand the width of the room is fraction numerator x squared minus 6 x plus 5 over denominator x plus 2 end fraction. What is the area of the room in terms of x? How much carpet do you need if x = 10?
Answer:
[tex]x^2-4x+3[/tex]
[tex]63\ \text{sq. units}[/tex]
Step-by-step explanation:
l = Length = [tex]\dfrac{x^2-x-6}{x-5}[/tex]
w = Width = [tex]\dfrac{x^2-6x+5}{x+2}[/tex]
Area is given by
[tex]A=lw\\\Rightarrow A=\dfrac{x^2-x-6}{x-5}\times\dfrac{x^2-6x+5}{x+2}\\\Rightarrow A=\dfrac{x^2-3x+2x-6}{x-5}\times\dfrac{x^2-5x-1x+5}{x+2}\\\Rightarrow A=\dfrac{(x-3)(x+2)}{x-5}\times\dfrac{(x-5)(x-1)}{x+2}\\\Rightarrow A=(x-3)(x-1)\\\Rightarrow A=x^2-4x+3[/tex]
Area of the room is [tex]x^2-4x+3[/tex].
If [tex]x=10[/tex]
Area of the room
[tex]A=x^2-4x+3=10^2-4\times 10+3\\\Rightarrow A=63\ \text{sq. units}[/tex]
So, the amount of carpet needed would be [tex]63\ \text{sq. units}[/tex].
I need help real quick!!!!!!1
Answer:
1. 9
2. 8
3. 16
4. 20
5. 27
6. 6
7. 54
8. 70
9. 24
10. 20
11. 15
12. 42
13. 25
14. 44
15. 28
16. 66
17. 36
18. 60
19. 16
20. 9
21. 18
22. 30
23. 4
24. 9
25. <
26. >
27. <
28. =
29. >
30. =
31. >
32. <
Step-by-step explanation:
Math
Can i have brainliest?
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the sum of 2.005, 35.7 and 406
Answer:
443.705
Step-by-step explanation:
The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the same height but is longer in length by 3 units and wider by 2 units.
Answer:
V(x)=(x+9) * (x-4) * (x+6)
Step-by-step explanation:
A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula
V = w * h * l
where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.
V(x)=(x+9) * (x-4) * (x+6)
(2x + 3y) + (4x - 3y) = 11+(-5)
Which of the following is equivalent to the equation above?
A. 6x=10
B. 6x=16
C. 6x+6y=6
D. 6x+6y=16
Answer:
The correct option should have been [tex]6x=6[/tex].
Step-by-step explanation:
Given the expression
[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]
solving the expression
[tex]\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)[/tex]
Remove parentheses: (a) = a
[tex]2x+3y+4x-3y=11-5[/tex]
Group like terms
[tex]3y-3y+2x+4x=11-5[/tex]
Add similar elements
[tex]6x=6[/tex]
It is clear that not a single given option is [tex]6x=6[/tex]. It means no option is correct. It seems you mistyped the correct options.
The correct option should have been [tex]6x=6[/tex].
Help is Geometry find x
Answer:
x=64
Step-by-step explanation: because the sides are both the same so do 128/2 which equals 64 so x=64
find the slope of the line (3,4) , (6,0)
Answer: its a negative slope and its -4/3
Step-by-step explanation:
hope this helped you
Find the slope of the line between (-7, -2) and (9, 4)
A, B, C, or D?
A) M=-3/8
B) M=3/8
C) M=6/17
D) M=2/5
Answer:
dufenschmertz evil incorporated...
Step-by-step explanation:
after hours ;)
oh ma goawd he on x gaems mode
What is the distance between -15.5 and -8.7?
A: 24.2
B:7.2.
C. 6.8
D. -24.2
B. 7.2
Step-by-step explanation:
-15.5+7.2=(-8.7) and vice versa.
Moira is a teacher, and she drives to school and back every day from her home. It is 32 miles from her home to work.
How far does Moira drive roundtrip in 5 work days?
Answer:
Here is the answer 160 miles
Step-by-step explanation:
If you want more explanation you just do 32x5=160 or if its back and forth it would be 32x10=320
(A U B) n (A n B)
A= {1,3,7,9,10}
B= {2,5,7,8,9,10}
Answer:
{7,9,10}
Step-by-step explanation:
(A U B) ∩ (A ∩ B)
(A U B): {1,3,7,9,10} U {2,5,7,8,9,10} = {1,2,3,5,7,8,9,10}
(A ∩ B): {1,3,7,9,10} ∩ {2,5,7,8,9,10} = {7,9,10}
(A U B) ∩ (A ∩ B): {1,2,3,5,7,8,9,10} ∩ {7,9,10} = {7,9,10}
y = x2 + 13
Non linear or linear
Answer:
linear
Step-by-step explanation:
as it has X2 +..... something in it
Determine if segments AB and CD are parallel, perpendicular, or neither. AB formed by A(3,8) and B(-6,5) CD formed by C(-6,7) and D(-3,8)
Answer:
They are parallel
Step-by-step explanation:
(3,8)(-6,5): do sloe formula (y1-y2 over x2-x1)
AB: 1/3 slope (Full formula y=1/3x+7)
(-6,7)(-3,8) ---> 8-7 over -3-(-6) = 1/3
CD: 1/3 slope (Full formula y=1/3x +9)
They have the same slope so they are parallel
Task 3
please pa answer na po ngayun (个_个)
Directions: Find the quotient.
1) 75.36 ÷ 0.24 =
2) 1.536 ÷ 0.3 =
3) 6.705 ÷ 0.45 = =
4) 1.875 ÷ 0.05 =
5) 6.048 ÷ 0.8 =
Task 4
Directions: Find the quotient.
1) 1.6 5.136 2) 2.8 7.364
4) 4.8 83.52
3) 3.6 65.52
5) 5.6 3.136
Answer:
eue8whiwhwihdhd123456789101122334
A local florist charges $15 for delivery plus $2.75 per flower for all flower arrangements. When Marcus got the bill for a flower arrangement he ordered, it was less than $50. Which of the following could not represent the number of flowers in the arrangement Marcus ordered?
Answer:
Step-by-step explanation:
Step one:
given
All Charges
$15 for delivery
and $2.75 per flower
let the number of flowers delivered be x
and the total charges for x flowers be y
the linear function for the total charges is
y=2.75x+15
Step two:
when y=$50
50=2.75x+15
50-15=2.75x
35=2.75x
divide both sides by 2.75
x=35/2.75
x=12.72
Note: we are not given the options. We only solved for the flower arrangements
Therefore the number of flowers in the arrangement Marcus ordered
is 12.72 flowers
Each lap around the park is 0.58 mile. Jessica walked 3.25 laps around the park. How many miles did Jessica walk around the park?
Answer:
5 miles but she did walk part of another mile so that would be 5.35.
Step-by-step explanation:
you can take 3.25 and subtract that by 0.58 until you can't do it anymore. Also I didn't know if you wanted the exact amount which would be 5.35 but total miles is only 5. Hope this helps!
If a1=5 and an= -5an-1 then find the value of a5.
Answer:
The value of a5 is 3125
Step-by-step explanation:
Recursive Sequence
It refers to the sequences where each term is given as a rule that depends on one or more of the previous terms, unlike explicit sequences where a general term is given and we can calculate any term without knowing the value of the previous terms, except for the first one.
The sequence is given as:
[tex]a_1=5[/tex]
[tex]a_n=-5a_{n-1}[/tex]
To find the value of a5, we need to find the previous terms first:
[tex]a_2=-5a_{1}=-5*5=-25[/tex]
[tex]a_3=-5a_{2}=-5*(-25)=125[/tex]
[tex]a_4=-5a_{3}=-5*125=-625[/tex]
[tex]a_5=-5a_{4}=-5*(-625)=3125[/tex]
The value of a5 is 3125
The sales tax in one state is 5%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $110.
A. FX) 1.05x; $115.50
B. f(x) = 0.05x; $5.50
C. FX) 5 + x;$111.05
D. f(x) = x - 5; $108.95
Answer:
f(x) = .05x; $5.50
Step-by-step explanation:
f(x) = .05x
f(110) = .05(110) = $5.50
Solve and graph the compound inequality:
5C + 3 < 28 and -4C – 2 14
5 C + 3 < 28 a - 4 C - 214
a>9c +31
------------
28. 4
C >28a-21
------
9
Answer:
c < 5 or c <= -4
Step-by-step explanation:
apek
Take half of the input, 30, and subtract 10. What is the output?
What are some other ways the answer can be determined ( other than Multiplication)
Will mark and 5 STARS, THANKS
En la regla de la potencia, durante el proceso de integración, se ________ 1 al exponente, mientras que en la derivación se ________ 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa ________. Al último, agregamos la letra c, que significa constante" *
Answer:
a) adiciona, b) sustrae, c) multiplicando.
Step-by-step explanation:
A continuación, presentamos la respuesta correcta al ejercicio citado:
En la regla de la potencia, durante el proceso de integración, se adiciona 1 al exponente, mientras que en la derivación se sustrae 1 a dicho exponente. De igual forma, el exponente pasa dividiendo mientras que en la derivación pasa multiplicando. Al último, agregamos la letra C, que significa constante.
Razones
Derivación de una función potencial:
[tex]\frac{d}{dx}(x^{n}) = n\cdot x^{n-1}, n\ne 0[/tex]
Integración de una función potencial:
[tex]\int {x^{n}} \, dx = \frac{x^{n+1}}{n+1}+C,x\ne -1[/tex]
HELP ASAP GIVING BRAINLIEST
Solve for x in the diagram below
Answer:
Step-by-step explanation:
60=x+45
x=15
The scale of a map says that 3 inches represents 4 miles. What distance on a map represents an actual distance of 2 miles?
Answer:
1.5 inches
Step-by-step explanation:
half of four miles so half of 3 inches
What is the value of |3|?
Are you wanting the absolute value of 3 if so it's just 3
22. The cost of renting a pickup truck at Company A is $25 plus 15 cents per mile driven. The cost ol
Renting a truck at Company B is $25 plus 10 cents per mile driven. In the graph of the cost of a
Truck rental, what does the cost per mile driven represent?
A The point of intersection
B The y-intercept
C The x-intercept
D The slope
Answer:
D. The slope
Step-by-step explanation:
0.15 = 3/20
0.10 = 1/10
Given:
company A: y = 3/20x + 25
company B: y = 1/10x + 25
y = mx + b
m is slope
b is y-intercept
Determine the value of the rest of the angles
Answer:
2, 5, 6 are all 154
1, 3, 4, and 7 are all 26
Jason and Bailey found a venue for their wedding. The venue requires a $500 deposit to hold the venue for a certain date. If this was 10% of the cost of the venue, how much will Jason and Bailey pay for the venue?
Answer:
$5,000Step-by-step explanation:
Step one:
given
initial deposite= $500
10% of the venue is $500
let the cost of the venue be x
Required
cost of the venue
10/100*x=500
0.1x=500
divide both sides by 0.1
x=500/0.1
x=$5000
Therefore the cost of the venue is $5,000
help me please!!! anything will help.