Answer:
x²+x+1
Step-by-step explanation:
1st one,
x³-1
= (x-1)(x²+x+1)
2nd one,
x⁴+x²+1
= x⁴+x³-x³+x²+x²-x²+1+x-x
= x⁴+x³+x²-x³-x²-x+x+x²+1
= x²(x²+x+1)-x(x²+x+1)+(x²+x+1)
= (x²+x+1)(x²-x+1)
3rd one,
x³+1+2x²+2x
= x³+x²+x²+x+x+1
= x³+x²+x+x²+x+1
= x(x²+x+1)+(x²+x+1)
= (x²+x+1)(x+1)
So, here the common part among these three is,
x²+x+1, so it's the H.C.F.
SOMEONE PLEASE HELP ME!!!
Answer:
31.8
Step-by-step explanation:
side AD : side EH
13 : 46
side BC : side FG
9 : x
these ratios work because these are similar quadrilaterals and their sides correlates when the figures are rotated to match the other figure's position.
13/46 = 9/x
x = 31.846
x = approx. 31.8
Answer:
FG = 31.8
Step-by-step explanation:
[tex]\frac{13}{46} = \frac{9}{x}[/tex]
13x = 46 * 9
13x = 414
x = 31.8
The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base?
Answer:
Step-by-step explanation:
You already know the formula for area of a triangle, so we will write it down and then fill it in with the info given.
[tex]A=\frac{1}{2}bh[/tex] and filling in:
[tex]54=\frac{1}{2}b(12)[/tex] and we can simplify that a bit by dividing 12 by 2 on the right side to get:
54 = 6b and dividing:
b = 9 inches
PLZZZZZZZZ HELP as soon as possible it's 60 point so please help
Which best describes the relationship between the line that
passes through the points (1, -6) and (3,-2) and the line that
passes through the points (4,8) and (6, 12)?
A. parallel
B. same line
C. neither perpendicular nor parallel
D. perpendicular
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
(a) If the length of a pond having the perimeter 274 m is 68.5 m, prove that the pond is square shaped
Answer:
68,5*4=274 nên cái ao đó là hình vuông
Step-by-step explanat
4*a là chu vi hình vuông
John and Pablo caught fish that have the lengths, in centimeters, listed below. 45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44 Which box-and-whisker plot correctly represents the data?
The options for the box and whisker plots aren't given ; however using technology, a box and whisker plot could be generated from the data.
Answer:
Step-by-step explanation:
Given :
45, 44, 47, 49, 45, 47, 42, 39, 45, 42, 44
Using technology, the box and whisker plot generated for the data is attached below.
The 5 - number summary is also given below :
Minimum: 39
Median: 45
First quartile: 42
Third quartile: 47
Interquartile Range: 5
Maximum: 49
Outliers: none
Answer:
Step-by-step explanation:
What is the range of the function on the graph?
Answer:
The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
Step-by-step explanation;
The range of a function is the set of y-coordinates of all the points int he graph of the function.
Look at the graph. The vertex is point (2, -3).
The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
I need help , slope calculator
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
Insert seven rational numbers between 2 and 3.
Answer:
5/2, 7/3, 9/4, 11/5, 13/6, 15/7,17/8
Step-by-step explanation:
Answer:
2/1
2.5
2whole number6/4
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
What is the solution set of 7x 2 + 3x = 0?
{0, 3/7}
{0, -3/7}
{0, -4/7}
Answer:
the answer is b when we have two positives it makes a negitive therefore its b
Step-by-step explanation:
Can someone help me with this I don't understand find TAN
Answer:
Tan X = 14/48 = 7/24
Answered by GAUTHMATH
Answer:
7/24
Step-by-step explanation:
tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)
14 / 48 = 7 / 24. Simplest form is 7/24.
Which is equivalent to x3y–7? x cubed y Superscript 7 StartFraction x cubed Over y Superscript 7 EndFraction StartFraction x cubed Over y Superscript negative 7 EndFraction StartFraction y Superscript 7 Over x cubed EndFraction
Answer:
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Step-by-step explanation:
Given
[tex]x^3y^{-7}[/tex]
Required
The equivalent
We have:
[tex]x^3y^{-7}[/tex]
Apply the following rule of exponents
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, we have:
[tex]x^3y^{-7} = x^3 * \frac{1}{y^7}[/tex]
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Answer:
the 2nd one or B
Step-by-step explanation:
By how much is 9966004321 larger than 1 billion
9966004321 is larger than 1 billion by 9,866,004,321.
What is comparison of two numbers?Comparison of numbers defines the similar properties between two numbers, and the number is larger than, smaller than or equal to another number.
What is "how much larger" in math?In Math " how much larger " indicates that we have to find the difference. So, we subtract the smaller value from the larger value.
According to the given question
We have number 9966004321
1 billion = 1,000,000,000
So, for finding how much 9966004321 is larger than 1 billion we will subtract 1 billion from 9966004321.
Therefore,
9966004321 - 1,000,000,000 = 9,866,004,321
Hence, 9966004321 is larger than 1 billion by 9,866,004,321.
Learn more about comparison of two numbers here:
https://brainly.com/question/17329628
#SPJ2
who can help me PLEASE
Instruction find the measure of the missing angles in the kite
Both the angles will be 105°
Just add up the given angles, subtract the result by 360, and divide by 2.
Find the missing side lengths
Answer:
[tex] \sin(45) = \frac{o}{h} \\ 0.7 = \frac{x}{18 \sqrt{2} } \\ 0.7 \times 18 \sqrt{2} = x \\ 0.7 \times 25.45 = x \\ 17.8 = x[/tex]
[tex] {x}^{2} + {y}^{2} =( 18 \sqrt{2} ) ^{2} \\ {17.8}^{2} + {y}^{2} = 648 \\ 316.84 + {y}^{2} = 648 \\ {y}^{2} = 648 - 316.84 \\ {y}^{2} = 331.16 \\ y = 18.19[/tex]
find the measure of the indicated angle to the nearest degree
Answer:
missing angle= 44°
Step-by-step explanation
sin=opposite/hypotenuse
cos=adjacent/hypotenuse
tan=opposite/adjacent
x is opposite of 19 and 41 is the biggest side so that is the hypotenuse. with that being said you will put in your calculator sin(19/41) and make sure that it is in radian mode. This gives you the answer of 44°
Find the measure of the missing arc KN labeled on the graph. Show ll your work that leads the final answer. *
Answer:
Arc KN = 201°
Step-by-step explanation:
Recall: According to the tangent-secant exterior angle theorem, the measure of the vertex angle formed at an external point where a tangent and a secant meet outside a circle is ½ of the difference between the intercepted major and minor arcs.
Applying this to the problem given, we have:
m<L = ½(Arc KN - Arc KM)
m<L = 70° (given)
Arc KN = ?
Arc KM = 61°
Substitute
70° = ½(Arc KN - 61°)
2*70° = Arc KN - 61°
140° = Arc KN - 61°
140° + 61° = Arc KN
201° = Arc KN
Arc KN = 201°
shop sells shirts. In
January they reduce the
price of all their £50 shirts
by 50%. In February they
decide to increase the price
of all their shirts by 50%. In
March they decide to
reduce the price of their
shirts by 50% again. What is
the cost of a shirt in March?
Find the total surface area.
Answer Options:
A. 422 in²
B. 517 in²
C. 554 in²
D. 638 in²
Answer:
D. 638 in^2
Step-by-step explanation:
total surface area is just the sum of areas of each side of the cube
opposite sides have the same area
top and bottom = 9*11
sides = 11*9
front and back = 11*11
SA = 2(9*11 + 11*9 + 11*11)
SA = 2(99 + 99 + 121)
SA = 2(319)
SA = 638 in^2
What is the function rule that represents the sentence y is 7 less than the product of 6 and x?
Answer:
y = 6x-7
Step-by-step explanation:
product of 6 and x
6x
7 less than the product of 6 and x
6x-7
y = 6x-7
Hi, just need help with this graph problem.
Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
what is the external angle of a polygon where the corresponding interior angle equals 105 degrees
Answer:
75 degrees maybe.......
Answer:
75 degrees
Step-by-step explanation:
the external angle is between the outside of one of the sides of the angle and the continued line of the second side of the angle.
and because it is measured against a line, where we have a total of 180 degrees for angles, we have
exterior angle = 180 - interval angle = 180-105 = 75
23. Insert the missing number.
4
6
9
14
23
40
?
138
266
Answer:
hey mate !!!
The pattern followed is
4x2-2= 8-2=6
6 x 2-3= 9
9 x 2- 4= 14
14 x 2-5 = 23
23 x 2-6= 40
40 x 2-7= 73
So, the next number will be 73.
Miguel withdrew $20 per week from his bank account for 4 weeks. Which expression shows the charge in his account balance?
a. -20 + 4
b. -20 - 4
c. -20 • 4
d. -20 / 4
(I think it’s C)
Please help me, this is due for tomorrow!
Answer:
C
Step-by-step explanation:
You are correct
*Per something means multiplication*
20 per 4 weeks = 20 × 4
Please help!!! Much appreciated!!
Answer:
C
Step-by-step explanation:
As n → ∞
[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0
Then
15 - 35 - 0 + 55 + 0 + 0
= - 20 + 55
= 35 → C
Please help me: -3/4(8h + 12) = 3(n - 3)
Answer:
n = 0
Step-by-step explanation:
[tex]-\frac{3}{4}(8n+12)=3(n-3)\\\\-6n-9=3n-9\\\\-9n-9=-9\\\\-9n=0\\\\ n=0[/tex]
Answer:
n = 0
Step-by-step explanation:
-3/4(8h + 12) = 3(n - 3)
-6h - 9 = 3n - 9
-6h - 3n = -9 + 9
-9n = 0
n = 0
what is value of y and x if 3x+2y=2 and 2x+3y=4
We need to form a system of equations:
3x + 2y = 2
2x + 3y = 4
Now, we can multiply the first equation by 2, and the second equation by 3, to even out the coefficients by the variables (to make them the same thing).
6x + 4y = 4
6x + 9y = 12
Next, we can subtract the second equation from the first. We get:
0x - 5y = -8
Then this becomes:
-5y = -8
÷-1 ÷-1
5y = 8
÷5 ÷5
y = 1.6
Substitute 1.6 for y in one of the equations:
2x + 3(1.6) = 4
2x + 4.6 = 4
2x = -0.6
÷2 ÷2
x = -0.3
Answer: [tex]\Large \boldsymbol{(-0,4 \ \ ; \ \ 1,6)}[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} - \left \{ {{3x+2y=2} \ \ |\times3\atop {2x+3y=4}\ \ |\times2} \right. => \\\\\\\ 9x-4x+6y\!\!\!\!\!\!\diagup-6y\!\!\!\!\!\!\diagup=6-8 \\\\5x=-2 \\\\x=-0,4 \ \ ; \ \ y=(2+1,2):2 =1,6[/tex]
You are responsible to provide tennis balls for a tournament. You know that a ball bounces like new when it is dropped and it bounces 82% of the previous height. Because of budget restriction for the tournament you need to test some used balls to make sure they bounce like new tennis balls. You drop a ball and it bounces multiple times; each bounce reaches 82% the height of the previous height. a. Is this sequence geometric or arithmetic
Answer:
arithmetic
Step-by-step explanation:
because it bounced double