Answers
Answer:
Solution 1: 1+1[tex]\sqrt{3}[/tex]
Solution 2: 1-[tex]1\sqrt{3}[/tex]
Step-by-step explanation:
x^2-2=2x
x^2-2x-2=0
Use quadratic equation.
(-b+-[tex]\sqrt{b^2-4ac}[/tex])/2a
(2+-[tex]\sqrt{(-2)^2-4*1*-2}[/tex])/2
(2+-[tex]\sqrt{(4+8})[/tex])/2
(2+-[tex]\sqrt{12}[/tex])/2
Solution 1: (2+2[tex]\sqrt{3}[/tex])/2=1+1[tex]\sqrt{3}[/tex]
Solution 2: 1-[tex]1\sqrt{3}[/tex]
Let's first move everything, the constants and variables to one side
[tex]x^2-2=2x[/tex] ⇒ [tex]x^2-2x-2=0[/tex]
The second form is in the general form of the quadratic equation:
⇒ [tex]ax^2+bx+c = 0[/tex]
a ⇒ 1b ⇒ -2c ⇒ -2To find the value of x, we can use the quadratic formula:
⇒ look at the diagram attached
[tex]x = \frac{-b-\sqrt{b^2-4ac} }{2a} =\frac{2-\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2-\sqrt{4+8} }{2} =\frac{2-\sqrt{12} }{2} =\frac{2-2\sqrt{3}}{2} =1-\sqrt{3}[/tex]
[tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} =\frac{2+\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2+\sqrt{4+8} }{2} =\frac{2+\sqrt{12} }{2} =\frac{2+2\sqrt{3}}{2} =1+\sqrt{3}[/tex]
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Answer
To answer the question, just answer in the order I solved it, because the question asks you to put the answer in ascending order which means from least to greatest.
Hope that helps!
Related Questions
The box-and-whisker plot below represents some data set. What percentage of the
data values are between 90 and 110?
HELP
Answers
Answer:
25 percent; each section of the box plot counts as 25%
The value of percentage of the data values are between 90 and 110 is,
⇒ 50%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The box-and-whisker plot below represents some data set.
Now, We get;
Range of data set = 130 - 90
= 40
Hence, The value of percentage of the data values are between 90 and 110 is,
⇒ (110 - 90)/40 x 100
⇒ 20/40 x 100
⇒ 50%
Thus, The value of percentage of the data values are between 90 and 110 is,
⇒ 50%
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-5, 10 ,-20 ,40 value b
Answers
Step-by-step explanation:
fold -2
40×(-2) = -80 ........
How many solutions are there to the equation below?
√x = -5
A. 2
OB. 1
OC. 0
OD. 25
Answers
A square root cannot be equl to a negative.
answer: C. 0
Ali and Keesha found a sale in a sporting goods store. Ali spent $33 on 2 pair of shorts and 3 packages of socks. Keesha spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?
Answers
Answer: shorts cost $12 and socks cost $3
Step-by-step explanation:
All four triangles are similar, and two of the triangles are also congruent to each other. Drag the correct unit side lengths and angle measures to te corresponding boxes. Note that some values may be approximate.
Answers
Answer:
Step-by-step explanation:
I get everything correct
1
What is the quotient of 6 and -1/2?
Answers
Answer:
The answer your looking for is 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i took the test
Write the equation of the line which passes through the point (6, 1) and
is perpendicular to the line y = 3x - 2:
Answers
Answer : Look at the right hand side of the page y = 1/3x + 3
Ashley has scored 81, 74, 72, and 93 on her previous four tests. What score does she need on her next test so that her average (mean) is 79?
Answers
Answer:
75
Step-by-step explanation:
Add 81, 74, 72, and 93 together
add 75 to that total
divide by 5
PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS
Answers
Answer:
radius and number rotation
An odd degree has no maximum or minimum. True or False?
Answers
Answer:
answer is false in my opinion not sure
Find the product write the product as a whole number or a mixed number 3/10 x 65
Answers
Answer:
[tex]19 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{3}{10} \times 65 = \frac{3}{10} \times \frac{65}{1} = \frac{195}{10} = 19.5 = 19 \tfrac{1}{2} [/tex]
The required simplified value of the given product is a mixed value 19 1/2.
Given that,
To determine the product write the product as a whole number or a mixed number 3/10 × 65.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3/10 × 65
= 195/10
= 19.5
=19 1/2
Thus, the required simplified value of the given product is mixed value 19 1/2.
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if x is a positive integer, what is the length of the hypotenuse triangle C?
Answers
Answer:
c = 12.73
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = [tex]\sqrt{162}[/tex]
c = 12.7279221
c = 12.73
Mark brainliest please!
-3(6-2)+|-4| Divided by 2
Answers
Answer:
-4
Step-by-step explanation:
3(6-2)+|-4| / 2
=-8/2
=-4
9) Farmer Joe has lots of rabbits and lots of predators on his farm. Only 3 out of every 10 rabbits live
long enough to reproduce. At this rate, how many rabbits will there need to be in order for 27 of them to
reproduce?
Answers
Step-by-step explanation:
you will need 10 for every 3 rabbits so if you count in tens and three's
3=10
6=20
9=30
and so on..
when you get to 27 you'll be at 90
27=90
hope u understand :>
Can you crack the code?
One number is
correct and placed
well
2
6
5
Nothing is right
3
8
7
One number is correct but wrongly placed
2
3
4
Two numbers are correct but wrongly placed
4
7
1
The numeric logic has a digit of
?
?
?
Answers
Answer:
1,2,4 is the correct answer
hope it'll help you out
What is the area of this shape?
Answers
Find area of a rectangle and then subtract 2 triangle shapes from the top.
12 x 13 = 156
1/2 x 3 x 7 = 10.5
1/2 x 4 x 6 = 12
area = 156 - 10.5 - 12 = 133.5 square units
Austin rented a truck for one day. There was a base fee of 14.95 and there was an additional charge of 95 cents for each mile driven. Austin had to pay 130.85 when he returned the truck. For how many miles did he drive the truck
Answers
Answer:
122 miles
Step-by-step explanation:
Let n = number of miles driven
Given:
Base fee = $14.95Charge per mile = $0.95Total cost = $130.85⇒ 14.95 + 0.95n = 130.85
Subtract 14.95 from both sides:
⇒ 0.95n = 115.90
Divide both sides by 0.95
⇒ n = 122
Therefore, he drove 122 miles.
How do I solve this on my calculator to get the radius?
Answers
Answer:
step by step lang Po keep learning
Find the volume of this shape. Show work and round to the nearest hundredth pls.
Answers
Answer:
V = 150.80 cu.ft.
Step-by-step explanation:
shape is a cone
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
[tex]r=8/2=4ft[/tex]
[tex]h=9ft[/tex]
Then:
[tex]V=\frac{1}{3} \pi (4)^{2} (9)=48\pi =150.80cu.ft[/tex]
Hope this helps
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Answers
The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².
What is the area?The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.
The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,
[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]
Substitute the dimensions we will get,
[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]
[tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]
Hence, the total surface area of this triangular prism is 1,782 cm².
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James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
How much more does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a mixed number in simplest form
Answers
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
What is dot plot or line plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
Note that the value of 1/4 is 0.25 which is less than the value of 1/2 which is 0.5.The value of 3/4 is 0.75.In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.
The difference between these values is,
[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]
Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
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I do not know how to do this! Please help me!
This figure is made of part of a circle and part of a square. What are the perimeter and the area of the figure? Use paper if it helps you with your thinking.
Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Perimeter of given figure is equal to :
Perimeter of square - side length + quarter Circumference of the circle
that is :
[tex]\qquad \sf \dashrightarrow \:(10 \times 4) - (5 + 5) + \dfrac{2 \pi r}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:40- 10 + \dfrac{3.14 \times 5}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30+ \dfrac{15.7}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30 + 7.85[/tex]
[tex]\qquad \sf \dashrightarrow \:37.85 \: \: units[/tex]
So, the required perimeter is 37.85 units
What is the area of this triangle? Please help
150 cm2
210 cm2
315 cm2
420 cm2
Answers
Answer:
[tex]B.210\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\Length\ of\ the\ base=35\ cm\\Length\ of\ the\ perpendicular\ dropped\ to\ the\ base=12\ cm\\We\ know\ that,\\Area\ of\ triangle=\frac{bh}{2}\\ Here,\\Area\ of\ triangle=\frac{12*35}{2}=6*35=210\ cm^2[/tex]
There are 20 train cars and 182 wheels how many wheels per car
Answers
To recheck answer we do 9.1x20 which gives us 182
Watch help video Given mn, find the value of x. (6x-3)⁰ (2x+13)°
Answers
Answer:
x = 4
Step-by-step explanation:
(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.
(6x - 3)° = (2x + 13)°
6x - 2x = 13 + 3
4x = 16
x = 4
Substitute x for the angles.
(6x - 3)° = ?
(6*4 - 3)° = ?
(24 - 3)° = 21°
(2x + 13)° = ?
(2*4 + 13)° = ?
(8 + 13)° = 21°
On the last day of each school year, the principal of a middle school records the number of students enrolled. In 2016, there were 960 students enrolled Excem 2016 to 2017, enrollment increased by 5%. From 2017 to 2018, enrollment decreased by approximately 5%. How many students were enrolled in the school at the end of 2018?
A) 864
B) 958
C) 960
D) 1,056
Answers
Answer:
D
Step-by-step explanation:
i hope you uderstand stand why it D
Solve for x: −2(x − 2)2 + 5 = 0 Round your answer to the nearest hundredth.
Answers
Answer:
x = 3.25
Step-by-step explanation:
-2(x - 2) * 2 + 5 = 0
Open parathesis
(-2x + 4) * 2 + 5 = 0
Open parenthesis again
-4x + 8 + 5 = 0
-4x + 13 = 0
-4x = -13
Divide -4 on both sides
x = 13/4
x = 3.25
Answer:
-4x+8+5=0
-4x=-13
4x=13
x= 13/4
x=3.25
Mr. Jone's algebra class has to manny students in it. If the class were split in equal parts to form 3 new classes, each class would have no more than 14 students in it
Answers
Answer:
42 students in total
Step-by-step explanation:
we could surmise that the question wishes to find the minimum number of students who had been in Mr. Jone's algebra class, so we let 'x' represent the original count of students in the class and we have the following inequality:
14 <= x/3
x >= 42
the class had no less than 42 students
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
Answers
Answer:
3lb 4oz and .5T=1000lbs
Step-by-step explanation:
1 lb = 16 oz 3×16=48 then +4 = 52 and 1T=2000lbs 2000 ÷ 2=1000
Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=
Answers
Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19