How do I solve this equation and check the solutions?
Answer:
10+√3=4x²
Step-by-step explanation:
Answer:
{12}
Step-by-step explanation:
isolate the radical expression
[tex]\sqrt{3x} = x-6[/tex]
raise both sides to the index of the radical in this case 2
[tex](\sqrt{3x} )^{2} = (x-6)^2[/tex]
[tex]3x = (x-6)^2[/tex]
foil the right hand side or multiply (x-6)(x-6)
[tex]3x = x^{2} -6x-6x+36[/tex]
subtract 3x from both sides and combine like terms
[tex]0=x^{2} -15x+36[/tex]
factor
[tex]0=(x-12)(x-3)[/tex]
set each factor equal to zero and solve for x
x - 12 = 0 and x - 3 = 0
x = 12 and x = 3
Check each answer by plugging them individually into the original equation if the come out true they are a solution.
Check :
[tex]\sqrt{3(12)}+10=12+4\\\sqrt{36}+10 = 8\\6+10 = 16\\16=16[/tex] [tex]\sqrt{3(3)}+10=3+4\\\sqrt{9}+10=7\\3+10=7\\13\neq 7[/tex]
So the only solution is 12.
What is the value of X
Answer:
10 degrees
Step-by-step explanation:
Wayne has 2 pet spiders. Each spider has 8 legs. What is the ratio of spiders to the total number of legs?
Answer:
2:8
Step-by-step explanation:
Answer: 2:8
but yeah its 2:8
HELP!!!plzzzzzzzzzzz!!!!!!!!!!!!!!
Answer:
m∠2 = 47°
Step-by-step explanation:
m∠1 + m∠2 = 90°
3x + 13 + 5x - 3 = 90
8x + 10 = 90 ⇒ x = 10
m∠2 = 47°
anyone know how to get rid of a chromebook firewall cuz im at my home and i just want to download some stuff
Answer:
you cant
Step-by-step explanation:
Answer:
...Oh lord... uh... well, use a website unblocker? Look up how to take it down? I don't have this issue because I am a hacker, but-- XD
Step-by-step explanation:
YEAH. Anyways.
Write a summary can Smartphones improve student lives? why or why not ( in your own words )
Answer:
Smartphones can imrove student lives by giving students the ability to contact their teachers to ask questions or comment on a specific work. they can also allow the student to look up answers and learn from what others think. Smartphones can also add distractions in class and allow an easy way to cheat on a test or a quiz. Overall Smartphones can be beneficial and harmful to a students life.
Step-by-step explanation:
Plz I need help before Friday November 13!!
I’ll mark brainiest for the first answer correct.
9514 1404 393
Answer:
(a) after 5 minutes: tower 1 -- 1550 gallons; tower 2 -- 670 gallons
(b) 1650-20m = 570+20m; m = 27 . . . minutes
Step-by-step explanation:
(a) At the rate of 20 gallons per minute, in 5 minutes the amount of water transferred will be ...
(20 gal/min)(5 min) = 100 gal
That is, Tower 1 will have 100 gallons less: 1650 -100 = 1550 gallons
and Tower 2 will have 100 gallons more: 570 +100 = 670 gallons.
__
(b) The quantity in tower 1 is ...
t1 = 1650 -20m
and the quantity in tower 2 is ...
t2 = 570 +20m
These will be equal when ...
t1 = t2
1650 -20m = 570 +20m . . . . . equation for finding m
1080 = 40m . . . . . . . add 20m-570
27 = m . . . . . . . divide by 40
The value of sin35∘ is equivalent to which value?
A. cos65∘
B. cos55∘
C. cos90∘
D. cos45∘
Answer:
B
Step-by-step explanation:
We can use the following co-function identity:
[tex]\sin(x)=\cos(90-x)[/tex]
Substuting 35 for x yields:
[tex]\sin(35)=\cos(90-35)[/tex]
Subtract:
[tex]\sin(35)=\cos(55)[/tex]
Hence, our answer is B.
In a company, 95% of the workers are men. If 125 people work for the company who aren't men , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
ill give you brainliesttttt
Based on the percentage of men workers in the company, the total number of workers is 2,500.
What is the percentage?The percentage is the fractional value of a variable concerning another.
Percentages are like ratios and proportions, which show the numerical relationship between the independent and dependent variables.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
If 5% of the workers are 125, the total number of workers, 100% = 2,500 (125/5% x 100%).
Check:
Men workers = 95% = 2,375
Non-men workers = 5% = 125
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
Learn more about percentages at brainly.com/question/24877689
The total number of workers in the company is 2,500.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In a company, 95% of the workers are men.
125 people work for the company who aren't men.
We need to find number of workers working in the company.
The percentage of men workers = 95%
The number of non-men workers = 125
The percentage of non-men workers = 5% (1 - 95%)
Men workers = 95% = 2,375
Non-men workers = 5% = 125
If 5% of the workers are 125
the total number of workers, 100% = 2,500 (125/5% x 100%).
Total = 2,500
Thus, given the percentage of men workers as 95%, the total number of workers in the company is 2,500.
Hence the total number of workers in the company is 2,500.
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ANOTHER MATH QUESTION, PLEASE HELP !
( WILL MARK BRAINLIEST !!!! )
Look I saw you post like a million of these. Functions are time consuming, especially rate of change, I suggest you ask a tutor!
WILL GIVE BRAINLY IST TO WHOEVER answers correctly and QUICK
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Enter your answers in the boxes to complete Lucinda's proof.
Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x,__).
In △KMN, the length of the base is ___ and the height is ___. So an expression for the area of △KMN is ___.
In △KLM, the length of the base is 3x and the height is 2y. So an expression for the area of △KLM is ___.
Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Answer: Do you have a picture or a diagram
Step-by-step explanation:
Not the answer but I need help .. it’s the same question but I’ve added the diagram if anyone can help?
x2 + 6x + 8 - (2x + 8)
Answer:
it simplify is [tex]x[/tex]²+4[tex]x[/tex]
Step-by-step explanation:
Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y
(x – 7) meters. Determine an algebraic expression that represents its area.
Once the expression is obtained, what are the measures of the terrain, so its
area is 195 m² ? What is the perimeter of the terrain?
Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
The perimeter of the terrain is 56 m²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The sides of a rectangular terrain are given by the expressions (x - 5) and
(x – 7) meters.
Given area of rectangle is 195 m²
Area of rectangle= (x - 5) (x - 7)
195=x(x-7)-5(x-7)
195=x²-7x-5x+35
195=x²-12x+35
x²-12x+35-195=0
x²-12x-160=0
x²-8x-20x-160 = 0
x (x+8)-20(x+8)=0
(x-20)(x+8)=0
x=20 and x=-8
Length x-5=20-5=15
x-7=20-7=13
So length is 15m and width is 13m
the perimeter of the terrain =2(Length + width)
=2(15+13)
=2(28)
=56 m²
Hence the perimeter of the terrain is 56 m²
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The measurement system used by most scientists and engineers known as the international System of
Units is represented by the two letters.
The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives
20.5 point, 5 years; the standard deviation is
3.9
3.93, point, 9 years.
Use the empirical rule
(
68
−
95
−
99.7
%
)
(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living less than
32.2
32.232, point, 2 years.
Answer:
3
Step-by-step explanation:
a) Describe the congruence shortcut (postulate/theorem) that could be used to prove that ΔABC≅ΔDEF
b) Explain which parts are congruent in this triangle that applies to the postulate that you chose (naming order matters).(HW)
Answer:
A. By the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
B. [tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
Step-by-step explanation:
a. From the diagram given, it shows that all three sides of ∆ABC are congruent to all the three corresponding sides of ∆DEF.
Therefore, by the Side-Side-Side (SSS) Congruence Theorem, ΔABC ≅ ΔDEF.
b. The sides that are congruent in the ∆s given that applies to the SSS Congruence Theorem are:
[tex] \overline{AB} \cong \overline{DE} [/tex]
[tex] \overline{BC} \cong \overline{EF} [/tex]
[tex] \overline{AC} \cong \overline{DF} [/tex]
HEELLPPP I WILL GIVE BRAINLIEST AND POINTS THANK YOU!!!This year, 450,000 animal lovers are expected to visit a zoo. By the end of February, only 0.064 of the expected number of visitors actually toured the zoo. How many visitors would have to come to the zoo in the months of March through December to fulfill the prediction for this year?
The correct answer is 421,200. How do I reach that answer?
x + 2x + 12y + 4 = ?
Answer:
3x +12y+4
Step-by-step explanation:
What is the slope of a line parallel to the line that passes through (4, -3) and (3, -1)?
Answer:
-2
Step-by-step explanation:
find rise over run with y1-y2/x1-x2 = -2/1 = -2
The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the first point be A ( x₁ , y₁ ) = A ( 4 , -3 )
Let the second point be B ( x₂ , y₂ ) = B ( 3 , -1 )
Now , the equation for the slope of the line is given by ,
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( -1 - ( -3 ) ) / ( 3 - 4 )
Slope m = 2 / -1
Slope m = -2
Hence , The slope m of the line passing through the points A ( 4 , -3 ) and B ( 3 , -1 ) is m = -2
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A bowl contains blueberries and strawberries. There are a total of 20 berries in the bowl. The ratio of blueberries to strawberries is 4 : 1. How many of each berry are in the bowl?
Answer:
4 strawberries
16 blueberries
Step-by-step explanation:
Given that:
Berries in bowl = strawberries and blueberries
Total number of berries = 20
Ratio of blueberries to strawberries = 4 : 1
Number of each berries in bowl:
Total ratio = (4 +1) = 5
Number of Blueberries :
(Ratio of blueberries / total ratio) * number of berries
(4/5) * 20
= 16 blueberries
Number of strawberries :
(Ratio of strawberries / total ratio) * number of berries
(1/5) * 20
= 4 strawberries
Investors buy a studio apartment for $120,000. Of this amount, they have a down payment of $12,000 . Their down payment is what percent of the purchase price? What percent of the purchase price would a $42,000 down payment be?
Answer:
The percentage for both the cases would be 100% and 35% respectively
Step-by-step explanation:
The computation of the percentage of down payment to the purchase price would be:
In the first case, the percentage would be
= Down payment ÷ Total amount
= $12,000 ÷ $120,000
= 100%
For the second case, the percentage would be
= Down payment ÷ Total amount
= $42,000 ÷ $120,000
= 35%
The percentage for both the cases would be 100% and 35% respectively
The equation w = 6m+4, relates how a dog's weight varies with age, where m represents its age in months, and the w represents its weight in pounds. How many months before the dog weighed 58 pounds?
Answer:
9 monthsStep-by-step explanation:
Given the relationship of the dogs weight ang its age modeled by the equation;
w = 6m+4
m represents its age in months, and;
w represents its weight in pounds
Given
w = 58pounds
Required
number of months m before the dog weigh 58pounds;
Substitute w = 58 into the function and get m as shown;
w = 6m + 4
58 = 6m + 4
subtract 4 from both sides
58-4 = 6m+4-4
54 = 6m
divide both sides by 6
54/6 = 6m/6
9 = m
m = 9
Hence it will take 9months before the dog will weigh 58 pounds
use the zero-exponent rule to simplify the expression:
-3^0+5^0-2^0-1^0
Answer:
-2
Step-by-step explanation:
There are 144 students in the school this year. One-quarter of the students have blue
eyes. One-sixth of the students have green/hazel eyes. Seven-twelfths of the students
have brown eyes. How many students have each of the three colours? SHOW ALL
OF YOUR WORK!
Answer:
Blue eyes = 36
green eyes= 24
brown eyes = 84
Step-by-step explanation:
144 divided by 4 is 36
144 divided by 6 is 24
144 divided by 12 is 12 and then multiplied by 7 is 84
hope this helps
Pls help me....3x+4+2x+6yb+9×+1
NEED HELP RIGHT NOW I'M AT SCHOOL PLSSSSS
Answer:6yb+14x+1 is it Simplify ok
Step-by-step explanation:
By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?
Answer:
18miles per day
Step-by-step explanation:
Just do 108/6
Which of the equations matches the line shown in the diagram?
A) y=-5/3x B) y=-5/3x-1 C) y=5/3x+1 D) y=5/3x-1/3
the correct answer it's equation D
Answer:
This is really easy: Its D) y=5/3x-1/3
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 7) and (2, -5)?
Write your answer in simplest form
Answer:-3
Step-by-step explanation:
can somebody help me
Which equation could represent Relationship A?
Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
y = 18.3x
y = 18x
y = 18.1x
y = 18.6x