Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
x=2to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]
to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]
[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex][tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]
A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.
Answer:
y = 6 + x
Step-by-step explanation:
Membership fee = $6
Fee per visit = $1
Let
x = number of visits
y = Total cost
Total cost = fixed cost + variable cost
Fixed cost = Membership fee = $6
Variable cost = Fee per visit × number of visits
= $1 * x
= $x
Total cost = fixed cost + variable cost
y = $6 + $x
y = 6 + x
if 12x+8 is less than 6,what is the value of 8x
Rewrite the expression (z^1)^2 in the form z^n
On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)
The equation is C. y − 5 = −(x − 2)
The line equation is y − 5 = −(x − 2), and the correct option is C.
What is the equation of a Straight Line?The equation of a straight line is given by
y = mx +c
where m is the slope and c is the y-intercept.
The line goes through the points (1, -1) and (4, 2),
The slope of the line will be
m = (y'-y)/(x'-x)
m = ( 2+1)/(4-1) = 1
The product of the slope of the line and the line perpendicular to it is -1
So, the slope of the line perpendicular to the given line is -1.
The line passes through the point (2,5)
The point-slope form is
(y-y') = m(x-x')
so, the equation will be
y − 5 = −(x − 2)
Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.
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6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número 4.956 puede escribirse como: 7. Fernando tiene 12 cuadrados de cartulina y Catalina tiene 16. Si ambos disponen sus cuadrados uno aliado del otro, ¿cuál de los dos niños puede formar un cuadrado? 8. Escriba las siguientes cifras como notación científica. Número: Notación científica: 45000000 0,000000000000056 0,000000000034
Answer:
6. Miles [tex]{}[/tex] cientos decenas unidades
4 [tex]{}[/tex] 9 5 6
7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones
8. 45000000 = 4.5 × 10⁶
0.000000000000056 = 5.6 × 10¹⁴
0.000000000034 = 3.4 × 10¹¹
Step-by-step explanation:
6. Los valores posicionales de dígitos son;
Miles [tex]{}[/tex] cientos decenas unidades
4 [tex]{}[/tex] 9 5 6
7. El número de cuadrados que tiene Fernando = 12
El número de cuadrados que tiene Catalina = 16
El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;
largo × ancho = Área del cuadrado
largo = ancho = lado del cuadrado
Lado del cuadrado × Lado del cuadrado = Área del cuadrado
(Lado del cuadrado) ² = Área del cuadrado
Lado del cuadrado = √ (Área del cuadrado)
Para Fernando, Área del cuadrado = 12
Lado del cuadrado para Fernando = √12 = 2 · √3 cartones
Para Catalina, Área del cuadrado = 16
Lado del cuadrado para Catalina = √16 = 4 cartones
Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones
8. 45000000 = 4.5 × 10⁶
0.000000000000056 = 5.6 × 10¹⁴
0.000000000034 = 3.4 × 10¹¹
6(2x+4) plzzzzzzz I need help
Answer:
12x+24
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Simplifying
6(2x + 4) = 0
Reorder the terms:
6(4 + 2x) = 0
(4 * 6 + 2x * 6) = 0
(24 + 12x) = 0
Solving
24 + 12x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + 12x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + 12x = 0 + -24
12x = 0 + -24
Combine like terms: 0 + -24 = -24
12x = -24
Divide each side by '12'.
x = -2
Simplifying
x = -2
pls help easy middle school math
Answer:
Step-by-step explanation:
Question 2 is 3
Question 3 is 10^16
Question 4 is 1/3^5
Question 5 is r^m-n
Answer:
2. 2) x = 3
3. 3) 10^16
4. 2) 1/3^5
5. 1) R = m-n
Step-by-step explanation:
2 and 3 rules. (A^n)^m = A mxn
4 rules. m + n then flip the fraction till it looks like 1/3^d
5 rules. r^m divided by r^n = R m-n
18 Which expression uses the greatest common factor and distributive property to write 18 + 24 as a product?
Answer:
48
Step-by-step explanation:
8
What is the equation of the graphed line written in
standard form?
2x + 3y = -6
2x + 3y = 6
Y=-2/3x-2
Y=2/3x-2
We can see that the y-intercept of the line is [tex]-2[/tex] and its slope is [tex]-\frac{2}{3}\\[/tex] since to get from [tex](-3,0)[/tex] to [tex](0,-2)[/tex] we have to run by [tex]3[/tex] units to the right and rise by [tex]2[/tex] units down. The the equation of your line in slope-intercept form is [tex]y = -\frac{2}{3}x -2\\[/tex]. All we have to do now is to rewrite it in standard form.
[tex]y = -\frac{2}{3}x -2\\ 3(y) = (-\frac{2}{3}x -2)3 \\ 3y = -2x -6 \\ 2x +3y = -2x -6 +2x \\ 2x +3y = -6 [/tex]
Answer:[tex]2x +3y = -6[/tex]
What is the maximum number of student tickets that can
be sold if the drama club meets its sales goal?
40
The members of the drama club have 100 tickets to sell
to the school play. Students pay $5 per ticket, and
nonstudents pay $10 per ticket. The drama club needs
to collect at least $800 in total ticket sales. The system
of inequalities represents the number of student tickets,
s, and the number of nonstudent tickets, n, the members
must sell.
60
80
100
Suns 100
5s + 10n 2 800
Answer:
The Drama Club scan sell all 100 student tickets at max if they reach their goal of $800.
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
E2020
Suppose scores on exams in statistics are normally distributed with an unknown population mean. A sample of 26 scores is given below. Use Excel to find a 90% confidence interval for the true mean of statistics exam scores. Round your answers to one decimal place and use increasing order.
Answer:
Step-by-step explanation:
Using the formula for calculating confidence interval
CI = xbar±z×S/√n
xbar is the mean of the sample
z is the z score at 90% = 1.645
S is the standard deviation of the score
n is the sample size = 26
Since we are not given the scores, we can assume the values of our mean and standard Deviation
Let xbar = 38
S = 3.0
Substitute the given values into the formula
CI = 38±(1.645×3.0/√26)
CI = 38±(1.645×3.0/5.099)
CI = 38±(1.645×0.5884)
CI = 38±0.9678
CI = (38-0.9678, 38+0.9678)
CI = (38.0322, 38.9678)
CI = (38.0, 38.9)
Hence the 90% confidence interval for the true mean of statistics exam scores is 38.0≤p≤38.9
Note that the we will need to generate the mean and standard deviation from the data but since we are not given the required data, we had to assume the value we used in calculation.
25 POINTS what is the domain of the quadratic function graphed below?
a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)
Answer:
A or D i tink
Step-by-step explanation:
becuz i tink b and c is not to me
Answer: (a) all real numbers
Step-by-step explanation:
The arrows mean that the line continues for infinity, so the x continues to change for infinity.
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
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Best representation of 5 7/3
Answer:what it is
Step-by-step explanation:
What is the opposite of negative 21 or -21
Answer:
21
Step-by-step explanation:
thats the opposite of negative 21
Answer:
positive 21
Step-by-step explanation:
Simply the expression below .
8+ ( 15 - 3 ) + 4
help please .
Answer:
24
Step-by-step explanation:
8+ ( 15 - 3 ) + 4
8+12+4
20+4
24
The admission fee to an amusement park is $18. It costs an additional c dollars to rent a locker to hold your belongings. The total cost for 2 people to enter the amusement park and each rent a locker is $46. How much does it cost for one person to rent a locker?
Answer:
$5 for one person to rent a locker
Step-by-step explanation:
Assuming the $18 is for one person, then two people it would be $36, since $18 + $18 = $36 and it's stated there's two people. If you subtract $36 from $46 you get $10, and since it's for two people you split it in half (so basically divide by 2) you get $5 for a locker.
Hope this helps!
Find the unit rate: $23.96 for 4 pounds
Answer:
5.99 dollars per pound
Step-by-step explanation:
Convert to a decimal by dividing the numerator by the denominator.
Find the value of x.
Answer:
sdf
Step-by-step explanation:
sdff
For the first one, 132 and 4 + x make a straight line, and a straight line is 180 degrees, so:
132 + 4 + x = 180
Add 132 and 4.
136 + x = 180
Subtract 136.
x = 44
You are right!
For the second one, 68 + x + 9 form a right angle, and a right angle is 90 degrees, so:
68 + x + 9 = 90
Combine 68 and 9.
77 + x = 90
Subtract 77.
x = 13
Hope this helps
what is the slope of this line?
Answer:
slope is 1/4
Step-by-step explanation:
Use rise over run
The slope of the line will be equal to 1/4.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.
The formula to calculate the slope of the line is given as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (8 - 6 ) / ( 8 - 0)
Slope = 2 / 8
Slope = 1 / 4
Therefore, the slope of the line will be equal to 1/4.
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Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.
Answer:
8
Step-by-step explanation:
Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.
Heeeeeeeeelp plssssssssss
Answer:
26 notches would be made.
Answer:
c) 26
Step-by-step explanation:
If I am understanding the question correctly it's just asking how many notches there will be on a certain length of metal and so in order to find it, you would just divide 6 1/2 by 1/4, also written as 6.5 divided by 0.25, to get 26.
Use the diagram below to find the measure of each angle. If you cannot see the
diagram below, it is also in your book on page 59. As you write your answer,
write the number and type the word degrees after.
A
E
B
С
50°
D
m
m
m
A taxi service charges $1.00 for the first mile then $0.10 for each additional mile after that. How much would you pay for having the taxi drive you 2 MILES?
Answer:
$1.10
Step-by-step explanation:
In an equation, this would be written as follows (where y equals the total price and x is the number of miles driven):
[tex]y = 0.10(x-1) + 1.00[/tex]
Therefore:
[tex]y=0.10(2-1)+1.00[/tex]
[tex]y= 0.10(1)+1.00[/tex]
[tex]y=0.10+1.00[/tex]
[tex]y=1.10[/tex]
y = $1.10
yall i need this answerd asap plz help
Answer:
B
Hope this helped ;)
the ratio of milk and water in a tank quantity 3:2 if molk is 600 gm the find tje quantity of water
Answer:
220 should be the answer.
Step-by-step explanation:
Which shows a set of three equivalent decimals?
1.9, 1.90, 1.900
1.9, 1.90, 1.090
1.9, 0.19 0.190
O 1.9, 1.09, 1.009
The best choice is A)
when you add a zero, it does not count on a decimal, so,
1.9, 1.90, 1.900.
Answer:
the answer is a
Step-by-step explanation:
You can ignore a and b but can someone help me with c and d plz :)
Answer:
(below)
Step-by-step explanation:
c) the angles are in the interior on the same side of the transversal, making them supplementary
equation: 2x + 20 + 120=180 and then when solved you would get x =20
d) the angles are corresponding, which makes them congruent
equation: 3x + 10 = 100 and then when solved you would get x = 30
Write an expression that is equivalent to three over five (3y + 15). (4 points)
A three over five y + 9
B three over five y + 15
C nine over five y + 9
D nine over five y + 15
HELP ASAP
Answer:
The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C
Step-by-step explanation:
Let us solve the question
∵ Three over five means [tex]\frac{3}{5}[/tex]
∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)
→ By using the distributive property, multiply each term inside the
bracket by three over 5
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)
→ Multiply three over five by 3y
∵ [tex]\frac{3}{5}[/tex] (3y) = [tex]\frac{3(3)}{5}[/tex] (y) = [tex]\frac{9}{5}[/tex] y
→ Multiply three over five by 15
∵ [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{3(15)}{5}[/tex] = [tex]\frac{45}{5}[/tex] = 9
∴ [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9
∴ [tex]\frac{3}{5}[/tex] (3y + 15) = [tex]\frac{9}{5}[/tex] y + 9
∴ The equivalent to three over five (3y + 15) is [tex]\frac{9}{5}[/tex] y + 9
c please give 4 stars :)
I'm doing a worksheet about dividing fractions and I dont understand it. it's asking me to estimate and then write the quotient in simplest form. the problems are 1.) 1/2 ÷ 1/4. 2.) 4/5 ÷ 2/3. 3.) 14/15 ÷ 7. 4.) 8÷ 1/3. 5.) 12/21 ÷ 2/3. 6.) 5/6 ÷ 5/12. 7.) 5/8 ÷ 1/2.
can anyone help me?
1. answer: 2
2. answer: 1 and 1/5
3. answer: 2/15
4. answer: 24
5. answer: 6/7
6. answer: 2
7. answer: 1 and 1/4
Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes _________.
For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.