Make each denominator rational. In other words, rationalize the denominator.
A) (√11-1)/√11
B) (3 + √6 )/√6
Answers
The detailed answer is there in the image I have attached.
Hope it helps you....
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Related Questions
The wire is 25 feet long is stretched from the top of a flagpole to the ground at a point 15 feet from the base of the pole .how high is the flag pole
Answers
Answer:
20 feet
Step-by-step explanation:
Using Pythagoras rule:
25^2 - 15^2
625 - 225
400
√400 = 20 feet
Write the triangle congruence statement.
Answers
Answer:
If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent. SSS
Step-by-step explanation:
or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent. SAS
Would two successive 90° rotations counterclockwise about the origin result in the same image as a 180° rotation clockwise about the origin? Explain.
Answers
Answer:
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Step-by-step explanation:
um I need help with thissss
Answers
Answer:
its you again
Step-by-step explanation:
if they have the same amount of dashes on the same sided they are congruent
does that answer your question
if they have the same amount of dashes on the same sided they are congruent
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Answers
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.
Answers
Answer:
linear
Step-by-step explanation:
i need the solution to this problem pls!
Answers
Answer:
FE = 43.2
Step-by-step explanation:
FE/36 = 24/20
multply both sides by 36
FE = 24/20 * 36
FE = 43.2
Find an equation of the line that passes through the points (-2, 1) and (3, 3). Write your equation in either point-slope form, standard form, or slope-intercept form.
Answers
m=3-1/3+2=2/5
Equation of line in point slope. form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x-(-2))[/tex]
[tex]\\ \sf\longmapsto y-1=2/5(x+2)[/tex]
[tex]\\ \sf\longmapsto 5y-5=2x+4[/tex]
[tex]\\ \sf\longmapsto 2x-5y+9=0[/tex]
The equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
What is the slope of the line?The slope of a line is defined as the angle of the line.
Given that line passes through the points (-2, 1) and (3, 3)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = -2, y₁ = 1
x₂ = 3, y₂ = 3
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 1 = (3 - 1)/(3-(-2))[x -(-2)]
⇒ y - 1 = (2)/(5)[x+2]
⇒ y - 1 = 2/5(x -3)
⇒ y = (2/5)x - 6/5 + 1
⇒ y = (2/5)x - 1/5
Therefore, the equation of the line is y = (2/5)x - 1/5 which passes through the points (-2, 1) and (3, 3).
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Trinity already has $135 dollars in her savings account. If she puts $15 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $480 in her account.
Answers
Answer:
let x stand for number of weeks
135+15x>=480
x>=23
Step-by-step explanation:
subtract 135 on both sides
15x>=345
divide by 15 on both sides
x>=23 is your solution
Answer:10
Step-by-step explanation:
10
3(2x + 5) + 4(3x - 2)
Answers
Answer:
18x+7
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
6x+15 + 12x - 8.........distribute
18x+7..........................combine like terms
18x+7
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]3(2x + 5) + 4(3x - 2)[/tex]
You have to distribute:
[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]
[tex]=6x+15+12x+-8[/tex]
You must combine like terms:
[tex]=6x+15+12x+-8[/tex]
[tex]=(6x+12x)+(15+-8)[/tex]
[tex]=18x+7[/tex]
ANSWER:
[tex]=18x+7[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have? I have to use either the strategy of elimination or substitution to solve this. I realize that the first equation is m + d = 132. But I don’t get what the second equation should be!
Answers
Answer:
D+M=132?
Sorry if this is not helpful. I tried my best
Please.....................
Answers
Answer:
B
Step-by-step explanation:
choose the correct description of the system of equations. 3x-y=5 6x=2y+5 A.Consistent and independent B.Consistent and dependent C.Inconsistent D.Inconsistent and dependent
Answers
Answer:
C. inconsistent
Step-by-step explanation:
3x - y = 5 6x = 2y + 5 Solve for y
3x - 5 = y 6x - 5 = 2y
3x - 5 = y [tex]\frac{6x}{2} - \frac{5}{2} = \frac{2y}{2}[/tex]
3x - 5 = y 3x - 2.5 = y
Slope = 3 Slope = 3 Same slope
y-intercept: -5 y-intercept: 2.5 Different intercepts
not solution set
Find the equation of the line passing through the following : (-1;6) and (-3;0)
Please help...
Answers
Answer:
Step-by-step explanation:
[tex](x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3[/tex]
Equation of the line: y= mx +b
y = 3x + b
Substitute ((-1 , 6) in the above equation
6 = 3*(-1) + b
6 = -3+b
6 +3 = b
b = 9
y = 3x + 9
You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?
Answers
Answer:
105-15x=30
5 days
You can spend the amount of $15 a day for 5 days if you have $105 to take with you.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.
Let the number of days would be x
According to the given information, the required solution would be as
105 - 15x = 30
The above explicit formula represents the given scenario.
105 - 15x = 30
Rearrange the terms in the above equation,
15x = 105 - 30
Apply the subtraction operation,
15x = 75
x = 75/5
Apply the division operation,
x = 5
Therefore, you can spend the amount of $15 a day for 5 days.
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PLSSS HELP
Order the numbers from least to greatest
Answers
Answer:
It is the Last answer D
Step-by-step explanation:
because 15/2 is equal to 7 1/2
the square room of 64 is 8
and 8.1444444 is less than 8 1/7
Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)
Answers
The result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]
Given the following expressions
[tex]log_am=10\\log_an=25[/tex]
This can be expressed as
[tex]m =a^{10} \ and \ n = a^{25}[/tex]
Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:
[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]
This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex] is 60
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what is the value of x?
a)
[tex]2 \sqrt{10} [/tex]
b)
[tex]2 \sqrt{2} [/tex]
c)
[tex]2 \sqrt{5} [/tex]
d)
[tex]2 \sqrt{3} [/tex]
Answers
Answer:
A
Step-by-step explanation:
using pythagoras theorem
h²=p²+b²
If you guys know how to do this lemme know, thanks :))
Answers
Answer:
A 65
Step-by-step explanation:
x = -5
y = -8
-5 - 5 (-8)^2 / -5 = -325 / -5
= 65
Answer:
65
Step-by-step explanation:
So, this expression is asking us to solve an equation when x = -5 and y = -8.
When asked to solve problems like this, all we have to do is plug in the numbers accordingly
[tex]\frac{x-5y^2}{x} ---->\frac{(-5)-5(-8)^2}{(-5)}[/tex]
Now, we can simplify using PEMDAS
[tex]\frac{-5-5(64)}{-5} = \frac{-5-320}{-5} = \frac{-325}{-5} = 65[/tex]
Please correct me if i'm wrong :)
what is the x-intercept of a line that passes through the point (3,4) and has a slope of 2?
Answers
Answer:
(1,0)
Step-by-step explanation:
Hi there!
We want to find the x intercept of the line that passes through the point (3,4) and has a slope of 2
First, let's find the line
We are given both a slope, and a point. We can write the equation of the line in point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
We do have everything needed to write the equation, let's just label everything to avoid confusion:
m=2
[tex]x_1=3[/tex]
[tex]y_1[/tex]=4
Now substitute those values as the variables that they represent into the equation:
[tex]y-y_1=m(x-x_1)[/tex]
y-4=2(x-3)
Now we have the equation in slope-point form
The x intercept of the line is the value in which the line passes through the x axis. The value of y at this point is 0
So we can substitute y as 0 in the equation to find out the value of x:
y-4=2(x-3)
0-4=2(x-3)
Multiply
0-4=2x-6
Add 6 to both sides
0+2=2x
Simplify the left
2=2x
Divide both sides by 2
1=x
So the value of the x intercept is 1, also written as the point (1,0)
Hope this helps!
750[tex]\geq[/tex](12+x)(24+x)
Answers
Answer:
Step-by-step explanation:
Pls help me solve this
Answers
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
solving systems of equations in three variables
Answers
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
i need help finding the product but i have to simplify. it., -w(-2w^2-3w+1)
Answers
Answer:
I have simplified it to −
2 ^ 3 − 3 ^2 +
Step-by-step explanation:
[tex] \large\color{green}{ \tt{2w³ +3w² −w}}[/tex]
Step by Step Solution: Use the distributive property to multiply – w by – 2x – 3w + 1.
[tex] \large\color{green}{ \tt{−2(−w)w² −3(−w)w−}}[/tex]
Multiply −2 and −1 to get 2.[tex] \large\color{green}{ \tt{2ww² − 3(− w)w − w}}[/tex]
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.[tex] \large\color{green}{ \tt{2w³ − 3(−w)w − w}}[/tex]
Multiply −3 and −1 to get 3.[tex] \large\color{green}{ \tt{2w³ + 3ww − w}}[/tex]
Multiply w and w to get w².[tex] \large\color{green}{ \tt{2w³ + 3w² - w}}[/tex]
Hope It's Help
Having trouble using logarithmic differentiation!
Answers
Answer:
Having trouble using logarithmic differentiation!
3-(1/3) to the fourth power
Answers
Answer:
i dint know about you but i got 2.98765432099
Step-by-step explanation:
im not sure if in right though
If any doubt please comment what you need clarification on.
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The following machine doubles each input, subtracts 3, and then squares the result. (check photo) For example, if we input 5, then double 5 to get 10, subtract 3 to get 7, and finally square 7 to get 49.
-Write the expression that comes out of the machine if the input is 4.
Use ^ to express exponents. For example. 3² = 3^2
-If 121 is the output, what was the input?
Answers
Answer:
Step-by-step explanation:
what is the desimal for
Answers
Answer:
A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.
Answer:
Decimals are used to express the whole number and fraction together.
Step-by-step explanation:
The FAA tracks average flight delays. It found that, last year, a particular airline had an average flight delay of 20 minutes. So far this year, the airline has an average that is 45% shorter. What is the current year's average?
Answers
Answer:
11 minutes
Step-by-step explanation:
45% of 20 can be found by multiplying 20 and 0.45
which equals 9
so if the average delay was 20 but is now 9 minutes shorter then the current year's average is 11 minutes
The average delay in the current year is 11 minutes.
Given that, last year, a particular airline had an average flight delay of 20 minutes.
This year the airline has an average that is 45% shorter.
We need to find what is the current year's average.
What is average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Now, 45% of 20=45/100×20=9
So,20-9=11
Hence, the average delay in the current year is 11 minutes.
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Is this true or false? The following graph represents a proportional relationship: (1 point)
Answers
Answer:
where is the graph??
Step-by-step explanation:
i have no picture soooo like