Answers
Answer:
The answer is √5+√3+10+2√15
Answer: [tex]\sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]
Step-by-step explanation:
[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} }[/tex]
You need to multiply by the conjugate
To find the conjugate, first remember:
(a+b)(a-b) = a^2 - b^2 (if a and b are sqrts, this will eliminate the square roots, rationalizing the denominator)
You have √5 - √3 as the denominator
You should multiply by √5 + √3
(This will eliminate the sqrts)
Remember to multiply both the numerator and denominator
[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } = \frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}}[/tex]
Now simplify
[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}} = \frac{(2+4\sqrt{5})(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})} = \frac{2\sqrt{5}+2\sqrt{3}+20+4\sqrt{15}}{5-3} = \sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]
Related Questions
Alejandro bought 6 notebooks and 2 binders for $23.52. Cassie bought 3 notebooks and 4 binders for $25.53. What was the cost, in dollars, of 1 notebook?
Answers
Answer:
1 notebook $2.39
Step-by-step explanation:
n=notebook b= binder
6n +2b =23.52
3n +4b = 25.53
MULTIPLY THE FIRST BY -2 AND ADD BOTH
-12n -4b = -47.04
3n + 4b = 25.53
(b is eliminated since 4b -4b=0)
-9n = -21.51
9n = 21.51
n = 2.39
Help please I don’t understand
Answers
Answer:
x=0.75645 in radians
x=43.34175 in degrees
Step-by-step explanation:
cos(x)=8/11
Answer:
approximately 46.66
Step-by-step explanation:
label the following sides as 11=h and 8=o.
circle the missing angle x
remember SohCahToa
since you have h and o that means you are using (sin) on your calculator and since the angle is missing you do the inverse of sin multiplied by (8/11)
whats the scale factor
Answers
Answer:
2 1/12
Hope that helps!
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
What is the next term of the geometric sequence?
81 27
255
9.
Answers
F(n+1) = f(n) /3
HELPPPPPPPPPP
The point (-10,4) is on the graph of which of these functions? Select ALL that apply.
Answers
===========================================================
Explanation:
We'll plug x = -10 into each equation shown. If we get y = 4 as an output, then it is one of the answers.
------------------------------
A)
y = -x^2 + 6
y = -(-10)^2 + 6
y = -100 + 6
y = -94
We don't get y = 4, so we cross choice A off the list.
The point (-10,4) is not on y = -x^2+6. Instead, the point (-10,-94) is.
------------------------------
B)
y = (-1/2)*x - 1
y = (-1/2)*(-10) - 1
y = 5 - 1
y = 4
We can see that x = -10 leads to y = 4. The point (x,y) = (-10,4) is on the line. Choice B is one of the answers.
------------------------------
C)
y = (-1/10)*x - 3
y = (-1/10)*(-10) - 3
y = 1 - 3
y = -2
Choice C is not one of the answers since we want y = 4 as an output. So we can cross choice C off the list.
The point (-10,-2) is on the line instead of (-10,4)
------------------------------
D)
y = (1/10)x + 5
y = (1/10)*(-10) + 5
y = -1 + 5
y = 4
Choice D is one of the answers
------------------------------
E)
y = (1/5)*x^2 - 16
y = (1/5)*(-10)^2 - 16
y = (1/5)*(100) - 16
y = 20 - 16
y = 4
Choice E is one of the answers
------------------------------
An alternative method is to graph each equation and see if (-10,4) is on the curve or not. See the diagram below. Only choices B, D and E have (-10,4) on their respective curves.
Saved $500 from his summer job so he would have spending money during the school year. He withdraws $12 from his account each week so a linear function models his plan. Mellissa made a similar plan. Compare the transactions
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Savings = \$500[/tex]
[tex]Withdrawal = \$12[/tex] weekly
Required
The question is incomplete as the linear function or table or graph of Melissa's plan is not given.
The available details can only be used to solve the function of the given individual
Let the number of weeks be w.
So: the amount left in w weeks is:
[tex]Amount = Savings - Withdrawal * w[/tex]
[tex]Amount = 500- 12* w[/tex]
[tex]Amount = 500- 12w[/tex]
Represent as a function
[tex]f(w)= 500- 12w[/tex]
To solve the amount left at the end of a certain week (say week 5), simply substitute 5 for w in [tex]f(w)= 500- 12w[/tex]
[tex]f(5) = 500 - 12 * 5[/tex]
[tex]f(5) = 440[/tex]
PLEASE HELP WILL GIVE BRAINLIEST
Use characteristics of quadratic functions to graph = − 1 2 x 2 − 2 + 1
a) Identify the axis of symmetry. ___________________
b) Find the coordinates of the vertex. ___________________
c) Graph the function using the table below. Plot at least five points.
d) Identify the domain of the function. ___________________
e) Identify the range of the function. ___________________
Answers
Answer:
A =25
b =35
c = 120
e = 310
Help plssssss it due today
Answers
Answer:
C
Step-by-step explanation:
Find the percent of the number. 38% of 22 is
Answers
38% of 22 is 8.36
sjkbgdfbskxdbnc(answer too short)
Answer:
8.36
Step-by-step explanation:
22=%100
22x38=836
836/100=8.36
What is the surface area for the figure? PLEASE HELP
Answers
Answer:
516 cm squared
Step-by-step explanation:
To find the surface area of a rectangular prism such as this, is basically just like finding the OUTSIDE surfaces. We are looking for the "perimeter" of a 3D shape.
How do we do it?
Calculate each face of the prism by multiplying Length x Width.Make a shortcut by combining like-figures (front of the cube and back of the cube are the same surface areas, etc.)Make your formula2(4 · 15) + 2(10 · 15) + 2(12 · 4)geometry, god bless ur help!
Answers
Answer:
15 CM
Step-by-step explanation:
Both sides are same length proven by the same angles making botrh sides 15 cm
what is 5/9(fraction) turned into a decimal rounded to the nearest hundredth
Answers
Answer:
It will be 0.5 repeating so 0.555 because the 5 is repeating
9514 1404 393
Answer:
0.56
Step-by-step explanation:
5/9 is the repeating decimal fraction 0.55555...
Rounded to the nearest hundredth, it is ...
5/9 ≈ 0.56
How to transfer 800g to kg
Answers
Answer: The answer is 0.8
Step-by-step explanation: Every gram is 0.001 of a kilogram
If Noreen had let the water run for 2 minutes instead of half a minute, do you think she would still find that she used 320 cups of water during her 10-minute shower
Answers
Answer:3
Step-by-step explanation:
There is 5 yellow 3 red 4 green 2 blue and 2 white what is the probability of picking white then green
Answers
Answer:
2 (I think)
Step-by-step explanation:
4-2=2
Answer:
1/30
Step-by-step explanation:
the probability of picking white is 2/16 simplified to 1/8
the probability of picking a green would equal to 4/15
notice that it is not 4/16, because you already picked out one of the colours, and you are not replacing it, so if you take it out, then there is 15 left to pick from.
you would then multiply
1/8 x 4/15
= 4/120
simplified to
1/30
Find the output, b, when the input, a, is 6.
b=17a
Answers
Find the slope of the line that passes through each pair of points (3,2) (8,12)
Answers
Answer:
The slope is 2
PLEASE HELP
factor 12n^2-n-20
Answers
Answer :(4n+5)(3n-4)
Solve the equation: -29.5u+548=2,023
Answers
Answer:
U=-50
Step-by-step explanation:
The square has an area of x^2-10x+25 what is the side length
Answers
Answer:
(x-5)
Step-by-step explanation:
Factors to be (x-5)^2 so each side is (x-5)
Determine if the two triangles are congruent. If they are, state how you know.
AAS
SAS
HL
Not enough information
Answers
one class of 28 students has a ratio of 3 girls to 4 boys. if this ratio holds true for the entire 6th grade of 140 students, how many girls are there
Answers
Answer: 105 girls because the ratio from girls to boys is 3:4 and that means that 3/4 are girls so 3/4 times 140 is 105
Step-by-step explanation:
Find the gradient of the line segment between the points (-2,3) and (-4,-2).
Give your answer in its simplest form.
Answers
Given:
The two points are (-2,3) and (-4,-2).
To find:
The gradient of the line segment between the given points.
Solution:
The gradient is also known as slope.
The slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is
[tex]m=\dfrac{-2-3}{-4-(-2)}[/tex]
[tex]m=\dfrac{-5}{-4+2}[/tex]
[tex]m=\dfrac{-5}{-2}[/tex]
[tex]m=\dfrac{5}{2}[/tex]
Therefore, the gradient of the given line segment is [tex]m=\dfrac{5}{2}[/tex].
Plssss helppppp!!!!!!!!!
Answers
Answer:
it is two because one apple plus one apple equals two
it is 2
DUHH
hope this helped :))
Triangle ABC is reflected over the x-axis. What are the coordinates of the image of the vertex A?
Answers
Milton took an elevator to the top of the Empire State Building in New York City and decided to walk down the steps to the bottom level. The building is 103 levels tall, and it takes Milton exactly 5 seconds to make his way from one level to the next. The equation below shows the level (l) that Milton is on after s seconds. `l\ =\ -\frac{1}{5}s\ +\ 103`
Answers
Answer:
thx
Step-by-step explanation:
please help as soon as popssible ill give thanks and brainliest
Answers
Help !!!! I’m kinda confused
Answers
I have and a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths
Answers
First of all, relax and take a deep breath right before you start.
Alright, so algebraic word problems are tricky sometimes. I am glad I don’t have to do them much. Once you understand more or less what to do, you should be fine!
I would need an example problem if you have one.
If not, then remember that you have to work with what you know, which is what you can start with and what you need to end with.
For instance, a phone company sells phones at $900 each. For a family discount, after 2 phones are bought, each additional phone is $100 off.
Find an expression representing the phone company’s prices.
2*900 + (900x - 100x)
x represents how many additional phones were bought.
If a family bought 6 phones:
2*900 + (900x - 100x)
2 in front and 4 as x gives 6
That expression becomes
2*900 + [900(4) - 100(4)]
= $5000
I hope that helped!
When you square the square root of a number...
Answers
Answer:
the square root of a number is when you take a mole number and multiply it by itself in order to create a bigger number therefore some square roots would be 5 times 5 equals 25 therefore 5 is the square root of 25 so on and so forth