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]
what is 5/9(fraction) turned into a decimal rounded to the nearest hundredth
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
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. ___________________
Answer:
A =25
b =35
c = 120
e = 310
When you square the square root of a number...
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
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`
Answer:
thx
Step-by-step explanation:
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?
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
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
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]
geometry, god bless ur help!
Answer:
15 CM
Step-by-step explanation:
Both sides are same length proven by the same angles making botrh sides 15 cm
What is the next term of the geometric sequence?
81 27
255
9.
whats the scale factor
Answer:
2 1/12
Hope that helps!
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Help please I don’t understand
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)
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
Answer:3
Step-by-step explanation:
please help as soon as popssible ill give thanks and brainliest
PLEASE HELP
factor 12n^2-n-20
How to transfer 800g to kg
Answer: The answer is 0.8
Step-by-step explanation: Every gram is 0.001 of a kilogram
Find the output, b, when the input, a, is 6.
b=17a
Plssss helppppp!!!!!!!!!
Answer:
it is two because one apple plus one apple equals two
it is 2
Solve the equation: -29.5u+548=2,023
Answer:
U=-50
Step-by-step explanation:
HELPPPPPPPPPP
The point (-10,4) is on the graph of which of these functions? Select ALL that apply.
===========================================================
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.
The square has an area of x^2-10x+25 what is the side length
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
Triangle ABC is reflected over the x-axis. What are the coordinates of the image of the vertex A?
There is 5 yellow 3 red 4 green 2 blue and 2 white what is the probability of picking white then green
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 gradient of the line segment between the points (-2,3) and (-4,-2).
Give your answer in its simplest form.
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].
Find the percent of the number. 38% of 22 is
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
Help !!!! I’m kinda confused
Find the slope of the line that passes through each pair of points (3,2) (8,12)
Answer:
The slope is 2
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
What is the surface area for the figure? PLEASE HELP
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)Help plssssss it due today
Answer:
C
Step-by-step explanation:
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
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: