Rationalise the denominator. Simplify your answer fully. 22 /√ 15 + 2

Answers

Answer 1

Answer: [tex]\frac{22\sqrt{15}-44 }{11}[/tex]

Step-by-step explanation:

[tex]\frac{22}{\sqrt{15}+2 } *\frac{\sqrt{15}-2}{\sqrt{15}-2} =\frac{22\sqrt{15}-44 }{(\sqrt{15})^2-(2)^2 } =\frac{22\sqrt{15}-44 }{15-4} =\frac{22\sqrt{15}-44 }{11}[/tex]


Related Questions

Plz help me I don’t really understand this topic

Answers

Answer:

2/7, 7/13, 5/9, 10/11

Step-by-step explanation:

I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.

If this answer is correct, please make me Brainliest!

Answer:

From least to greatest, 2/7-7/13-5/9-10/11

Step-by-step explanation:

It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.  

7              5

___ and ___ so now you multiply the denominators together to get 117

13             9

so the fractions will become

7*9          5*13

___ and ___   and when u multiply them together you get 63 for 7/13 and 65

117            117

for 5/9, so 5/9 is bigger

Which point lies on the y-axis

Answers

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

Heather opened a lemonade stand in her street. It cost her $5.25 to buy the supplies each day,and she sells lemonade for &1.50 per cup. If she wants to make at least $100.00 in profits each day, what is the minimum number of cups of lemonade heather needs to sell?

Answers

Answer: 71 cups

Step-by-step explanation:

71 x 1.5 = 106.5 - 5.25 = 101.25

Which statement is correct?
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less than
or equal to 0.
O The domain and range of the graph are the same.
The range of the graph is all real numbers.

Answers

Answer:

The answer is D.

Step-by-step explanation:

You cannot have the range of a number in negative numbers. The range will always be in positive numbers, and the range will never be in a fraction.

The range of the graph is all real numbers.

Each domain and range are the set of all actual numbers. however, due to the fact, absolutely the fee is described as a distance from 0, the output can only be greater than or identical to zero. The domain is all real numbers since the horizontal extent of the graph is the complete real range line.

Why are the range all real numbers?

For any actual quantity, you may continually find a price that gives you that wide variety for the output. Except a linear function is a regular, together, there's no restriction at the range. The domain and range are all real numbers.

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3/10
There is a group of tourists going to a museum. The group
consists of several adults and one child. A ticket for an adult
costs 10 dollars and one for a child costs 5 dollars. If the cost of
all tickets came to a total of $125, how many adults are there in
this group?
adults

Answers

Answer:

12 adults

Step-by-step explanation:

If a child ticket costs 5 dollars

then 125-5=120

120 divided by 10(the cost of each ticket for an adult)

12

So there are 12 adults

Answer:

12 adults

Step-by-step explanation:

125 - 5 = 120 (this is subtracting the child from the equation)

120 / 10 = 12

is my answer correct? // im not really sure so I need help.

Answers

Answer:

I believe it is lol I'm sorry if Its wrong A just seems correct to me

Step-by-step explanation:

Theresa is comparing the graphs of y=2x and y=5x. Which statement is true?


The y-intercept of y=2x is (0, 2), and y-intercept of y=5x is (0, 5).


Both graphs have a y-intercept of (0, 1), and y=2x is steeper.


Both graphs have a y-intercept of (0, 1), and y=5x is steeper.


Neither graph has a y-intercept.

Answers

Answer:

Both graphs have a y-intercept at 0,1.  The y=2^x is steeper than y=5^x

Step-by-step explanation:

If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.

The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

What is the intercept of a line ?

The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.

Theresa is comparing graphs of y = 2x and y = 5x

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.

Let's check

which is y = 2x.

For x = 0 , y = 0

for x = 1 , y = 2

So , here y-intercept will be (0,2)

So , for both the values y - intercept exists for first function which is y = 2x.

Similarly, for y = 5x , there will be a y -intercept of (0,5).

Both graphs have a common y-intercept of (0, 1).

We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.

Here , y = 2x is more steeper than y = 5x.

Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

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what is the length of CD

Answers

Answer:

20 yds.

Step-by-step explanation:

From C to E 10 yds. so if you double that you get 20 yds.

Brainliest plz

Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression

Answers

Answer:

Step-by-step explanation:

x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4

                    = x²(x - 4) + 7(x - 4)

                    = (x - 4 )(x² + 7)

What is the answer to this?

Answers

Answer:

50 divided by 8 is 6.25 so unit rate is 6.25 per wands. The first one 4×6.25= 25 so it does not match the same price per wands, the second one 6×6.25=37.50 match up to the same price per wands, the third one 10×6.25=62.50 does not match up to the same price per wands.

What are all the numbers congruent to #1?

Answers

Answer: All angles are congruient to 1

Step-by-step explanation:

So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.

Answer: it is 90

Step-by-step explanation: so they are all congruent

Mike is grilling steaks for dinner. The grilling surface is shown below. Each steak requires approximately 0.25 square feet of the grill's surface. What is the maximum number of steaks that Mike can grill at the same time? 2.5 feet 2 feet 3.5 feet

Answers

Answer: 32 steaks

Step-by-step explanation:

Given data:

Each steak surface requirement = 0.25 square feet of the grill.

Maximum number of steaks mike can grill at

2.5 feet

2 feet and

3.5 feet

Solution.

At 2.5 feet

= 2.5 / 0.25

= 10 steaks

At 2 feet

= 2 / 0.25

= 8 steaks

At 3.5 feet

= 3.5 / 0.25

= 14 steaks

Total number of steaks

= 10 + 8 + 14

= 32 steaks

Julie earns $1800 each month and pays $450 a month for rent. What percent of her income goes toward her rent?

Answers

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

what is the median of the lower half of the data 5,8,10,1,7,6,15,8,6

Answers

I’m think it is the median

Answer: 8

Step-by-step explanation:

Order from least to greatest 1,5,6,6,7,8,8,10,15, and then find the number in the middle. The number in the middle is 8

ASAP. Look at the picture. Answer choices are: A) the spring has no stretch when a force of 1 pound is applied. B) the spring stretches a distance of 1 inch when a force of 0.73 pound is applied. C) the spring requires a force of 0.73 pound to stretch 0.73 inch. D) the spring has a length of 1 inch when no force is applied. E) the spring will stretch 1 inch for every pound of force applied. Please only answer if you are 100% correct. Have to get a good grade. Will Mark Brainliest​

Answers

Answer:

D) the spring has a length of 1 inch when no force is applied

The quotient of 40 and the product of a number and -8

Answers

Answer:

-5

Step-by-step explanation:

Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE

Answers

The answer is a hundred and sixty

Describe how ice-albedo feedback causes global warming

Answers

Ice-albedo feedback is a strong positive feedback in the climate system. Warmer temperatures melt persistent ice masses in high elevations and upper latitudes. Ice reflects some of the solar energy back to space because it is highly reflective.

making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19

Answers

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

Please help!!!


Which representations display nonlinear functions? Check all that apply.


On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (2, 1).

On a coordinate plane, a parabola opens up.

A 2-column table with 4 rows. Column 1 is labeled x with entries 20, 21, 22, 23. Column 2 is labeled y with entries negative 1, negative 1.5, negative 2, negative 2.5.

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 12, negative 11, negative 10, negative 9. Column 2 is labeled y with entries 7, 11, 14, 17.



Answers

Answer: its b and d

Step-by-step explanation: edge 2022

The answer would be options (B) and (D)

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

On a coordinate plane, a line with a negative slope goes through points (0, 1.5) and (2, 1)

So this is a linear function

On a coordinate plane, a parabola opens up.

Here this is a quadratic function, So this is a non-linear function

Hence, the answer would be options (B) and (D)

Learn more about parabola here:

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Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22

Answers

Answer:

C 11

Step-by-step explanation:

2y = 12 – 5x

Let x = -2

2y = 12 - 5(-2)

2y = 12 +10

2y = 22

Divide by 2

2y/2 = 22/2

y = 11

Answer:

C11 is the correct answer

Step-by-step explanation:

determine the intercept of the line​

Answers

Answer:

X intercept is (-8,0), Y intercept is (-6,0)

Step-by-step explanation:

The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).

Answer:

There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.

Step-by-step explanation:

please answer this i’ll give you 15 points

Answers

Answer:

B

Step-by-step explanation:

you round 33 to 30 and 87 to 90

Answer:

Well I think it's B.. Sorry for the late answer.

Step-by-step explanation:

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
writes the equation below to help him determine x, the additional amount that he needs to
save to have enough to buy the bicycle.
89.25 + 129.85 = 2
Does Victor's equation correctly model the problem? Click the arrows to choose an answer from
each menu
An equation that correctly represents this problem can show that the sum of the
Choose.
and the
Choose...
is equal
to the
Choose
The equation Choose...
models this situation correctly. Victor's equation is
Choose
WILL MARK BRAINLIEST

Answers

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

id probably use the second one

Answer:

yes i am doing this iready too lol this is right what the first person answered is correct

Step-by-step explanation:

A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
1 / 100
1 /12
11 / 100
12 / 100

Answers

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Answer:

1/100

Step-by-step explanation:

The box contains 100 cards numbered from 1-100

Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.

Hope it helps!

Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth. the radius is 1

Answers

Answer:

Find the volume of the sphere.  

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 1

Volume = [tex]\frac{4}{3} \pi[/tex]  or 4.19

Step-by-step explanation:

Given

Radius, r = 1

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

Where V = Volume and r = radius

By Substitution,

[tex]V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi[/tex]

Solving further to get the numerical value of volume;

We have to substitute 3.14 for π

[tex]V = \frac{4}{3} * 3.14V = 4.1866[/tex]

V = 4.19 to the nearest hundredth

Answer:

4.19

Step-by-step explanation:

what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK

Answers

Answer:

To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Step-by-step explanation:

Answer:

For a rectangle, you get the length and width and multiply them

For a Square, you have to find one side length and mulitply it by itself

or you can split the square with a diagonal into 2 triangles, get the area of each and add them up

or split the square in half and find the area of both rectangles and then add them together

Step-by-step explanation:

For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25

Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.

Answers

Answer:

C=5n

Step-by-step explanation:

A linear function

Directly proportional

Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2​

Answers

Answer:

Shift left 1 and down 2

Step-by-step explanation:

in the morning it takes father half an hour to dress, 15 minutes to eat breakfast, and 10 minutes to fix his lunch. if he starts at 7:00, what time will it be ready to leave to work?

Answers

Answer:

7:55

Step-by-step explanation:

30 for dressing added with 15 for eating , added with 10 to make lunch gives us 55 minutes.So 7:00 plus 55 minutes is our answer 7:55.

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