To rationalize the denominator of
[tex]5 - \sqrt{7} \div 9 - \sqrt{14} [/tex]
, you should multiply the expression by which fraction?
Answer choices:
[tex]5 + \sqrt{7} \div 9 - \sqrt{14} [/tex]
[tex]9 - \sqrt{14} \div 9 - \sqrt{14} [/tex]
[tex]9 + \sqrt{14} \div 9 + \sqrt{14} [/tex]
[tex]\sqrt{14} \div \sqrt{14} [/tex]

Answers

Answer 1

Answer:

option 3

Step-by-step explanation:

[tex]\frac{5- \sqrt{7} }{9-\sqrt{14} } = \frac{5- \sqrt{7} }{9-\sqrt{14} } \times \frac{9 + \sqrt{14} }{9 +\sqrt{14} }[/tex]

       

To rationalize the denominator choose the denominator and change the sign of the operation.


Related Questions

Ryan bought 7 kg of tomatoes for $15.40. What was the cost per kilogram?

Answers

Answer:

$2.20 per kilogram

Step-by-step explanation:

Take the total cost and divide by the number of kilograms

15.40/ 7

2.20

$2.20 per kilogram

Answer:

Step-by-step explanation:

I am not sure if this is corect but you need to devide 7 by 15.40

and that is my best estimate

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Answers

english please and i’ll try to help..

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One thousand represents three hundred fifty plus a number. Find the number.

Answers

One thousand represents three hundred fifty plus a number. So, the number will be 650.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

We have been given that

One thousand represents three hundred fifty plus a number.

Let the number be x, so

The expression will be as

1000 = 350 + x

x = 1000 - 350

x = 650

Learn more about the addition;

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+3x-4x what is the answer for this equation

Answers

Answer:

[tex]-x[/tex]

Step-by-step explanation:

[tex]3x-4x = -1x[/tex]

Hope this helps

D 1. If a > b, what can you say about the locations of a and b on the number line?
O a is to the left of b.
a and b are the same distance away from 0.
a is to the right of b.
There is not enough information given.

Answers

Answer:

a is to the right of b. On a number line the orientation has 0 as the starting number and counts on each whole number integer on to the eight. Therefore if a is greater than b, be will be toward the left and a will be toward the right.

what two numbers multiply to -78 and add to -7

Answers

546 Is The Answer

#KeepOnLearning

Answer:

13 and -6      or     6 and -13

Step-by-step explanation:

Use systems of equations

Solve the following inequality.
-5p<-16
Which graph shows the correct solution?
O
27 28 29 30 31 32 33 34 35 36 37
27 28 29 30 31 32 33 34 35 36 37
+ + + +
3 4 5 6 7 8 9 10 11 12 13
3 4 5 6 7 8 9 10 11 12 13

Answers

Answer:

p > 16/5

Step-by-step explanation:

-5p<-16

Divide each side by =5, remembering to flip the inequality

-5p/-5 > -16/5

p > 16/5

There is an open circle at 16/5 and the lines goes to the right

The piecewise defined function f(x) is graphed below. What is the value of f(5)?

Answers

Answer: Choice A.   f(5) = -1

================================================

Explanation:

Draw a vertical line through 5 on the x axis. This represents the equation x = 5. Notice that we intersect the blue line at (5,-1) which tells us that f(5) = -1. There's a closed point here, meaning that the point is included. This is in contrast to the open hole at (5,3) which is not part of the function. So be careful not to say that f(5) = 3 because that's not the case.

Answer:

i think it's f(5) - a wild guess

Step-by-step explanation:

the corresponding side length of two similar polygons are 6cm and 15cm if the area of smaller polygon is 32cm^2 then what is the area of the larger triangle?​

Answers

The answer is 2/4 because you subtract because

a factory packages contains 25,000 pounds of dry pet food in 500 bags. each bag contains the same amount of food. how much does the food in each bag weigh

Answers

Answer:

50 pounds.

Step-by-step explanation:

25000 / 500 = 50 pounds.

Answer:

50

Step-by-step explanation:

25,000 / 500 = 50

Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3

Answers

Answer:

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

Step-by-step explanation:

[tex]f(x)=x^5-3x^3[/tex]

[tex]0=x^5-3x^3[/tex]

[tex]x^5-3x^3=0[/tex]

[tex]x^3(x^2-3)=0[/tex]

[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

See the graph for a visual of the x-intercepts.

Please someone help me i'm struggling!

Answers

Answer:

y-value is direct variation

Step-by-step explanation:

Solve the equation for inverse and cross multiply.

Hello. Can anyone help me?

Type the correct answer in each box. The graph of a rational function is shown. Use the graph to approximate the key features. Enter coordinates as ordered pairs.

Answers

Answer:

horizontal asymptote : is 2

vertical : is -2

Y intercept: (0;2)

What is the first step in evaluating the expression (9 − 6 ÷ 2 × 5) 2+ 7?

A) 9 − 6
B) 6 ÷ 2
C) 2 × 5
D) 5 2

Answers

Answer:

B) 6 ÷ 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

We must follow BPEMDAS rules.

We first look at the parenthesis, and evaluate it left to right. In the parenthesis, the first order of higher operation would be division, hence B is our answer.

Find the nth term of the quadratic sequence

Answers

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

solve the inequality

14 > 0.6 x 14

Answers

The statement is always true .

Rujuan
If angle X and Y are complementary angles, which of the following must be true?
O sinX = siny
O cosx = cosY
O tanX = tany
O sinX = COSY

Answers

Answer:

Sin X=Cos Y

Step-by-step explanation:

Objective: Understand trigonometric relations such that

Cosine and Sine are similar to complementary angles that if X+Y are complementary angles,

Cos X= Sin Y and Cos Y= Sin X

The Thompson’s went out to eat at the Cheesecake Factory. If their bill was $68.65 and they gave their server a 15% tip, how much did they pay altogether?

Answers

Answer:

$78.94

Step-by-step explanation:

15% = 0.15

multiply to the total (68.65)

0.15 × 68.65 = 10.2975

$68.65 + 10.2975 = $78.94

MARK ME AS THE BRAINLIEST ANSWER PLEASE ❤️

Pls help I will mark u as brainliest

Answers

Answer: The line segments AB and EF are both equal

Answer:

The lines are both equal.

Step-by-step explanation:

AB and EF are the same lengths.

Is the product of -2x^3 + x - 5 and x^3 - 3x 4 equal to the product of x^3 - 3x - 4 and -2x^3 + x - 5? Explain your answer.

Answers

Step-by-step explanation:

hear is your answer in attachment

Measurement question please show work thank you

Answers

Answers:

b)  92100 decimeters

c)   6650 decaliters

=====================================================

Work Shown for part b)

1 decameter = 10 meters

1 decimeter = 1/10 of a meter

10 decimeters = 1 meter .... multiply both sides by 10

100 decimeters = 10 meters ... multiply both sides by 10

100 decimeter = 1 decameter

921*(100 decimeter) = 921*(1 decameter)

92100 decimeters = 921 decameters

-------------------

Work Shown for part c)

We could follow the same idea as part b). I'm going to use another approach as shown in the diagram below. This conversion method is known as the railroad tracks method in some math textbooks.

Each column represents two things that are equivalent to one another. For example, 1 kiloliter is the same as 1000 liters. So each column, when you divide top over bottom, represents the value 1.

Notice the unit cancelations as shown by the color coding. The goal is to have every unit cancel except for the decaliters unit which is what we want to end up with ultimately.

Once you have the railroad tracks set up, you multiply straight across.

Along the top, we have 66.5*1000*1 = 66500

Along the bottom we have 1*10 = 10

Divide those results: 66500/10 = 6650

So 66.5 kiloliters converts to 6650 decaliters

Answer:

1) 92100 dm

2) 6650 decalitres

a cyclist complete a race at an average speed of24 mph in one hour 15minutes.Calculate the distance

Answers

Answer:

30 miles

Step-by-step explanation:

i hope it wil help u

Find the value of x.

a
x = 104
b
x = 72.5
c
x = 166
d
x = 93.5

Answers

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

Which undefined term is used to define an angle?

line
plane
point
ray

Answers

The answer is point.

The undefined term is point.

What is an angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

Parts of an Angle

There are two main parts related to an angle - the arms and the vertex.

Arms of the Angle

The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.

[tex]vertex[/tex]of the angle

[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.

Measure of an angle

An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.

As, the is defined on the basis of arms , vertices, measurement.

They all related to point and point doesn't have a particular definition.

Learn more about angle here:

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What is 15/5 simplified?​

Answers

the simplified version would be 3/1

Answer:

3

Step-by-step explanation:

fractions are division, so if you divide the numerator by the denominator you'll always get the mixed number / whole number

so 3/4 is equal to 3 divided by 4

15 divided by 5 is 3, because 3 x 5 = 15

Evaluate 3x/10 if x= 180

Answers

Replace x with 180:

3(180)/10 =

540/10 =

54

Answer : 54

Answer:

54

Step-by-step explanation:

x = 18

Evaluate:

3 x / 10

put the value of x

3 × 180 / 10

540 / 10

54

Please help will award
Brainliest pls help it’s urgent

Answers

9 1/2 square units
Or 9.5 square units

Answer:

45 sq units im pretty sure

Step-by-step explanation:

hope this helps

HELPPP! Which answer.
A: It shows a positive correlation
B: It shows a negative correlation
C: It shows no correlation
D: As fouls increase, points decrease

Answers

Answer:

most likely C

Step-by-step explanation:

the overall shape the points make don't go in any particular direction other than sideways, so there doesn't seem to be a particular correlation

-[tex]- \frac{1}{5} xy -\frac{4}{5} xy[/tex]
paso por paso

Answers

Answer:

[tex]- \frac{1}{5} xy -\frac{4}{5} xy \\ = { \tt{( - \frac{1}{5} - \frac{4}{5} )xy }} \\ \\ = { \tt{ - xy}}[/tex]

Solve for u.
U/-1 +-4=-1
U =

Answers

Answer:

U = -3

Step-by-step explanation:

U/-1 +-4=-1

Add 4 to each side

U/-1 +-4+4=-1+4

U / -1 = 3

Multiply each side by -1

U / -1  * -1 = 3* -1

U = -3

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