Kindly help with this Surd question

Kindly Help With This Surd Question

Answers

Answer 1
Answer: 1/sqrt(2) + 1

Explanation:

(1 + sqrt(2))/sqrt(2)
= 1/sqrt(2) + sqrt(2)/sqrt(2)
= 1/sqrt(2) + 1
Answer 2

Answer:

Step-by-step explanation:

Rationalize the denominator, to do that multiply denominator and numerator by √2

[tex]\frac{1+\sqrt{2}}{\sqrt{2}}=\frac{(1+\sqrt{2})*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\ =\frac{1*\sqrt{2}+\sqrt{2}*\sqrt{2}}{\sqrt{2*2}}\\\\\\=\frac{\sqrt{2}+2}{2}\\\\\\[/tex]


Related Questions

What is the irrational number to the nearest hundedth of the square root of 32.​

Answers

Answer:

5.66

Step-by-step explanation:

it would round up to 5.66

whats the value of the expression3-⁴

Answers

Answer:

1/81

Step-by-step explanation:

3^-4 = -81

Put this in a fraction: 1/81

Hope this helps you!

Shelly is buying shoes online and computes that she has enough money to buy 5.91 pairs of shoes.
How many pairs of shoes can she buy?

Answers

Answer:

5

Step-by-step explanation:

This is because she cannot buy 5.91 pairs of shoes and she doesn't have enough money to buy exactly 6, so you must round it down to 5.

She can buy a maximum of 5 shoes with her money.

What is the reasoning?

The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.

In another word, reasoning is a tricky but interesting problem in mathematics that required relations of variables to solve.

Given that,

Shelly has money to buy 5.91 pairs of shoes.

Now,

Shoes are a whole quantity it will never come in fractions or decimals.

So,

We need to write 5.91 either 5 or 6

Now,

If we write it 6 then we do have not sufficient money but if we write 5 then we have money although some amount will be left still, she can buy 5 shoes.

Hence "She can buy a maximum of 5 shoes with her money".

For more about reasoning,

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A line segment starts at the point (2,3) and ends at the point (6,11). Find the equation of the perpendicular bisector of the segment. Demonstrate that your answer is correct. Your equation must be written in slope intercept form.​

Answers

1). Slope = (-2)

2). Midpoint = (2, -2)

3). Slope of the perpendicular bisector = (1/2)

4). Equation of perpendicular bisector will be x - 2y = 6

Step-by-step explanation:

A line segment has the endpoints at (4, -6) and (0, 2).

1). Then the slope of the given line segment will be = (y - y')/(x - x') = (2 + 6)/(0 - 4) = 8/(-4) = (-2)

2). Mid point of the line segment is given by

Therefore midpoints of the line segment will be  = (2, -2)

3). Slope of the perpendicular bisector is represented by

⇒ (-2)×m2 = (-1)

4). Now we have to find the equation of perpendicular bisector passing through (2, -2) and slope (1/2).

Since standard equation of the line will be given as y = mx + c

passes through (2, -2).

c = (-1) - 2 = -3

Finally the equation of perpendicular bisector will be

⇒ 2y = x - 6

⇒ 2y - x = -6

⇒ x - 2y = 6

What equation do you get when you solve a-q=a+sx for x?

Answers

Answer:

[tex]x=\frac{-q}{s}[/tex]

Step-by-step explanation:

[tex]a-q=a+sx\\a-a-q=a-a+sx\\-q=sx\\\frac{-q}{s}=\frac{sx}{s}\\x=\frac{-q}{s}[/tex]

Some 5th grade boys are playing with sugar cubes. Each sugar cube measures 1x1x1 cm. The box is 5 cm long,10 cm high and 12 cm wide. How many sugar cubes can fit in the box

Answers

Answer:

Number of sugar cubes  fit in box = 600 sugar cube

Step-by-step explanation:

Given:

Size of sugar cube = 1 x 1 x 1 cm

Size of box.

Length = 5 cm

Width = 12 cm

Height = 10

Find:

Number of sugar cubes  fit in box

Computation:

Volume of sugar cube = 1 x 1 x 1

Volume of sugar cube = 1 cm³

Volume of box  = 5 x 10 x 12

Volume of box  = 600 cm³

Number of sugar cubes  fit in box = Volume of box / Volume of sugar cube

Number of sugar cubes  fit in box = 600 / 1

Number of sugar cubes  fit in box = 600 sugar cube

Answer:

600

Step-by-step explanation:

volume of the cube a^3 = 1×1×1  = 1 cm^3

Volume of the box = 5×10×12 =600 cm^3

No. of the sugar cubes fit in the box = Volume of the box/ vol. of the cube

=600/1 =600

Given directed line segment QS , find the coordinates of R
such that the ratio of QR to RS is 3:5. Plot point R

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, what are the coordinates of point Q and R. But I would show how to solve this.

The location of a point O(x, y) which divides line segment AB in the ratio a:b with point A at ([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) is given by the formula:

[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1\\ \\y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

If point Q is at ([tex]x_1,y_1[/tex]) and S at ([tex]x_2,y_2[/tex])  and R(x, y) divides QS in the ratio QR to RS is 3:5, The coordinates of R is:

[tex]x=\frac{3}{3+5}(x_2-x_1)+x_1=\frac{3}{8}(x_2-x_1)+x_1\\ \\y=\frac{3}{3+5}(y_2-y_1)+y_1=\frac{3}{8}(y_2-y_1)+y_1[/tex]

Let us assume Q(−9,4) and S(7,−4)

[tex]x=\frac{3}{8}(7-(-9))+(-9)=\frac{3}{8}(16)-9=-3\\\\y=\frac{3}{8}(-4-4)+4=\frac{3}{8}(-8)+4=1[/tex]

Answer: It’s 2.6

Step-by-step explanation:

How do you find a square root of a number? PLease use 81 as an example.

Answers

You have to find the two number that you can multiply to get 81 but the answer is 9

Can someone help me with this problem

Answers

Increasing
Increasing
Decreasing
t=3
t=14
V=4
Answers:A) The graph of the function is increasing over the interval 0 < t < 3B) The graph of the function is increasing over the interval 14 < t < 18C) The graph of the function is decreasing over the interval 3 < t < 14D) The graph has a max value of V = 7 at t = 3E) The local min (V = 1) occurs when t = 14F) I'm not sure what your teacher is trying to say here. There isn't a local max or local min when t = 18. Seems like a typo. If you ignore the "local max" part and you're only wanting the value of V, then V = 4 here.

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

Explanation:

The graph goes uphill as you read from left to right over the interval 0 < t < 3. This means t is between 0 and 3. So the graph is increasing over this interval. The same applies for the interval 14 < t < 18 as well.

The graph goes downhill we we are between t = 3 and t = 14, so that's why the graph is decreasing on the interval 3 < t < 14.

The local min is the lowest point of the graph. For sine functions like this, they occur infinitely many often. But we're restricting to just one cycle (so to speak) and we only have one local min at (t, V) = (14, 1). So that explains the answer to part E. The answer to part D is similar but we're looking at the highest point this time at (3,7)

As for part F, it seems like your teacher made a typo because the graph is neither at the highest nor the lowest point when t = 18. The graph is right in the middle instead.

A store purchased a washing machine and marked it up 20% from the original cost of
$300. Then, wanting to make room for summer inventory, the store placed the washing
machine on sale for 75% off. What was the price after the discount?

Answers

Answer:

The answer is $270

Step-by-step explanation:

A triangle has side lengths of (1.4u+9.6)(1.4u+9.6) centimeters, (4.3u-9.9)(4.3u−9.9) centimeters, and (5.3v+1.8)(5.3v+1.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

5.7u+5.3v+1.5

Step-by-step explanation:

Given a triangle with side lengths s1, s2 and s3, the perimeter of the triangle in centimetre is expressed as the sum of all the sides of the triangle i.e

Perimeter of a triamgle = s1+s2+s3

Given the sides of the triangle in question as (1.4u+9.6) centimeters, (4.3u-9.9)centimeters, and (5.3v+1.8) centimeters, the perimeter of the triangle will be the sum of all the functions as shown;

Let s1 = (1.4u+9.6)cm

s2 = (4.3u-9.9)cm

s3 = (5.3v+1.8) cm

Perimeter of the triangle = 1.4u+9.6 + 4.3u-9.9 + 5.3v+1.8

collect like terms

P =  1.4u+ 4.3u+5.3v+9.6-9.9 +1.8

P = 5.7u+5.3v+1.5

Hence the expression that represents the perimeter of the triangle is 5.7u+5.3v+1.5

11\14 plus 2\7 and since it makes me write extra characters here u go

Answers

15/14 or 1 1/14
Just change 2/7 to 4/14 and add.
11 2 (2)
—- + —- —-
14 7 (2)

11 + 4
—- —-
14 14

15 1
—- 1—
14 or 14

Can you write a rule for finding the output (absolute guessing error) given the input (a guess)?

Answers

Answer:

The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]

Step-by-step explanation:

The coordinates when y = 0, x = 50

When y = 10, x = 60

Therefore, the slope = (10 - 0)/(60 - 50) = 1

The equation in slope and intercept form is y - 10 = 1 × (x - 60)

y = x -60 + 10 = x -50

y = x - 50

Also, we have

When y = 20, x = 30

y = 10, x = 40

Therefore, the slope = (10 - 20)/(40 - 30) = -1

The equation in slope and intercept form is y - 10 = -1 × (x - 40)

y = -x + 40 + 10

y = 50 - x

Therefore, when x < 50, y = 50 - x

When x > 50, y = x - 50

Which is equivalent to [tex]y = \left | x - 50 \right |[/tex]

The rule for the plotted line is [tex]y = \left | x - 50 \right |[/tex]


There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran miles.



1. How many feet is that

Answers

Answer: 5,280

Step-by-step explanation:

hello please help!! thank you<3

Answers

Answer:

112

Step-by-step explanation:

What type of number is 33/3?

Answers

Answer:

A Fraction

Step-by-step explanation:

33/3 is a fraction because it consists of a numerator and a denominator.

33/3 is a fraction.

Rachel states that -5.5 is an integer because it is negative. Is she correct. Why or why not?

Answers

Answer:

She is incorrect.

Step-by-step explanation:

She is incorrect.

An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.

Here are the integers:

..., -3, -2, -1, 0, 1, 2, 3, ...

-5.5 is not an integer.

Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.

Given,

Rachel states that -5.5 is an integer because it is negative.

We need to find out whether Rachel's statement is correct and give a reason.

What are integers?

Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......

It includes all whole numbers.

We have,

-5.5 is a negative rational number.

Integer has no decimal point.

-5.5 is not an integer.

Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.

Learn more about the difference between integers and rational numbers here:

https://brainly.com/question/13212492

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3/2(6x+4)=12 im dumb help me

Answers

Answer:

The correct answer is x = 2/3.

Step-by-step explanation:

To solve this problem, the first step I would take is multiply both sides by 2.  This will allow us to get rid of the fraction on the left side of the equation and make it easier to solve.  This is modeled below:

3/2(6x + 4) = 12

3(6x +4) = 24

Next, we can use the distributive property on the left side of the equation to get rid of the parentheses.

18x + 12 = 24

Then, we can subtract 12 from both sides of the equation.

18x = 12

Finally, we can divide both sides by 18 and simplify.

x = 12/18 = 2/3

Therefore, the correct answer is x =2/3.

Hope this helps!

What is the degree for this

Answers

Answer: linear/first degree

Step-by-step explanation:

 (6-t-t^4)+(9t+t^4)

=6-t-t^4+9t+t^4

=8t+6

The degree of a polynomial is determined by the highest degree in the polynomial. The highest degree in this binomial is one, which is first degree or known as linear.

Hope this helps!! :)

Please let me know if you have any question

4. Which step will solve the equation below for x? *
1 point
x2 = 64
Taking the square root of both sides of the equation
Taking the cube root of both sides of the equation
Dividing both sides of the equation by 2
Subtracting 2 from both sides of the equation

Answers

Answer:

D

Step-by-step explanation:

You should know this its not hard

I wish I could help but I can’t calculate the right answer

Match the name with the correct figure help please!!! ​

Answers

Answer:

B Is the right one that the answer

B is the correct answer. Just finished that quiz

Simplify the Radical Expression
3V2 - V8 +4V12+53

Answers

The answer is the other one V2+13

7.
Which point on the number line best represents the location of V92?
MN
Q
+
8
9
10
A. Point M
B. Point N
C. Point P
D. Point Q

Answers

Answer:

C

Step-by-step explanation:

Square root of 92 is 9.591663047

so round that to 9.59

0.7 rational or irrational

Answers

0.7 is Rational not irrational

Answer:

it is a rational number.

Step-by-step explanation:

It is read as seven tenths and is equivalent to the fraction 7/10. Since it can be written as a fraction, it is rational.

The cost of admission to a popular music concert was $122 for 11 children and 3 adults. The admission was $102 for 6 children and 4 adults in for another group. How much was the admission for each child and adult?

Answers

Answer:

Step-by-step explanation:

The quotient rule for exponents states that bm bn=​_______, b≠0 . When dividing exponential expressions with the same nonzero​ base, _______ the exponents.

Answers

Answer:

The quotient rule for exponents states that [tex]b^{m}\div b^{n}=b^{m-n}[/tex].

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

[tex]x^{0}=1[/tex] [tex](x^{m})^{n}=x^{mn}[/tex] [tex]x^{-n}=\frac{1}{x^{n}}[/tex] [tex]x^{m}\cdot x^{n}=x^{m+n}[/tex] [tex]\frac{x^{m}}{x^{n}}=x^{m-n}[/tex]

The quotient rule for exponents states that:

[tex]b^{m}\div b^{n}=b^{m-n}[/tex].

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

When dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Exponential functions in indices

According to the quotient law of indices

[tex]\frac{a^m}{a^n} = a^{m-n} [/tex]

Based on the law, you can see that the expoenented was subracted since the base are equal.

The same is applicable to [tex]\frac{b^m}{b^n} [/tex]. this can be expressed as [tex]b^{m-n}[/tex]. This shows that when dividing exponential expressions with the same nonzero​ base, subtract the exponents.

Learn more on quotient law of indices here: https://brainly.com/question/8952483

A shop buys a pair of shoes for $50. They sell them for $60. What is the mark–up on the shoes? in dollars

Answers

Answer:

the mark-up is $10 or 20% of the original price.

Step-by-step explanation:

This is because 60-50 is 10. And 20% or 1/5 of 50 is 10.

The lowest recorded temperature in a town was 4ºF, without the windchill. With the wind, the temperature felt like 10ºF below zero. On a number line, what is the distance between the two temperatures?

Answers

Given that the temperature of a town was 4ºF without the wind, and later 10ºF below zero with the wind, the distance between the two temperatures of the town on a number line is: 14 units.

The record of temperature of the town can be illustrated or plotted on a number line as shown in the diagram attached below.

The temperature of the town at 4ºF will be located 4 units away from point zero on the number line.

The temperature of the town at 10ºF below zero will be located 10 units away from point zero on the number line.

Thus the distance between these two temperatures will be:

4 units + 10 units = 14 units.

Therefore, given that the temperature of a town was 4ºF without the wind, and later 10ºF below zero with the wind, the distance between the two temperatures of the town on a number line is: 14 units.

Learn more here:

https://brainly.com/question/17843289

Y=4x-9
(3, )
Complete the missing value in the solution to the equation

Answers

hi! i think the answer is going to be y=3 because you already have the x value in your coordinate because (x,y). you should plug in the 3 because that’s your x value. you should get:

y=4(3)-9

solve for 4(3), which equals 12 and then subtract 9, which would give you y=3.

hope this helps!!

a point where a graph crosses the y axis is called a​

Answers

Answer:

y intercept

Step-by-step explanation:

The point in which the graph crosses the x-axis is called the x-intercept and the point in which the graph crosses the y-axis is called the y-intercept.

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