Find the value of a' and 'b' if 2/ 7+3√5 =a-b√5​

Answers

Answer 1

Step-by-step explanation:

Grazie don't forget to follow narin po

Find The Value Of A' And 'b' If 2/ 7+35 =a-b5
Find The Value Of A' And 'b' If 2/ 7+35 =a-b5
Find The Value Of A' And 'b' If 2/ 7+35 =a-b5
Answer 2

Answer:

\(a=\frac{7}{2} \ \ ,\ \ \ b=\frac{3}{2}\)

Step-by-step explanation:

\(\frac{2}{7+3\sqrt{5} } =\frac{2\times \left( 7-3\sqrt{5} \right) }{\left( 7+3\sqrt{5} \right) \left( 7-3\sqrt{5} \right) }\)

         \(=\frac{2\times \left( 7-3\sqrt{5} \right) }{7^{2}-\left( 3\sqrt{5} \right)^2 }\)

         \(=\frac{2\times \left( 7-3\sqrt{5} \right) }{49-45 }\)

         \(=\frac{2\times \left( 7-3\sqrt{5} \right) }{4 }\)

         \(=\frac{7-3\sqrt{5} }{2 }\)

         \(=\frac{7}{2} -\frac{3}{2} \sqrt{5}\)

Then

a = 7/2

b = 3/2


Related Questions

HELP DUE IN A FEW HOURS


Pranav and Jaidee are selling flower bulbs for a school fundraiser. Customers can buy bags of
windflower bulbs and bags of daffodil bulbs. Pranav sold 9 bags of windflower bulbs and 9 bags
of daffodil bulbs for a total of $198. Jaidee sold 2 bags of windflower bulbs and 5 bags of
daffodil bulbs for a total of $86. Find the cost each of one bag of windflower bulbs and one bag
of daffodil bulbs.

Answers

Answer:

wildflower: $8

daffodil: $14

Step-by-step explanation:

9w + 9d = 198

2w + 5d = 86

         -18w - 18d = -396

(+)       18w + 45d = 774

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

                    27d = 378

d = 14

9w + 9(14) = 198

9w = 72

w = 8

wildflower: $8

daffodil: $14

x/2>-2 solve the inequality

Answers

X > -4




Hope this helped

The circumference of a circle is 2\piπ m. Find its radius, in meters.

Answers

Answer:

r≈0.32Step-by-step explanation: please give brainlest

which table represents y as a function of x

which table represents y as a function of x

Answers

The answer Is G. So go with G

Maribel was working at the fruit stand and had to find how much change to give a customer. The customer bought 11 oranges at $0. 65 each and paid with a $10 bill. Use c to represent the amount of change and choose the correct equation.

Answers

Answer:

A) 11(0.65)+c=10

Step-by-step explanation:

Step 1: Calculate the price of 11 oranges at $0.65 each.

11 × 0.65 = $7.15

Step 2: Consider the constraint: if Maribel only has a $10 bill, we have to deduct $7.15 from $10 to find our answer:

$10.00 - $7.15 = $2.85

Step 3: Write an equation based on our solution:

C = 10-0.65x ; Where:  

* 10- indicates that we start with $10, and subtract from there.
* C is the amount of change per purchase.
* X is the number of oranges a customer buys.

Answers:

1. The customer receives $2.85 in change.
2. Given a case where a customer pays with one 10-dollar bill, their purchase amount can be calculated with C = 10-0.65x

I hope this helped! Have a great day.

Which equation is equivalent to
4(2 - 5x) = 6 - 3(1 – 3 x) ?
(A) 8x = 5
(B) 8x=17
(C) 29x = 5
(D) 29x =1

Answers

answer:

C) 29x=5

reason:

first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
subtract 3 from both sides to get 5=29x
Answer:c is the correct answer

29x=5

Which equation is equivalent to4(2 - 5x) = 6 - 3(1 3 x) ?(A) 8x = 5(B) 8x=17(C) 29x = 5(D) 29x =1

NO LINKS PLEASE

what fraction is greater than 3/5 and less than 3/4 and has a denominator of 20?

Answers

Answer:13/20 and 14/20

Step-by-step explanation:

3/5=12/20 3/4=15/20

A sample of scores has mean of M 26, median of 28, and a mode of 29 What is the most Iikely shape for the sample distribution? a. Symmetrical b. positively skewed c. negatively skewed d. cannot be determined from the information given

Answers

The most likely mean for the sample distribution is option c. negatively skewed.

Based on the given information, we know that the mean (M) is less than both the median and the mode. This suggests that the distribution is skewed to the left (negatively skewed), with a long tail on the left side of the distribution.

The mean of a sample distribution is the average value of all the observations or measurements in the sample. It is calculated by adding up all the values in the sample and dividing the sum by the total number of observations in the sample.

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At the fast food restaurant, an order of fries costs $0.88 and a drink costs $1.03. how much would it cost to get 5 orders of fries and 4 drinks? how much would it cost to get ff orders of fries and dd drinks?

Answers

Answer: $8.52

$(0.88f+1.03d)

Step-by-step explanation:

a=cost of fries. b=cost of drink.

5a+4b=

5(0.88)+4(1.03)=

4.4+4.12=

4.40+4.12=$8.52

f=number of fries. d=number of drinks

fa+db=

0.88f+1.03d=$(0.88f+1.03d)

What’s 8 more then triple a number?

Answers

Answer:

x^3+8

Step-by-step explanation:

PLEASE somebody explain how to do this problem

x+2y=2

x-4y=14

Answers

You can use elimination
Subtract both equations
x + 2y = 2
x - 4y = 14
__________
6y = -12, y = -2
Plug in y = -2 in any equation
x + 2(-2) = 2
x - 4 = 2, x = 6

Solution: x = 6, y = -2
Or coordinate (6,-2)

claudia has $\frac{16}{3}$ gallons of paint, $\frac{3}{5}$ gallons of which is red. what fraction of claudia's paint is red?

Answers

The fraction 9/80 cannot be simplified further, so that is the final answer.

Claudia has a total of 16/3 gallons of paint, and 3/5 gallons of that amount is red. To determine the fraction of Claudia's paint that is red, we need to express the amount of red paint as a fraction of the total amount of paint.

Let's denote the fraction of red paint as r and the total amount of paint as p.

We know that the amount of red paint is 3/5 gallons, which can be expressed as r = 3/5.

The total amount of paint is 16/3 gallons, which can be expressed as p = 16/3.

To find the fraction of Claudia's paint that is red, we divide the amount of red paint by the total amount of paint:

Fraction of red paint = r/p = (3/5) / (16/3).

To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction:

Fraction of red paint = (3/5) * (3/16) = 9/80.

Therefore, the fraction of Claudia's paint that is red is 9/80.

It's important to note that fractions should be simplified if possible. In this case, the fraction 9/80 cannot be simplified further, so that is the final answer.

In conclusion, the fraction of Claudia's paint that is red is 9/80.

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ple help me pls help me​

ple help me pls help me

Answers

Answer:

64.25

Step-by-step explanation:

Subtract 145.25 from 209.5, resulting in 64.25.

solve 4a + 3 = 5a - 4

Answers

Answer:

To solve the equation 4a + 3 = 5a - 4, we want to isolate the variable "a" on one side of the equation.

First, we can simplify both sides of the equation by combining like terms:

4a + 3 = 5a - 4

Subtract 4a from both sides:

4a - 4a + 3 = 5a - 4a - 4

Simplify:

3 = a - 4

Next, we can add 4 to both sides of the equation to isolate "a" on one side:

3 + 4 = a - 4 + 4

Simplify:

7 = a

Therefore, the solution is a = 7

Which of the following best describes randomization, a principle of
experimental design?

Which of the following best describes randomization, a principle ofexperimental design?

Answers

The correct answer that best describes randomization, a principle of experimental design is D. A feature of an experiment designed to isolate the variable under observation

How to explain this

It aims to create a comparison group or condition that does not receive the intervention being studied, allowing researchers to assess the specific effect of the intervention.

By controlling for other variables, researchers can attribute any observed differences between groups to the intervention rather than external factors.

Control is achieved by creating a control group that closely resembles the experimental group in all aspects except for the variable being studied, minimizing the influence of confounding variables and increasing the internal validity of the experiment.

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I will mark you brainiest!!!

A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960

B - 65x - 55x = 960

C - 65x + 55(2) = 960

D - 65x + 55x = 960

E - 65(2) + 55x = 960

Answers

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

Solve the equation.
2/3-4x+7/2 = -9x5/6

If necessary:

Combine Terms


Apply properties:
Add
Subtract
Multiply
Divide
To start over:
Reset

Answers

Answer:

x = - 25/21

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

Solve the equation.2/3-4x+7/2 = -9x5/6If necessary:Combine TermsApply properties:AddSubtractMultiplyDivideTo

The solution to the equation 2/3 - 4x + 7/2 = -9x * 5/6 is x = 25/21.

To solve the equation: 2/3 - 4x + 7/2 = -9x * 5/6

Let's first combine like terms on the left side:

2/3 + 7/2 - 4x = -9x * 5/6

To add the fractions, we need a common denominator:

The common denominator for 3 and 2 is 6. So, we rewrite 2/3 as 4/6:

4/6 + 7/2 - 4x = -9x * 5/6

Now, we can add the fractions:

(4/6) + (7/2) = (8/12) + (42/12) = 50/12 = 25/6

The equation becomes:

25/6 - 4x = -9x * 5/6

Now, let's simplify further:

25/6 - 4x = -45x/6

To eliminate the fractions, we can multiply both sides by 6:

6 * (25/6 - 4x) = 6 * (-45x/6)

This simplifies to:

25 - 24x = -45x

Next, let's gather the x terms on one side of the equation:

-24x + 45x = 25

Combining the x terms:

21x = 25

Finally, solve for x by dividing both sides by 21:

x = 25/21

Therefore, the solution to the equation is x = 25/21.

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Henry wrote an ordered pair on an index card. (4, 8) The second number of any ordered pair indicates how far to travel in which direction a grid?

Answers

upward, the run then rise!! that’s how i always remembered it!

How do you solve angle addition postulate problems?

Answers

Answer:

Segment Addition Postulate

The segment addition postulate in geometry is applicable on a line segment containing three collinear points. The segment addition postulate states that if there are two given points on a line segment A and C, then point B lies on the same line segment somewhere between A and C only if the sum of AB and BC is equal to AC.

Segment Addition Postulate Definition

The segment addition postulate states that if a line segment has two endpoints, A and C, a third point B lies somewhere on the line segment AC if and only if this equation AB + BC = AC is satisfied. Look at the image given below to have a better understanding of this postulate.

Let g(x) = cot(2).
Find g
(6)
Choose 1 answer:
2
B
0
-2
D
1

Let g(x) = cot(2).Find g(6)Choose 1 answer:2B0-2D1

Answers

Answer:

C. -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Pre-Calculus

Unit Circle

Calculus

DerivativesDerivative NotationDerivative of cot(x) = -csc²(x)

Step-by-step explanation:

Step 1: Define

g(x) = cot(x)

g'(π/4) is x = π/4

Step 2: Differentiate

Differentiate:                    g'(x) = -csc²(x)

Step 3: Evaluate

Substitute in x:                    g'(π/4) = -csc²(π/4)Evaluate:                             g'(π/4) = -2

a park is in the shape of a regular hexagon 22 km on a side. starting at a corner, alice walks along the perimeter of the park for a distance of 55 km. how many kilometers is she from her starting point?

Answers

Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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find the explicit particular solution of the differential equation for the initial value provided. dy/dx = 9x^6 y-y1(y1) =-10

Answers

The explicit particular solution for the given differential equation is:
y(x) = (1/9)*e9x7 - 10/9

To solve this, we use the formula for the solution of a first order linear differential equation, with constant coefficients:
y(x) = erx * (c1 + c2x)

We substitute the given values:
r = 9x6
y(0) = -10
We find the constants c1 and c2 by applying the initial condition:
y(0) = e0 * (c1 + c2 * 0) = -10
Hence, c1 = -10, c2 = 0
We substitute c1 and c2 into the solution equation and get the explicit particular solution:

y(x) = (1/9) * e9x7 - 10/9

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Find the surface area of the figure. Hint: the surface area from the missing prism inside the prism must be ADDED!

Answers

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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One endpoint on GH is G(–7, 24). The midpoint is M(3, 4). Find the coordinates of the endpoint H. ( , )

Please help find endpoint H

Answers

Answer:

H (13, -16)

Step-by-step explanation:

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Given:

Endpoint (x₁, y₁) = G (-7, 24)Endpoint (x₂, y₂) = H Midpoint = M (3, 4)

Substitute the given endpoint G and midpoint M into the midpoint formula:

\(\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)\)

\(\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)\)

x-value of endpoint H:

\(\implies 3=\dfrac{x_H-7}{2}\)

\(\implies 6=x_H-7\)

\(\implies x_H=13\)

y-value of endpoint H:

\(\implies 4=\dfrac{y_H+24}{2}\)

\(\implies8=y_H+24\)

\(\implies y_H=-16\)

Therefore, the coordinates of endpoint H are:

(13, -16)

Answer: 13 -16

Step-by-step explanation: Edge 2023

Please answer the question on here, will give 100 points to brainliest

Please answer the question on here, will give 100 points to brainliest

Answers

Answer:

give him brainliest

Step-by-step explanation:

The equation y = -4X -1 Has a slope of _______ possible answer choices: -4,-1, no slope and 0) and a y-intercept of possible answer choices: -4, -1 0 and no y-intercept)_______?

Answers

Answer:

slope = - 4 , y- intercept = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x - 1 ← is in slope- intercept form

with slope m = - 4 and y- intercept c = - 1

Answer:

-4 then -1

Step-by-step explanation:

The number behind the x value is the gradient and the last number is the y - intercept.

Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages, which equation represents the number of pages Ben reads per minute? A m=34p B p=34m C p=m+43 D m=p+34

Answers

p=3/4m is the answer

The required proportional relationship is given a p = 3/4 m. Optio B is correct.

Given that,
Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

As here, in the question there is no mention of any kind of intercept thus the relationship explained is the proportionality relation between the number of pages P and the number of minutes m.
According to the question,
P ∝ M
P =Km - - - - - (1)
Put one ordered pair from the given,
6 = K 8
K = 3 / 4
Put K in equation 1.
P = 3 / 4 m

Thus, the required proportional relationship is given a p = 3/4 m.

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In AON networks, a(n) __________ is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.

Answers

In AON networks, "node" is a point where one or more lines (arrows) begin or terminate, commonly used for depicting an event or activity.

What is Activity-on-Node (AON) diagram?

Scheduling logic diagrams of the most fundamental kind. Any activity on the schedule that has no float; Total Float = 0; is considered a critical activity.

Between the project's start and finish, there are vital activity(s) that must be completed continuously. This is known as the critical path.

The importance of AON diagram are-

Because it helps identify the essential path, the arrow diagram is crucial for the project timeline. The critical route is used to determine the most effective schedule while still achieving the objectives required for a project to be successful. The critical path indicates the longest time of every dependent task.It is possible to organize tasks and determine not only when they must be finished but also which ones must be performed and which ones can be skipped while still reaching the project's goals and objectives by creating a schedule. An arrow diagram is essential because of this. It results in the project's ideal schedule.

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Y=91 if x is 4 what is y

Answers

Answer:

y=91

.........???????

calculate the solar flux density (also known as the solar constant) for mercury using the following information: solar luminosity = 3.865 x 10^26 w distance of mercury from the sun = 5.791 x 10^10 m

Answers

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

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