Maths-
General
Easy

Question

If 2square root of 2 straight x end root = a, what is 2x in terms of a ?

  1. straight a over 2
  2. straight a squared over 4
  3. straight a squared over 2
  4. 4a2

The correct answer is: straight a squared over 4


    HINT: Square on both the sides and get 2x in terms of a
    Complete step by step solution:
    Given equation is 2 square root of 2 straight x end root = a.
    On squaring both the sides, we get left parenthesis 2 space square root of 2 straight x end root right parenthesis squared space equals space straight a squared
    Thus it becomes 4(2x) = a2
    On dividing both the sides by 4, we get 2x = straight a squared over 4.
    Thus we got 2x in terms of a to be straight a squared over 4.
    Hence option B is the correct answer

    Related Questions to study

    General
    Maths-

    During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
    (Note: 1,013mb = 760 mmHg )

    During a storm, the atmospheric pressure in a certain location fell at a constant rate of 3.4 millibars (mb) per hour over a 24-hour time period. Which of the following is closest to the total drop in atmospheric pressure, in millimeters of mercury (mmHg), over the course of 5 hours during the 24-hour time period?
    (Note: 1,013mb = 760 mmHg )

    Maths-General
    General
    Maths-

    Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation?

    Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation?

    Maths-General
    General
    Maths-


    Tara rode her bicycle along a straight road from her home to a restaurant and ate lunch. She then continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?

    The connection length between the two points of the line segment is used to measure the distance between them. The length of the line segment, the shortest distance between a point and a line, is the separation between them.
    ¶The path length between two points is known as the distance. The meter serves as the SI unit for distance.
    ¶A scalar quantity, distance. The entire path of an object has taken to define distance. An illustration. If a turn is taken to head north for an additional 8 km, a car must travel a total of 13 km if it travels east for 5 km first.


    Tara rode her bicycle along a straight road from her home to a restaurant and ate lunch. She then continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?

    Maths-General

    The connection length between the two points of the line segment is used to measure the distance between them. The length of the line segment, the shortest distance between a point and a line, is the separation between them.
    ¶The path length between two points is known as the distance. The meter serves as the SI unit for distance.
    ¶A scalar quantity, distance. The entire path of an object has taken to define distance. An illustration. If a turn is taken to head north for an additional 8 km, a car must travel a total of 13 km if it travels east for 5 km first.

    parallel
    General
    Maths-

    A greenhouse owner purchases fertilizer in 60-gallon drums. The fertilizer is mixed with water to make several batches of solution. Each batch of solution is made by mixing 3 quarts of fertilizer with water. What is the maximum number of batches of solution that can be made from one 60 -gallon drum of fertilizer? (1 gallon = 4 quarts)

    A greenhouse owner purchases fertilizer in 60-gallon drums. The fertilizer is mixed with water to make several batches of solution. Each batch of solution is made by mixing 3 quarts of fertilizer with water. What is the maximum number of batches of solution that can be made from one 60 -gallon drum of fertilizer? (1 gallon = 4 quarts)

    Maths-General
    General
    Maths-

    A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

    Which of the following is the best interpretation of the slope of the line of best fit shown for these data?

    A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

    Which of the following is the best interpretation of the slope of the line of best fit shown for these data?

    Maths-General
    General
    Maths-

    A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

    Which of the following is closest to the equation of the line of best fit shown?

    A cable company recorded the percentage of households in the United States that had cable television from 1987 to 1997. In the scatterplot below, x represents the number of years since 1987 and y represents the percentage of households with cable television. The line of best fit for the data is shown.

    Which of the following is closest to the equation of the line of best fit shown?

    Maths-General
    parallel
    General
    Maths-

    If x4 - y4 = -15 and x2 - y2 = -3, what is the value of x2 + y?

    If x4 - y4 = -15 and x2 - y2 = -3, what is the value of x2 + y?

    Maths-General
    General
    Maths-

    Kate bought a bus pass that had an initial value of $ 90. For every bus ride Kate takes, $ 1.80, the cost of one bus ride, is subtracted from the value of the pass. What percent of the initial value of Kate's bus pass is the cost of one bus ride?

    Kate bought a bus pass that had an initial value of $ 90. For every bus ride Kate takes, $ 1.80, the cost of one bus ride, is subtracted from the value of the pass. What percent of the initial value of Kate's bus pass is the cost of one bus ride?

    Maths-General
    General
    Maths-

    At a snack bar, each medium drink costs $1.85 and each large drink costs c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c ?

    At a snack bar, each medium drink costs $1.85 and each large drink costs c more dollars than a medium drink. If 5 medium drinks and 5 large drinks cost a total of $20.50, what is the value of c ?

    Maths-General
    parallel
    General
    Maths-

    A pool initially contains 1,385 cubic feet of water. A pump begins emptying the water at a constant rate of 20 cubic feet per minute. Which of the following functions best approximates the volume v(t), in cubic feet, of water in the pool t minutes after pumping begins, for 0 ≤ t ≤ 69 ?

    A pool initially contains 1,385 cubic feet of water. A pump begins emptying the water at a constant rate of 20 cubic feet per minute. Which of the following functions best approximates the volume v(t), in cubic feet, of water in the pool t minutes after pumping begins, for 0 ≤ t ≤ 69 ?

    Maths-General
    General
    Maths-

    left parenthesis 2 x space plus space 6 right parenthesis space plus space open parentheses x squared space plus space 2 x space plus space 1 close parentheses
    Which of the following polynomials is equivalent to the expression above?

    left parenthesis 2 x space plus space 6 right parenthesis space plus space open parentheses x squared space plus space 2 x space plus space 1 close parentheses
    Which of the following polynomials is equivalent to the expression above?

    Maths-General
    General
    Maths-

    Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of $98 for the rental and mileage, for how many miles of driving was Juliet charged? (Assume there is no tax.)

    Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total of $98 for the rental and mileage, for how many miles of driving was Juliet charged? (Assume there is no tax.)

    Maths-General
    parallel
    General
    Maths-

    Nutritional Information for 1-Ounce Servings of Seeds and Nuts

    The table above shows the calories, grams of fat, and grams of protein in 1 -ounce servings of selected seeds and nuts.

    Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. of the following, which best approximates the average (arithmetic mean) number of calories per bag? ( 1 pound = 16 ounces)

    Nutritional Information for 1-Ounce Servings of Seeds and Nuts

    The table above shows the calories, grams of fat, and grams of protein in 1 -ounce servings of selected seeds and nuts.

    Lionel purchases 1-pound bags of each of the five seeds and nuts shown in the table. of the following, which best approximates the average (arithmetic mean) number of calories per bag? ( 1 pound = 16 ounces)

    Maths-General
    General
    Maths-

    Nutritional Information for 1-Ounce Servings of Seeds and Nuts

    The table above shows the calories, grams of fat, and grams of protein in 1 -ounce servings of selected seeds and nuts.

    How many more grams of protein are in one pound of pumpkin seeds than are in one pound of pistachios? (1 pound =16 ounces)

    Nutritional Information for 1-Ounce Servings of Seeds and Nuts

    The table above shows the calories, grams of fat, and grams of protein in 1 -ounce servings of selected seeds and nuts.

    How many more grams of protein are in one pound of pumpkin seeds than are in one pound of pistachios? (1 pound =16 ounces)

    Maths-General
    General
    Maths-

    Last year, 800 students attended the career fair at West High School. This year, the number of students who attended the career fair increased by 5%. How many students attended the career fair at West High School this year?

    Last year, 800 students attended the career fair at West High School. This year, the number of students who attended the career fair increased by 5%. How many students attended the career fair at West High School this year?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.