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4 years ago

A segment with endpoints A (2, 6) and C (5, 9) is partitioned by a point B such that AB and BC form a 3:1 ratio. Find B.

2 answers:

4 0

To answer the given question, determine the differences of the coordinates. Since the ratio of the lengths of the segment (AB/BC) is 3:1, add 3/4 of these differences to the coordinates of point A. The calculations are shown below,
abscissa (3/4)(5 - 2) + 2 = 4.25
ordinate (3/4)(9 - 6) + 6 = 8.25
Thus, the coordinates of the point is (4.25, 8.25).

brilliants [131]4 years ago

3 0

Answer:

Just took the test and the answer is (4.25, 8.25)

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Rewrite the expression with a rational exponent as a radical expression.

agasfer [191]

Answer:

The correct answer is B. $\sqrt[9]{3}$

Step-by-step explanation:

The root of a number can be expressed as the number raised to the power whose exponent is a fractional number. The exponent number will be the inverse of the root index.

In this case, three to the two thirds power all raised to the one sixth power is expressed as:

$(3^{\frac{2}{3} }) ^{\frac{1}{6}}$

Power of a Power Property: This property states that the power of a power can be found by multiplying the exponents.

So, we multiply the exponents:

$\frac{2}{3} \times \frac{1}{6}= \frac{1}{9}$

The expression would be:

$3^{\frac{1}{9} }$

which as a radical expression is:

$\sqrt[9]{3}$

The four options are expressed as:

a) $\sqrt[6]{3}$

b) $\sqrt[9]{3}$

c) $\sqrt[18]{3}$

d) $\sqrt[6]{3^3}$

The correct answer is B.

7 0

3 years ago

Read 2 more answers

The heights of a group of sixth graders' are summarized below. If another sixth grader were to be measured, what would be a good

olga nikolaevna [1]

Using the mean, median and mode we can assume that a good prediction for her height would be 55 inches.

In the given data ,

Range of the data is 10. So all the values are between 50 and 60.

mode of the data is 57 , and the mean is 55 and the median is 55

Therefore a random 6th grader can have any value between 50 and 60 since it is the range.

Now the mean and median of the function will be closest to a random value.

Hence of all the options 55 is the most efficient explanation of the central tendency of the dataset .

When the probability density function contains a large number of local maxima, the edge points of a continuous distribution are frequently referred to as the distribution's modes.

Any x value that causes the density function probability of a variate to reach a locally maximum value is often thought of as a mode, making any peak a mode.

The median is the value that divides the top and bottom halves of a large dataset, a demographic, or a probability distribution in statistics and probability theory.

Hence of all the options 55 is the most efficient explanation of the central tendency of the dataset .

To learn more about mode visit:

brainly.com/question/300591

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1 year ago

Leena consumes 400 calories at breakfast and 350 calories at lunch. She consumes StartFraction 2 Over 3 EndFraction. of her dail

snow_tiger [21]

Answer: A and B

Step-by-step explanation:

I just took the assignment.

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3 years ago

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In professional baseball, each team plays 160 games. After playing half their games, team A has won 60 and team B has won 49. If

Anuta_ua [19.1K]

Answer:

61 wins

Step-by-step explanation:

60 + 1/2*100=110 wins (team A)

110-49=61

Team B needs to win 61 more games to have the same number of wins as team A.

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3 years ago

The product of two 2-digit factors whose product is greater than 200 but less than 600

IRINA_888 [86]

10 × 30 = 300
(20 characters thing)

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3 years ago