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ser-zykov [4K]
2 years ago
8

Dentify the location of the values square root of 10, square root of 13, and twenty two ninths on the number line.

Mathematics
1 answer:
Goshia [24]2 years ago
6 0

A <em>number line</em> is a <u>system</u> that shows the location of all <em>directed numbers </em>on a <u>straight</u> <u>line</u>. All <em>numbers</em> can be plotted on a <em>number line</em>. Thus the required answer to the given question is; Option A. Point A is <em>twenty-two</em> <em>ninths</em>, point B is <em>square root</em> of 10, and point C is <em>square root</em> of 13.

A <u>line</u> on which the <em>locations</em> of all <em>directed number</em>s can be shown is termed a <u>number line</u>. It has <u>two</u> extreme ends ranging from -∞ to +∞. Note that all <em>numbers</em> can be plotted on a <em>number line</em>. So that the <u>position</u> of any given <em>number</em> can be shown on the <u>line</u>.

In the given question, we have:

i. square root of 10 = \sqrt{10}

                               = 3.2

ii. square root of 13 = \sqrt{13}

                                = 3.6

iii. twenty-two ninths = \frac{22}{9}

                                  = 2.4

But it has been given that;

Number line with points plotted at; <em>two</em> and <em>four-tenths</em> labeled point<u> A,</u> <em>three</em> and <em>two-tenths</em> labeled point <u>B</u>, and <em>three</em> and <em>six-tenths</em> labeled Point <u>C.</u>

Therefore,

Point A is <em>twenty-two ninths</em>, point B is <u>square</u> <u>root </u>of 10, and point C is <em>square root</em> of 13.

Thus the correct <u>option</u> is A.

For more clarifications on number line visit: brainly.com/question/22567573

#SPJ1

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Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)
Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

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Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

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