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Illusion [34]
3 years ago
6

Can someone please solve 10 and 11

Mathematics
2 answers:
Troyanec [42]3 years ago
4 0

\large \mathfrak{Solution : }

10. Find TU :

Given values :

  • ST = 4 units

  • SU = 12 units

As we saw :.

  • ST + TU = SU

  • 4 + TU = 12

  • TU = 12 - 4

  • TU = 8 units

11. Find TU :

Given values :

  • ST = 2 units

  • UV = 7 units

  • SV = 19 units

According to observation :

  • ST + TU + UV = SV

  • 2 + TU + 7 = 19

  • TU = 19 - 9

  • TU = 10 units

Katena32 [7]3 years ago
3 0

Answer:

10) 8              11) 10

Step-by-step explanation:

10)

12-4=8

? = 8

11)

7+2=9

19-9=10

<em>TU</em> = 10

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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)
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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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