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denis23 [38]
3 years ago
12

Answer these three please!!

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

Answer:

10. x = 3 ± 2√6

11. x = 4 ± √6

12. x = \frac{- 7 + \sqrt{109}}{10} and x = \frac{- 7 - \sqrt{109}}{10}

Step-by-step explanation:

10. Given the quadratic equation (x - 3)² + 14 = 38

We have to solve it by square root.

Now, (x - 3)² + 14 = 38

⇒ (x - 3)² = 38 - 14 = 24

⇒ (x - 3)² = (2√6)²

Now, square rooting both sides we get,

(x - 3) = ± 2√6

⇒ x = 3 ± 2√6 (Answer)

11. Given the quadratic equation x² - 8x + 10 = 0

We have to solve it by completing the square.

Now, x² - 8x + 10 = 0

⇒ x² - 2(4)(x) + 4² = 4² - 10

⇒ (x - 4)² = (√6)²

Now, square rooting both sides we get,

x - 4 = ± √6

⇒ x = 4 ± √6 (Answer)

12. Given the quadratic equation 5x² + 7x - 3 = 0

We have to solve it by quadratic formula.

Hence,

x = \frac{- 7 + \sqrt{7^{2} - 4 (5)(- 3)}}{2(5)} and x = \frac{- 7 - \sqrt{7^{2} - 4 (5)(- 3)}}{2(5)}

⇒ x = \frac{- 7 + \sqrt{109}}{10} and x = \frac{- 7 - \sqrt{109}}{10} (Answer)

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Find the product of 8.12 and 2.4<br> Plz someone help .
vesna_86 [32]

Answer:

19.488

Step-by-step explanation:

8.12 x 2.4 = 19.488

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A shoe factory produces 1. 81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it m
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Step-by-step explanation:

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2 years ago
Read 2 more answers
find the value of x if A, B and C are collinear points and B is between A and C. AB= 6x, BC= x-5, AC= 23
Irina18 [472]

Answer:

x=4

Step-by-step explanation:

AB + BC = AC

AB= 6x, BC= x-5, AC= 23

Substituting what we know

6x + x-5 = 23

Combine like terms

7x -5 = 23

Add 5 to each side

7x-5+5 =23+5

7x = 28

Divide each side by 7

7x/7 = 28/7

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7 0
3 years ago
A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an
raketka [301]

Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

Find:

Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3

4 0
2 years ago
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