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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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7 0
3 years ago
Which points have an x-value less than zero?
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Answer:

C, D, J

Step-by-step explanation:

Points to the left of the y-axis have a negative x- value

Points to the right of the y-axis have a positive x- value

Points on the y-axis have an x- value of zero

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8 0
3 years ago
Consider the quadratic function:<br> f(x) = x2 – 8x – 9
Bumek [7]

Solved in quadratic function
The answer :
X=(9,-1)
7 0
3 years ago
If ACFE = APTR, then ZF =
lord [1]

Than Zf will equal prt or irt

6 0
3 years ago
Read 2 more answers
25 x (5 - 2) ➗ 5 - 12
joja [24]

Answer: 3

Step-by-step explanation:

25 x (5 - 2) ➗ 5 - 12

Applying the rule of BODMAS

- Solve task in bracket first

25 x (5 - 2) ➗ 5 - 12

= 25 x (3) ➗ 5 - 12

= 75 ➗ 5 - 12

- Solve task of division next

75 ➗ 5 - 12

= 15 - 12

= 3

Thus, the answer is 3

3 0
3 years ago
Read 2 more answers
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