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lisabon 2012 [21]
3 years ago
8

Which pair of lines are parallel? p ll s q ll r p ll q r ll s

Mathematics
2 answers:
Anni [7]3 years ago
7 0

Answer:

rs

Step-by-step explanation:

CNN ghhhfdyhjjut6yh

Vlad1618 [11]3 years ago
6 0

Answer:

q || r

Step-by-step explanation:

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7. Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0​
morpeh [17]

Hey there!

<u>Use the quadratic formula to find the solution(s). x² + 2x - 8 = 0</u>

  • Answer :

x = -4 or x = 2 ✅

  • Explanation :

<em><u>Quadratic</u></em><em><u> </u></em><em><u>formula </u></em><em><u>:</u></em><em><u> </u></em>ax² + bx + c = 0 where a ≠ 0

The number of real-number solutions <em>(roots)</em> is determined by the discriminant (b² - 4ac) :

  • If b² - 4ac > 0 , There are 2 real-number solutions

  • If b² - 4ac = 0 , There is 1 real-number solution.

  • If b² - 4ac < 0 , There is no real-number solution.

The <em><u>roots</u></em> of the equation are determined by the following calculation:

x =  \frac{ - b \pm  \sqrt{ {b}^{2} - 4ac } }{2a}

Here, we have :

  • a = 1
  • b = 2
  • c = -8

1) <u>Calculate </u><u>the </u><u>discrim</u><u>i</u><u>n</u><u>ant</u><u> </u><u>:</u>

b² - 4ac ⇔ 2² - 4(1)(-8) ⇔ 4 - (-32) ⇔ 36

b² - 4ac = 36 > 0 ; The equation admits two real-number solutions

2) <u>Calculate </u><u>the </u><u>roots </u><u>of </u><u>the </u><u>equation</u><u>:</u>

▪️ (1)

x_1 =  \frac{ - b -  \sqrt{ {b}^{2}  - 4ac} }{2a}  \\  \\ x_1 =  \frac{ - 2 -  \sqrt{36} }{2(1) }  \\  \\ x_1 =  \frac{ - 2 - 6}{2}   \\ \\ x_1 =  \frac{ - 8}{2}  \\  \\ \blue{\boxed{\red{x_1 = -4}}}

▪️ (2)

x_2 =  \frac{ - b  +   \sqrt{ {b}^{2} - 4ac } }{2a}  \\  \\ x_2 =  \frac{ - 2 +  \sqrt{36} }{2(1)}  \\  \\ x_2 =  \frac{ - 2 + 6}{2}  \\  \\ x_2 =  \frac{4}{2}  \\  \\ \red{\boxed{\blue{x_2 = 2}}}

>> Therefore, your answers are x = -4 or x = 2.

Learn more about <u>quadratic equations</u>:

brainly.com/question/27638369

6 0
2 years ago
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Leonard has 5 times as many stamps as Alison. Melissa has 7 more stamps than Leonard. If Alison has q stamps, how many stamps do
bija089 [108]
The answer is 35 just do 7x5
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3 years ago
How many solutions does the equation 6(x -2) = 8 + 6x have?
Contact [7]

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

<u>6(x - 2)</u> = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

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Which statement is true about the geometric figure that can contain these points?
snow_lady [41]

I believe the answer is o<span>ne plane can be drawn so it contains all three points for this question.</span>

<span />

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3 years ago
if your bag of M&amp;M’s has 8 yellow out of 24 , how many of them will be yellow i’d the bag has a total of 96?
Lera25 [3.4K]

Answer: 32

Step-by-step explanation:

96 divided by 24 is 4

8x4=32

7 0
3 years ago
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