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natka813 [3]
4 years ago
6

Solve the Quadratics:

Mathematics
1 answer:
Inessa [10]4 years ago
4 0

Answer:  1. {-2, -3}   2. {-5, 5}   3. {-3, 5}

<u>Step-by-step explanation:</u>

1) First, factor the equation by finding two numbers whose product is 6 and sum is 5.  Then apply the Zero Product Property by setting each product equal to zero and solving for m.

m² + 5m + 6 = 0

                 ∧

                1 + 6 = 7

                2 + 3 = 5   This works!

        (x + 2)(x + 3) = 0

x + 2 = 0      x + 3 = 0

     x = -2           x = -3

2) Factor out the GCF of 5. Notice the remaining factor is the difference of squares (because the middle term is missing and the first and last terms are perfect squares. Then apply the Zero Product Property by setting each product equal to zero and solving for p.

5p² - 125 = 0

5(p² - 25) = 0

5(p +5)(p - 5) = 0

5 ≠ 0    p+ 5 = 0         p - 5 = 0

                 p = -5              p = 5

3) Factor out the GCF of 2. Factor the equation by finding two numbers whose product is -15 and sum is -2.  Then apply the Zero Product Property by setting each product equal to zero and solving for x.

2x² - 4x - 30 = 0

2(x² - 2 - 15) = 0

              ∧

             1 - 15 = -14

             3 - 5 = -2    This works!

     (x + 3)(x - 5) = 0

x + 3 = 0     x - 5 = 0

     x = -3          x = 5

***************************************************

You are allowed a maximum of 3 questions.

Try #4 and #5 on your own.  If you still need help with them, please create a new question and post them.

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Thankkk you in advance!
mrs_skeptik [129]
<h3>Answer:  22</h3>

===============================================

Explanation:

  • x = measure of angle 1 = angle WXY
  • 2x = twice the measure of angle 1 = measure of angle 2 = angle YXZ

The two angles mentioned combine to form angle WXZ which is 66 degrees.

angle1+angle2 = angle WXZ

x+2x = 66

3x = 66

x = 66/3

x = 22

Angle 1 is 22 degrees and angle 2 is 22*2 = 44 degrees.

Check:

angle1+angle2 = 22+44 = 66 = angle WXZ

4 0
3 years ago
Read 2 more answers
Convert the unit<br>1.5kg to g​
navik [9.2K]

Answer:

The answer should be 1500g I think.

6 0
3 years ago
Write and Solve Equations-Word Problems help
Ber [7]

Answer:

blue = 110

red = 83

Step-by-step explanation:

110 + 83 = 193

and the blue jar has 27 more coins than the red jar , so this is correct!

5 0
3 years ago
You have 480 roses and 24 of them dies, how many per cent died?
Setler79 [48]

Answer:

5%

Step-by-step explanation:

5% of the roses died.

480 roses = Total number of roses

24 roses = number of roses that died

24 roses that died as a percent of 480 the total is:

24/480*100= 5%

To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.

5 0
3 years ago
(06.01 MC)
anastassius [24]

Answer:

It is not a square because the side lengths are not the same length. It is a rectangle.

Step-by-step explanation:

4 0
3 years ago
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