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3 years ago

X^2+9x+20=0 What are the steps to solve by factoring?

2 answers:

6 0

First simplify the equation and next multiply the 20 with the x^2 and find a number that adds together to give you the middle

Butoxors [25]3 years ago

6 0

Answer:

x = -5 or x = -4

Step-by-step explanation:

Given equation is :

x²+9x+20 = 0

We have to solve above equation by factoring.

Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product should be 20.

Terms are 4 and 5.

Their product is 4.5 = 20 and their sum is 4+5 = 9

x²+5x+4x+20 = 0

Step 2. Making two groups and taking common ,we get

x(x+5)+4(x+5) = 0

Step 3. Taking (x+5) as common , we get

(x+5)(x+4) =0

Step 4. Applying Zero-Product Property to above equation ,we get

x+5 = 0 and x+4 = 0

Step 5. Separating x,we get

x = -5 or x = -4 Which is the answer.

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the legs of a right triangle are 18 cm and 80 cm. what is the length of the hypotenuse? 82 cm 85 cm 89 cm 98 cm

GREYUIT [131]

A^2 + b^2 = c^2
324 + 6400 = c^2
6,724 = c^2
c = 82

82 cm.

4 0

2 years ago

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Minnie organizes data in a table to show the net change in the number of people subscribing and unsubscribing to her blog each m

olchik [2.2K]

The factored expression which represents the net change in the number of blog subscriptions over 10 months is :

3(11 - 7) + 4(-8)
Hence, the net change is -20

Change : -8, 11, -7, -7, -7, -8, -8, -8, 11, 11

To factor the values in the change variable :

-7 has a frequency of 3

-8 has a frequency of 4

11 has a frequency of 3

Values having the same frequency can be factored together :

Hence, we have ;

3(11 - 7) = 3(11 - 7) = 3(4) = 12 - - - - (1)

-8 having a value of 4 can be factored thus ; 4(-8) = -32 - - (2)

Joining both equations :

3(11-7) + 4(-8)

3(11 - 7) + 4(-8)

3(4) + 4(-8)

12 + (-32)

= - 20

Therefore, the factored expression for the net change in subscription is 3(11-7) + 4(-8)

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8 0

2 years ago

WHICH INQUALITY IS EQUAL TO -1 > M+4

PIT_PIT [208]

Answer:

m<−5

Step-by-step explanation:

Step 1: Flip the equation.

m+4<−1

Step 2: Subtract 4 from both sides.

m+4−4<−1−4

m<−5

Hope this helped <3

5 0

3 years ago

Could someone explain this to me ??

hodyreva [135]

<h3>Answer: C) 12</h3>

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

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

-------------------------------

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

7x+96 = 180

7x = 180-96

7x = 84

x = 84/7

x = 12

This points to choice C as the final answer.

3 0

3 years ago

PLEASE HELP

Tems11 [23]

Answer:

−

; (−1, 1)

−

; (2, −1)

−

; (4, 6)

−

; (−2, −3)

−

; (5, −2)

−

; (0, −2)

−

; (1, −2)

−

; (2, 1)

−

;

(

)

10.

−

;

(

)

11.

; (6, 3)

12.

−

; (−2, 9)

13.

−

; (0, −3)

14.

−

; (8, −5)

15.

−

;

(

−

)

16.

−

;

(

−

)

17.

; (−3, 2)

18.

; (4, −4)

19.

; (3, −3)

20.

; (1, 0)

Find the ordered pair solutions given the set of x-values.

21.

−

; {−2, 0, 2}

22.

−

; {−4, 0, 4}

23.

−

; {−2, 0, 2}

24.

−

; {−1/2, 0, 1/2}

25.

−

; {−3, 0, 3}

26.

; {−1/4, 0, 1/4}

27.

−

; {0, 1, 2}

28.

−

; {−5, 0, 5}

29.

–

; {−5, −1, 0}

30.

−

; {−4, −2, 0}

31.

; {−15, −10, −5}

32.

−

; {10, 20, 30}

Find the ordered pair solutions, given the set of y-values.

33.

−

; {−5, 0, 5}

34.

−

; {0, 2, 4}

35.

−

; {−3, −1, 0}

36.

−

; {−4, −2, 0}

37.

−

; {−1, 0, 1}

38.

; {−20, −10, −5}

Part B: Graphing Lines

Given the set of x-values {−2, −1, 0, 1, 2}, find the corresponding y-values and graph them.

39.

40.

−

41.

−

42.

−

43.

−

44.

45.

−

46.

−

47.

−

48.

Find at least five ordered pair solutions and graph.

49.

−

50.

−

51.

−

52.

−

53.

−

54.

−

55.

−

56.

−

57.

58.

−

59.

−

60.

61.

−

62.

63.

−

64.

65.

−

66.

Part C: Horizontal and Vertical Lines

Find at least five ordered pair solutions and graph them.

67.

68.

−

69.

70.

−

71.

72.

73.

74.

−

75. Graph the lines

−

and

on the same set of axes. Where do they intersect?

76. Graph the lines

and

−

on the same set of axes. Where do they intersect?

77. What is the equation that describes the x-axis?

78. What is the equation that describes the y-axis?

Part D: Mixed Practice

Graph by plotting points.

79.

−

80.

−

81.

−

82.

−

83.

−

84.

−

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers