1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
3 years ago
9

Solve using completing the square method 12 x square + 7 x square - 12 is equals to zero​

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

  x = -4/3  or  3/4

Step-by-step explanation:

To solve the equation by completing the square, it is convenient to have the leading coefficient be 1. Accordingly, we divide the equation by 12:

  x^2 +7/12x -1 = 0

Add the constant.

  x^2 +7/12x = 1

Add the square of half the x-coefficient.

  x^2 +7/12x +49/576 = 1 +49/576

Write the left side as a square; simplify the right side.

  (x +7/24)^2 = 625/576

Take the square root.

  x +7/24 = ±25/24

  x = (-7 ±25)/24

  x = -4/3  or  3/4

_____

These solutions suggest the equation could be factored as ...

  (3x +4)(4x -3) = -0

You might be interested in
Simplify the following expression completely using distribution and combining like terms
Katena32 [7]

Answer:

10 +11f

Step-by-step explanation:

3(4 + 2f) + 5f - 2​ =

12 + 6f + 5f - 2 =

10 +11f

3 0
3 years ago
Read 2 more answers
Which line has the same slope as the lone passing through (-4,-1) and (-1,-7)
Julli [10]

Answer:

1) 6x+3y=5    

Step-by-step explanation:

1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula m = \frac{y_2-y_1}{x_2-x_1}. Substitute the x and y values of the two points into the formula and solve:

m = \frac{(-7)-(-1)}{(-1)-(-4)} \\m = \frac{-7+1}{-1+4} \\m = \frac{-6}{3} \\m = -2

So, the slope is -2.

2) Now, identify the slopes of the lines in the options. We already know the slope of y = -\frac{1}{2} x-7  is -\frac{1}{2} since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.

To find the slope of 6x + 3y = 5, isolate y to put the equations into slope-intercept form (y = mx + b format), and whatever the coefficient of the x-term is will be the slope.

6x + 3y = 5\\3y = -6x+5\\y = -2x + \frac{5}{3}.

So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.

4 0
3 years ago
If a jar contains 4 red marbles, 6 blue marbles, 3 yellow marbles, and 7 green marbles, what is
melamori03 [73]

Answer:

35% chance

Step-by-step explanation:

add up total number of marbles 4+6+3+7= 20

add up number of red and yellow marbles 4+3= 7

there is a 7 out of 20 chance that a red or yellow marble is chosen or in other words 35% chance

5 0
3 years ago
Read 2 more answers
5^3+5-6(4)<br><br> HELP FAST I’M IN CLASS
vodomira [7]

To solve: 5^3+5-6(4)

5^3+5-6(4) < first step, 5 to the third power is 125

125 + 5 - 6(4) < next step, 6(4) or 6 x 4 is 24

125 + 5 - 24 < third step, add/subtract based off what comes first.

130 - 24 < final step. 130 - 24 = 106

106 is your final answer.

5 0
3 years ago
WILL GIVE BRAINIEST ANSWER!!!Which lines are parallel to the graph of 4x – y = 6? Check all that apply.
kondaur [170]
If it is parallel, it means the slope is the same. We can convert 4x-y=6 into 4x-6=y after we isolate the x. We can also convert these other equations into slope intercept form. The answers are C, D, and F.
5 0
3 years ago
Other questions:
  • Write the rule used to give the output number for the following:
    5·1 answer
  • Multiply. Express your answer in simplest form. 1/8 × 5/6
    9·2 answers
  • What is x divided by eight greater than equal to nine
    10·1 answer
  • What is proportion of 44/p=11/s what dose p equal
    5·1 answer
  • The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of th
    11·2 answers
  • Angle a is 5/3 of Angle b. <br> Find Angles a and b plz
    10·1 answer
  • Please help me! no links please im begging u ;(
    6·1 answer
  • Find the area of the shape.
    6·1 answer
  • What is the area of this trapezoid? <br><br><br> Enter your answer in the box<br><br><br> ___ units2
    10·1 answer
  • Find the values that will make the equations true.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!