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Mrrafil [7]
3 years ago
13

Determine the type and number of solutions of x2 − 12x + 36 = 0.

Mathematics
2 answers:
denis23 [38]3 years ago
8 0
First you would solve for x. Since the equation follows the square of a binomial rule, you would solve it so.

(a - b)^2 = a^2 - 2ab + b^2

a^2 = x^2
a = x
b^2 = 36
b = 6

x^2 -12x + 36 = (x - 6)^2 = 0
x = 6

There is one real solution.
ANTONII [103]3 years ago
3 0
Quadratic formula and the solution is 6

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What is the answer???
vagabundo [1.1K]

Answer:

3. \displaystyle x-intercept: [-4\frac{1}{2}, 0] \\ y-intercept: [0, -9] \\ Slope-Intercept\:Form: y = -2x - 9

2. \displaystyle x-intercept: [5, 0] \\ y-intercept: [0, 1] \\ Slope-Intercept\:Form: y = -\frac{1}{5}x + 1

1. \displaystyle x-intercept: [4, 0] \\ y-intercept: [0, -3] \\ Slope-Intercept\:Form: y = \frac{3}{4}x - 3

Step-by-step explanation:

−2x - y = 9

x-intercept → Plug in 0 for <em>y</em><em> </em>to get −4½ for <em>x</em>

y-intercept → Plug in 0 for <em>x</em><em> </em>to get −9 for <em>y</em>

−2x - y = 9

+ 2x + 2x

_________

\displaystyle \frac{-y}{-1} = \frac{2x + 9}{-1}

\displaystyle y = -2x - 9 →<em>Slope-Intercept</em><em> </em><em>Form</em>

_______________________________________________

x + 5y = 5

x-intercept → Plug in 0 for y to get 5 for x

y-intercept → Plug in 0 for x to get 1 for y

x + 5y = 5

- x - x

_________

\displaystyle \frac{5y}{5} = \frac{-x + 5}{5}

\displaystyle y = -\frac{1}{5}x + 1 →<em>Slope-Intercept Form</em>

_______________________________________________

3x - 4y = 12

x-intercept → Plug in 0 for y to get 4 for x

y-intercept → Plug in 0 for x to get −3 for y

3x - 4y = 12

- 3x - 3x

_________

\displaystyle \frac{-4y}{-4} = \frac{-3x + 12}{-4}

\displaystyle y = \frac{3}{4}x - 3 →<em>Slope-Intercept Form</em>

I am joyous to assist you anytime.

4 0
3 years ago
What is the difference?
Marianna [84]

Answer:

differense: 2983-293728

y 29372+3927288 +-+-+-+ 823828373973

3 0
3 years ago
The perimeter of a rectangular school yard is 182 meters. the school yard is 65 meters long. how wide is it?
Grace [21]

Answer:

<h2><u><em>26m</em></u></h2>

Step-by-step explanation:

The perimeter of a rectangular school yard is 182 meters. the school yard is 65 meters long. how wide is it?

  • Perimeter = 2x(LxW)
  • inverse formula
  • W = P/2 - L     (P = perimeter)

182 : 2 - 65 =

91 - 65 =

26m

6 0
2 years ago
Select the correct answer. The graph of the rational function f is shown. Which graph is the graph of g(x)=-f(x)?
sp2606 [1]

Answer:

12

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -x + 6. What is the point slope
Firdavs [7]

Answer:

y=9

Step-by-step explanation:

y=-×+6--》y=3+6--》y=9

6 0
3 years ago
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