The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).
Answer:
-5/13
Step-by-step explanation:
sin theta = opp / hyp
sin theta = -12 /13
we can find the adj side by using the pythagorean theorem
adj^2 + opp ^2 = hyp^2
adj^2 +(-12)^2 = 13^2
adj^2 +144 =169
adj^2 = 169-144
adj^2 = 25
Taking the square root of each side
adj = ±5
We know that it has to be negative since it is in the third quad
adj = -5
cos theta = adj / hyp
cos theta = -5/13
Answer:
Option 1- x = 0; x = 2 is an extraneous solution
Step-by-step explanation:
Given : The rational equation 
To find : Solve the equation and check for extraneous solutions ?
Solution :
The equation
Cross multiply,
For extraneous solution put the value of x in the equation,
At x=0,
True
At x=2,
True
So, At x=0,2 is an extraneous solution
Therefore, Option 1 is correct.
If you meant 3x-12=9, the answer is x= 7
Answer:
<em>If </em><em>the </em><em>difference</em><em> </em><em>of </em><em>x </em><em>and </em><em>2</em><em>2</em><em>=</em><em>8</em>
<em>then </em><em>equation</em><em> is</em><em> </em>
<em>X </em><em>-</em><em>2</em><em>2</em><em>=</em><em>8</em>
<em>X=</em><em>2</em><em>2</em><em>+</em><em>8</em>
<em>X=</em><em>3</em><em>0</em>
<em>therefore</em><em> </em><em>now </em><em>we </em><em>put </em><em>the </em><em>value</em><em> of</em><em> x</em><em> in</em><em> the</em><em> </em><em>equation</em>
<em>3</em><em>0</em><em>-</em><em>2</em><em>2</em><em>=</em><em>8</em>
<em>8</em><em>=</em><em>8</em>
