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olchik [2.2K]
3 years ago
6

Solve for x in the equation x2 - 12x+ 36 = 90

Mathematics
1 answer:
12345 [234]3 years ago
6 0

Answer:

6 + 3\sqrt{10\\} or 6 - 3\sqrt{10\\}

Step-by-step explanation:

x^2 - 12x + 36 = 90

x^2 - 12x - 54 = 0

x = \frac{-b +/- \sqrt{b^{2} + 4ac }}{2a}

a = 1, b= -12, c= -54

6 + 3\sqrt{10\\} or 6 - 3\sqrt{10\\}

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WILL AWARD BRAINLIEST ANSWER
Tpy6a [65]

Answer:

(x - 5)^2 + (y - 7)^2 = 13^2

or

(x - 5)^2 + (y - 7)^2 = 169

Step-by-step explanation:

Well, the center origin of the circle is given (h,k) =  (5,7).

We have to find our radius as they gave us a point. from origin to the edge of the circle.

Using the formula: (x - h)^2 + (y - k)^2 = r^2

Plug in our (h,k) = (5,7) and (x,y) =  (10,19) to solve for radius.

(x - h)^2 + (y - k)^2 = r^2

(10 - (5))^2 + (19 - (7)^2 = r^2

(5)^2 + (12)^2 = r^2

25 + 144  = r^2

r^2 = 169

r = 13

5 0
1 year ago
Numbers like 10,100,1000, and so on are called blank
Evgen [1.6K]
Multiples of 10.

Is that what you are asking?
6 0
3 years ago
Find the value of g. Just write the angle measure, without the degree symbol.
jolli1 [7]

Answer:

g =37

Step-by-step explanation:

just do 90-53 which will equal 37

6 0
3 years ago
Read 2 more answers
X^2 + 8x +7<br> Explain answer
lisov135 [29]

Step-by-step explanation:

{x}^{2}   + 8x + 7 \\

8 0
1 year ago
Orlando invests $1000 at 6% annual interest compounded daily and Bernadette invests $1000 at 7%
Montano1993 [528]

Answer:

6 Years

Step-by-step explanation:

Orlando invests $1000 at 6% annual interest compounded daily.

Orlando's investment = A=1000(1+\frac{0.06}{365})^{(365\times t)}

Bernadette invests $1000 at 7% simple interest.

Bernadette's investment = A = 1000(1+0.07×t)

By trail and error method we will use t = 5

Bernadette's investment will be after 5 years

1000(1 + 0.07 × 5)

= 1000(1 + 0.35)

= 1000 × 1.35

= $1350

Orlando's investment after 5 years

A=1000(1+\frac{0.06}{365})^{(365\times 5)}

   = 1000(1+0.000164)^{1825}

  = 1000(1.000164)^{1825}

  = 1000(1.349826)

  = 1349.825527 ≈ $1349.83

After 5 years Orlando's investment will not be more than Bernadette's.

Therefore, when we use t = 6

After 6 years Orlando's investment will be = $1433.29

and Bernadette's investment will be = $1420

So, after 6 whole years Orlando's investment will be worth more than Bernadette's investment.

8 0
3 years ago
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