What is the solution for the following equation?
x^2-6x+9=11

Answers

Answer 1

Answer: make one side equal zero
minus 11 to both sides
x^2-6x-2=0
another quadratic equation

if you hahve
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

1x^2-6x-2=0
a=1
b=-6
c=-2

x= $\frac{-(-6)+/- \sqrt{(-6)^(2)-4(1)(-2)} }{2(1)}$
x= $(6+/- √(36+8) )/(2)$
x= $(6+/- √(44) )/(2)$
x= $(6+/- 2√(11) )/(2)$
x= $3+/- √(11)$
x= $3+ √(11)$ or $3- √(11)$

aprox
x=6.31662 or -0.316625

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Evaluate if x=13.2 and y=4.3 -x-2y

Answers

Lets substitute for each variable, then solve:-

x = 13.2
y = 4.3

x = 13.2
-13.2 - 2y

y = 4.3
-x - 2 · 4.3

Lets solve:-

-13.2 - 2 × 4.3
-13.2 - (2 × 4.3)
-13.2 - 8.6
-21.8

So, when x = 13.2 and y = 4.3, -x - 2y = -21.8

Hope I helped ya!! xD

A triangle has two sides of lengths 7 and 12 what value could the third side be?

Answers

$a,b,c- sides\ of \ triangle\n\nConditions\ for\ triangle \existing\n\na+b>c\nb+c>a\na+c>b\n\n\ a=7\nb=12\n\n1.\n7+12>c\ \ \ -->c<19\n2.\n12+c>7\ \ \ -->c>7-12\ \ c>\ -->-5\n3.\n7+c>12\ \ -->c>12-7\ \ -->c>5\n\nProduct \ of\ all\ conditions\n c\in(5,19)$

The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:a, 2a, 3a

Answers

Answer:

tn = n·a

t10 = 10a

Step-by-step explanation:

We observe that the coefficient of 'a' is the term number:

tn = n·a

t10 = 10a

Step-by-step explanation:

After a cannonball is fired into frictionless space, the amount of force needed to keep it going equals A zero, since no force is necessary to keep it moving.
B twice the force with which it was fired.
C one half the force with which it was fired.
D the same amount of force with which it was fired.
E one quarter the force with which it was fired.

Answers

Answer:

A zero, since no force is necessary to keep it moving

Step-by-step explanation:

Since, the space is friction less, the force exerted by the gun will be enough to keep the ball going. There will not be any depreciation in the initial force. Hence, the ball continues to move forward without any impediment.

Hence, the correct answer is

A zero, since no force is necessary to keep it moving

for his long distance phone service, lamar pays a $3 monthly fee plus 11 cents per minute. last month, lamar's long distance bill was $20.82 . for how many minutes was lamar billed

Answers

Let the number of minutes be = x.

Cost per minute = 11 cents = 0.11

Phone Bill = Monthly fee + 0.11* x

Substituting from the question

20.82 = 3 + 0.11x

3 + 0.11x = 20.82

0.11x = 20.82 - 3

0.11x = 17.82

x = 17.82/0.11

x = 162

Lamar was billed for 162 minutes.

Your family went out to dinner at Applebee's and left the waiter an 18% tip. If the total before the tip for the dinner was $47.98 what should be paid to the waitress as a tip