What are the roots of 12x = 9 + 5x2?

Answers

Answer 1

Answer: minus 12x both sides
0=5x^2-12x+9
use quadratic formula
for 0=ax^2+bx+c
x= $(-b+/- √(b^2-4ac) )/(2a)$

given
5x^2-12x+9
a=5
b=-12
c=9
remember: i=√-1

x= $(-(-12)+/- √((-12)^2-4(5)(9)) )/(2(5))$
x= $(12+/- √(144-180) )/(10)$
x= $(12+/- √(-36) )/(10)$
x= $(12+/- (√(-1))(√(36)) )/(10)$
x= $(12+/- i(√(36)) )/(10)$
x= $(12+/- 6i )/(10)$
x= $(6+/- 3i )/(5)$

the roots are
x= $(6+ 3i )/(5)$ and $(6- 3i )/(5)$

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The city zoo had an equal number of visitors on Sat. And Sun. In all they had 32,096 people visited the zoo that weekend

Answers

That means that 16,048 people visited Saturday, and 16,048 people visited on Sunday.

4. The shortest distance from a point to a straight line is A. a parallel through the point to the line.

B. the perpendicular bisector of the line.

C. a vertical line through the point.

D. the perpendicular from the line to the point.

Answers

D because it is the shortest distance from a point to a straight line

Answer:

D. the perpendicular from the line to the point.

Explanation:

Bc it is the shortest distance

Find the unit rate.

6 ounces for 2.5 servings

Help! Please

Answers

Answer:

2.4

Step-by-step explanation:

$6:2.5=x$
$2.4=x$

A car travels 2500 meters then stops. It turns left and travels 3000 meters; the car does this is 200 seconds. What was the average speed of the car?

Answers

Answer:

27.5 m/s

Step-by-step explanation:

Average speed = distance / time

s = (2500 m + 3000 m) / (200 s)

s = 27.5 m/s

Note that average speed is different than the average velocity. Average velocity would be displacement over time, rather than distance over time.

if the quadratic formula is used to find the roots of the equation x^2-6x-19=0, what is the correct roots

Answers

$x^(2) -6x-19=0 \n \ndiscriminant= b^(2)-4ac=> \n 36-(-76)=76+36=112 \n \n -b- √(disc.)/2a=>6- √(112)/2 \n =>6- 4√(7)/2 \n =3- 2√(7) \n \n -b +√(disc)/2a=6+4 √(7) /2 \n =3+ 2√(7) \n \n Solution\: set:(3- 2√(7) ,3+ 2√(7) ) \n \n \framebox[1.1\width]{Good Luck!!} \par$

$x^2-6x-19=0\nx^2-6x+9-28=0\n(x-3)^2=28\nx-3=√(28) \vee x-3=-√(28)\nx=3+2\sqrt7 \vee x=3-2\sqrt7$

Solve for the variable in the following proportion.
5/25=m/125

Answers

If you would like to solve for the variable in the proportion 5/25 = m/125, you can do this using the following steps:

5/25 = m/125 /*125
m = 5/25 * 125
m = 25

The correct result would be m = 25.

Answer:

M = 25

Step-by-step explanation:

Hope this is correct!

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