1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
borishaifa [10]
3 years ago
9

5 to the root of five(3 to the root of 6 + the root of 6)

Mathematics
1 answer:
alexdok [17]3 years ago
7 0
5\sqrt{5}(3\sqrt{6} + \sqrt{6})
5\sqrt{5}(4\sqrt{6})
20\sqrt{30}
You might be interested in
A golf ball is hit off a tee toward the green. The height of the ball is modeled by the function h(t) = −16t2 + 96t, where t equ
Ierofanga [76]

Answer:

t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.

Step-by-step explanation:

To find the axis of symmetry, we need to find the vertex by turning this equation into vertex form (this is y = a(x - c)² + d where (c, d) is the vertex). To do this, we can use the "completing the square" strategy.

h(t) = -16t² + 96t

= -16(t² - 6t)

= -16(t² - 6t + 9) - (-16) * 9

= -16(t - 3)² + 144

Therefore, we know that the vertex is (3, 144) so the axis of symmetry is t = 3. Since the coefficient of the squared term, -16, is negative, it means that the vertex is the maximum. We know that it takes the golf ball 3 seconds to reach the maximum height (since the t value of the vertex is 3) and because the vertex is on the axis of symmetry, it would take 3 more seconds for the ball to fall to the ground, therefore it takes 3 + 3 = 6 seconds to fall to the ground. The final answer is "t = 3; It takes the ball 3 seconds to reach the maximum height and 6 seconds to fall back to the ground.".

6 0
3 years ago
Find the area and perimeter of a rectangle.<br> the length is x+6 the width is x+2
yarga [219]

Answer:

<h2><u><em>Area = x² + 8x + 12</em></u></h2><h2><u><em>Perimeter = 4x + 16</em></u></h2>

Step-by-step explanation:

The area of a rectangle is given by the formula:

Area=width×height

The perimeter of a rectangle is given by the formula

Perimeter=2(width+height)

Area

(x + 6) × (x+2) =

x² + 2x + 6x + 12

x² + 8x + 12

------------------

Perimeter

2 × (x + 6 + x + 2) =

2 × (2x + 8) =

4x + 16

6 0
2 years ago
What is true about the solution of x^2/2x-6=9/6x-18?
pogonyaev

Answer:

  • x = ±√3, and they are actual solutions
  • x = 3, but it is an extraneous solution

Step-by-step explanation:

The method often recommended for solving an equation of this sort is to multiply by the product of the denominators, then solve the resulting polynomial equation. When you do that, you get ...

... x^2(6x -18) = (2x -6)(9)

... 6x^2(x -3) -18(x -3) = 0

...6(x -3)(x^2 -3) = 0

... x = 3, x = ±√3

_____

Alternatively, you can subtract the right side of the equation and collect terms to get ...

... x^2/(2(x -3)) - 9/(6(x -3)) = 0

... (1/2)(x^2 -3)/(x -3) = 0

Here, the solution will be values of x that make the numerator zero:

... x = ±√3

_____

So, the actual solutions are x = ±3, and x = 3 is an extraneous solution. The value x=3 is actually excluded from the domain of the original equation, because the equation is undefined at that point.

_____

<em>Comment on the graph</em>

For the graph, we have rewritten the equation so it is of the form f(x)=0. The graphing program is able to highlight zero crossings, so this is a convenient form. When the equation is multiplied as described above, the resulting cubic has an extra zero-crossing at x=3 (blue curve). This is the extraneous solution.

7 0
3 years ago
Read 2 more answers
-4x + 8 &gt; 12 inequality solution ?
BARSIC [14]

Answer:

x<-1

Step-by-step explanation:

-4x+8>12

-4x>12-8

-4x>4

x>4/-4

x>-1

x<-1

6 0
3 years ago
What's the x-intercept for number 26?
Lunna [17]
It gives function: h = -16t^2 + 40
water is when height is 0 so solve for 0= -16t^2 + 40
subtract 40 from both sides: -40 = -16t^2
divide by -16: -40/-16 = t^2
simplify: 5/2 = t^2
square root both sides: 1.58 = t

the orange hits the river in 1.58 seconds.
6 0
3 years ago
Other questions:
  • 10 POINTS. NEED THIS ASAP!!
    10·2 answers
  • Given the graph y = f(x), explain and contrast the effect of the constant c on the graphs y = f(cx) and y = cf(x).
    12·1 answer
  • Nearest toot!
    8·1 answer
  • NEED HELP WITH ALGEBRA PLEASE!!!!!!Arrange these functions from the greatest to the least value based on the average rate of cha
    13·2 answers
  • HELP HLP HELP HELP HELP AYUD A HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!
    9·1 answer
  • If a ants can dig b tunnels in c hours, how many tunnels can b ants dig in a hours?
    13·1 answer
  • (0, 15)<br> (15, 0)<br> (4.8)<br> (10.0)<br> Which ones are solutions
    11·1 answer
  • Can someone please explain how to do this?
    14·2 answers
  • Every 60 seconds in Africa a minute passes​
    13·2 answers
  • Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!