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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Mathematics

2 answers:

kodGreya [7K]3 years ago

4 0

Answer:

Step-by-step explanation:

x = $\frac{11\sqrt{2} }{2}$

Sauron [17]3 years ago

3 0

Answer:

$\frac{11\sqrt{2}}{2}}$ or 5.5√2

Step-by-step explanation:

We can see that this is a 45-45-90 triangle

refer to the image below to see what that means

we can see that (in the image) 11=x√2

which means that x= 11/√2

to rationalize this fraction we mulitply both sides by √2 to get

$\frac{11\sqrt{2}}{2}}$ or 5.5√2

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The following graphs have no scales assigned to them. Which of them could

yuradex [85]

I think it’s a C since it doesn’t have a letter after since the others have the letters after Graph.

4 0

3 years ago

Micaela is 2 years older than Sam. In 4 years, the sum of their ages will be 40. How old is Micaela now?

Ann [662]

Answer:

The error is: The solution shows the Sam's age and the problem asked for Micaela's age.

Solution fixed: $m=17$

Micaela is 17 years old now.

Step-by-step explanation:

The error is: The solution shows the Sam's age and the problem asked for Micaela's age.

To fix the error, you can set up these equations based on the information given:

$m=s+2$

$(m+4)+(s+4)=40$

Solve for "s" from the first equation:

$s=m-2$

Substitute this equation into the second equation:

$(m+4)+((m-2)+4)=40$

Now you need to solve for "m":

$m+4+(m-2+4)=40\\m+4+m+2=40\\m+m=40-4-2\\2m=34\\m=\frac{34}{2}\\\\m=17$

Micaela is 17 years old now.

4 0

3 years ago

Read 2 more answers

M = 2; b=3 using y-intercept how do i solve

mash [69]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have m = 2 and b = 3. Substitute:

$y=2x+3$

6 0

3 years ago

Which bar diagram represents the equation 5x + 7.5 = 15? A bar diagram. The top box contains 5 x. The bottom boxes contain 7.5 a

photoshop1234 [79]

Answer:

Option C.

Step-by-step explanation:

The top box must ALWAYS contain the answer to the problem.

6 0

3 years ago

Read 2 more answers

A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th

alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0

3 years ago