Simplify this radical expression, shown in the following image. ​

x2=36

We move all terms to the left:

x2-(36)=0

We add all the numbers together, and all the variables

x^2-36=0

a = 1; b = 0; c = -36;

Δ = b2-4ac

Δ = 02-4·1·(-36)

Δ = 144

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

x1=−b−Δ√2ax2=−b+Δ√2a

Δ‾‾√=144‾‾‾‾√=12

x1=−b−Δ√2a=−(0)−122∗1=−122=−6

x2=−b+Δ√2a=−(0)+122∗1=122=6

9514 1404 393

Answer:

  x = -6 or +6

Step-by-step explanation:

You know from your multiplication tables that 6×6 = 36, so one answer is ...

  x = 6

You also know that the product of two negative numbers is positive, so another answer is ...

  x = -6

__

Check

  x² = 6² = 6×6 = 36

  x² = (-6)² = (-6)×(-6) = 36

_____

Alternate approach

If you like, you can rewrite the equation as ...

  x² -36 = 0

This can be factored to ...

  (x -6)(x +6) = 0

The zero product rule tells you this product will only be zero if one or the other factors is zero.

  x -6 = 0   ⇒   x = 6

  x +6 = 0   ⇒   x = -6

The two solutions are x = ±6.

Answer:

149.5km/s

Step-by-step explanation:

speed= distance/time

distance= 299km

time=2hours

speed=299/2

speed=149.5km/h

Answer: 149.5 km/h or 92.58 mph

Step-by-step explanation:

Divide 299/2 to get the Kilometers Per Hour= 149.5

In Miles Per Hour it's about 92.584308 Miles per Hour.

Answer:

192 gallons

Step-by-step explanation:

1.6 gallons x by 4 (the amount of times flushed in a day) = 6.4 gallons a day

6.4x30 (days in a month) = 192

192 gallons of water is being flushed a month

Answer:

192 gallons

Step-by-step explanation:

Answer:

Well, for triangle rectangles, we have the relations:

Cos(A) = (adjacent cathetus)/(hypotenuse)

Sin(A) = (opposite cathetus)/(hypotenuse)

Tan(A) = (opposite cathetus)/(adjacent cathetus)

Where the adjacent cathetus is the cathetus that is adjacent to the angle, the opposite cathetus is the one that is opposite to the angle, and the hypotenuse is the side that is opposite to the 90° angle.

Here we want to solve 3 to 9.

3) We want to find values sin(D) and sin(E) in that triangle.

Remember the above relationship for the sin function, here will have:

sin(D) = 12/15 = 0.8

sin(E) = 9/15 = 0.6

4)

Sin(E) = 12/37 = 0.3243

Sin(D) = 35/37 = 0.9459

5)

Sin(E) = 45/53 = 0.8491

Sin(D) = 28/53 = 0.5283

6)

Remember that: Sin(A) = (opposite cathetus)/(hypotenuse)

In the image, 5 is the adjacent cathetus to the angle A, and the opposite cathetus to angle A is the one in front of it, 12, then the equation should be:

Sin(A) = 12/13

Now we should use the cosine relationship:

Cos(A) = (adjacent cathetus)/(hypotenuse)

7)

Cos(X) = 27/45 = 0.6

Cos(Y) = 36/45 = 0.8

8)

Cos(X) = 15/17 = 0.824

Cos(Y) = 8/17 = 0.4706

9)

Cos(X) = 13/26 = 0.5

Cos(Y) =  (13*√3)/26 = 0.866

Answer:

slope is 5/1

Step-by-step explanation:

y=mx+b

m=slope

Answer:

The slope is 5.

Step-by-step explanation:

Y is the y-axis. 5 is the slope. X is the x-axis. -1 is the y-intercept.

Answer:

Down below :) Hope this helps!

Step-by-step explanation:

To divide fractions, you have to flip the second fraction.

For example, 2/3 divided by 1/2 is the same thing as 2/3 x 2/1, you have to flip the second fraction. When you do this, your answer will be 4/3 or 1 1/3.

Answer:

i would multiply the 2 numerators first then the 2 bottom numbers or i would factor it by a common denominatior which is 6

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

Answer:

x = 50/9

hope it's helpful ❤❤❤

THANK YOU.

Answer:

3.775 or 151/40

Step-by-step explanation:i am 99% sure thats the answer :)

Answer:

jayfeather friend me

Step-by-step explanation:

$203,904

What amount would you have if you deposited $1,800 a year for 30 years at 8 percent (compounded annually)? $1,800 113.28 = $203,904 (TVM Table-Page 41) 5.

Answer:

m EAD = 56

m EDA = 35

x = 4

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other. This means that AE and EC are equal. To find x, simply set 2x + 3 = 11, and solve.

2x + 3 = 11

2x = 8

x = 4

Additionally, since the sides of a parallelogram are parallel, BC + AD are parallel, as are AB + DC. This make ECB + EAD and EBC + EDA opposite interior angles (have same measure). Thus, since we know ECB = 56 and EBC = 35, EAD also = 65 and EAD also = 35

Answer: the answer is d. 7.2 feet

Step-by-step explanation: hope this helps!

Answer: The Doctor's.

Step-by-step explanation:

Claire's estimate was simply that, an estimate. The doctor's measurement on the other hand is the actual height of her brother because he actually got measured.

This means that the doctor's measurement is more accurate and would make more sense to be used.

4n - 8 > n + 17

n > 8.33

This means n is greater than 8.33.

We can have 9, 10, 11, 12, 13, ,,, and so on.

The least value is 9.

The least value of the number of sheep is 9.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Rashid:

Number of sheep owned = n

Bought 17 sheep = n + 17

Eifion:

Number of sheep owned = 4n

Sells 8 sheep = 4n - 8

Eifion still has more sheep than Rashid.

This means,

4n - 8 > n + 17 ______(1)

Solving for n in (1).

4n - 8 > n + 17

Subtract n on both sides.

4n - 8 - n > n + 17 - n

3n - 8 > 17

Add 8 on both sides.

3n - 8 + 8 > 17 + 8

3n > 25

Divide 3 on both sides,

n > 25/3

n > 8.33

This means n is greater than 8.33.

We can have 9, 10, 11, 12, 13, ,,, and so on.

The least value is 9.

Thus,

The least value of the number of sheep is 9.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

Answer:

dude how the heck can you give someone a brain, if you dont even have one yourself

Step-by-step explanation:

Answer:

7^-11

Step-by-step explanation:

Given the expression 7^-5 = blank × 7^6

Let the blank be x

7^-5 = x × 7^6

x = 7^-5/7^6

According to law of indices a^b/a^c = a^b-c

x = 7^(-5-6)

x = 7^-11

Hence the missing factor is 7^-11

Answer:

the answer to your question is 7.5

-10

Step-by-step explanation:

-17 + y = -27

+17        +17

y=-10

Answer: 10

Step-by-step explanation: y will be 10 i hope so it is -17 + 10 = -27

Answer:

$48

Step-by-step explanation:

23+25=48

Answer:

180

Step-by-step explanation:

if its

15 x (5-3+10)

Answer:

82

Step-by-step explanation:

15*5=75

75-3=72

72+10=82

Answer:

120kg, 72kg and 8kg

Step-by-step explanation:

Given the ratios 15:9:1

total ratio = 15+9+1 = 25

For the ratio of 15

Share = 15/25 * 200

Share = 3000/25

Share = 120kg

For the ratio of 9

Share = 9/25 * 200

Share = 1800/25

Share = 72kg

For the ratio of 1

Share = 1/25 * 200

Share = 200/25

Share = 8kg

Answer:

1/2

Step-by-step explanation:

Rise/run

Answer:

x = 2/5 or 0.4

Step-by-step explanation:

5x + 3 = 5

      -3   -3

5x = 2

/5    /5

x = 2/5 or 0.4

Answer:

x=3

Step-by-step explanation:

Answer:

slope = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex]  are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]

Thus, the slope is [tex]-\frac{1}{8}[/tex].

Answer:

C=-2

Step-by-step explanation:

Plus 14 to both sides then divide both side by -5

Answer:

median is 32 and the mean is 21

Answer:

22.6

Step-by-step explanation:

15-1   8-15

14^2     7^2

196+49

245

15.6

Answer:

11m

Step-by-step explanation: