How do you rationalize the denominator of a radical expression that has two terms in the denominator? (For example, the denominator is 1+√5.)

Given data

height (h) = 25 m ,

velocity (v) = ?

we know that,

                    v²-u² = 2as

                     initial velocity (u) = 0,

                                               a = g = 9.8 m/s ,

                 Now the equation becomes,

                                    v² = 2 × g × h

                                        = 2 × 9.8 × 25

                                    v² = 490.5

                                    v = √490.5

                                   v = 22.1 m/s

Therefore answer is C , i.e., 22 m/s

Answer:

1

Step-by-step explanation:

In sohcahtoa:

Cos (c) = adjacent (a) / hypotenuse (h)

cosA = adjacent / hypotenuse. The hypotenuse is 4.24 (the side opposite the right angle) and the side next to A is 3, so cosA = 3/4.24

cosB = adjacent/hypotenuse. The side next to B is 3, so cosB = 3/4.24 as well

Therefore, cosA = cosB

cosA/cosB = cosA/cosA = 1

Answer:

− 8 x ^2  +  10 x

Step-by-step explanation:

We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:

We start by defining the two variables we will be using:

First, Pythagoras loses 13 lb, then his new weight is:

P' = P - 13lb

We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.

A) using the above information we can rewrite:

P - 13lb + 1.2*E = P - 1lb

This is the equation we need to solve.

b) So we want to solve this for E, then we move all the other terms to the right side:

1.2E = P - 1lb - P + 13lb

1.2E = 12lb

E = (12lb)/1.2 = 10lb

c) The solution of the above equation tells us that the weight of the dog is 10lb.

d) Let's define R as the weight of the third dog.

We know that:

R = 2*E = 2*10lb = 20lb

We also know that the combined weight of the 3 dogs is 63 lb, then we have:

E + R + P = 63lb

10lb + 20lb + P = 63lb

P = 63lb - 10lb -20lb = 33lb

If you want to learn more about algebra, you can read:

https://brainly.com/question/20607627

Answer:

55º

Step-by-step explanation:

The 125º angle makes a straight angle (180º) with the one next to it. This makes the angle next to it (adjacent angle) 55º. According to the rules of a transversal, the adjacent angle said above and angle 2 are alternate interior angles, making them equal.

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

Answer:

4 * 4 ÷ 4 = 4

8 ÷ (2*2) = 2

Step-by-step explanation:

[tex]4 * 4 \div4\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\4 * 4 \div4\\\\4 * 1\\\\\boxed{4}[/tex]

==============================

[tex]8 \div (2*2)\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\8 \div (2*2)\\\\8 \div 4\\\\\boxed{2}[/tex]

I hope this helps.

Answer:

b/a = 3

Step-by-step explanation:

f(x) / (x²-4x-12) = Q(x) + (x+6)/(x²-4x-12)

f(x) = Q(x)*(x²-4x-12) + (x+6)

x= - 2   ... when f(x) is f(-2)        x²-4x-12 = 4+8-12 = 0

a = f(-2) = Q(x)*0 + (-2 + 6) = 4

x= 6   ... when f(x) is f(6)        x²-4x-12 = 36-24-12 = 0

b = f(6) = Q(x)*0 + (6 + 6) = 12

b/a = 12/4 = 3

Answer:

Step-by-step explanation:

0 can't have a direction. It does not move. It has no speed component. Therefore 0 m/s south is not the answer.

45 m/s has no direction stated. It is just a speed, not a velocity.

45 m/s north is a velocity. It has both speed and direction.

Answer:

x>-1

Step-by-step explanation:

8x>2-10

8x>-8

x>-1

Answer:

x>-1

interval notation: (-1,infinty)

Answer: 4

Step-by-step explanation: You multiplied 2 and 2 which equals to 4

Answer:

9

Step-by-step explanation:

9 9 9 9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9 9  9 9 9 9 9

Answer:

441 millimeters of compound B

Step-by-step explanation:

4 + 7 = 11

693/11 = 63

7 · 63 = 441

Answer:

(0,-15)

Step-by-step explanation:

i think.. trust someone else!! I'm not 100% sure...

Answer:

code is 4163

Step-by-step explanation:

x-35=27;x=64

-96=-8x;x=12

6=x/4 +2;x=16

76-3x=-29; x=31

code is 4163

Answer:

at least 8

Step-by-step explanation:

im from k12

Answer:

indeed

Step-by-step explanation:

3+3=6

Check the picture below.

Answer:

180

Step-by-step explanation:

add 1% to 31.50 to get 31.815

then take the total 5276.70 and divide by 31.815

Check the picture below.

btw, when Pythagoras said the square of this equals that and so on, he really meant the square or square area.

Answer:

10x - 2y

Step-by-step explanation:

simplify the expression.

8x–2y + x + x

combine numbers that have the same variables

8x + x + x

*those x have 1 coefficient each.

it will be 8x+1x+1x = 10x then –2y

10x–2y.

Hope it helps :)

Answer:

The black car

Step-by-step explanation:

First, we need to fin the mile to gallon ratio.

To get this we would divide the number of miles by the gallon for each car

Green Car:

18.4/0.8

23 miles per gallon

Black car:

17.4/0.75

23.2 miles per gallon

In conclusion, The black car would travel further on one gallon of gas than the green car would.

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

Answer:

  C.  90

Step-by-step explanation:

The numbers being multiplied are "factors." The result of multiplication is a "product." In this problem, the product is 90.

Answer:

D

Step-by-step explanation:

yeah-ya....................... right?

Answer:

D

Step-by-step explanation:

hope it help correct me if wrong

Answer:

a b and j?

Step-by-step explanation:

Answer:

290

Step-by-step explanation:

(16+13)(12-2)= 29 * 10 = 290

Answer:

290

Step-by-step explanation:

(16+13)(12-2)

29*10

290

Answer:

see explanation

Step-by-step explanation:

9W + 1 = 19 ( subtract 1 from both sides )

9W = 18 ( divide both sides by 9 )

W = 2

Answer:

3.5

Step-by-step explanation:

the problem says 4.7 less than which refers to subtraction so we can plug our numbers into a subtraction problem like so

78.6-4.7 which equals 73.9

the second part of the problem asks the difference between yesterday's low and today's.

we can take the two lows and subtraction them to find this answer.

77.4-73.9 which equals 3.5

so today's low was 3.5 degrees cooler than yesturdays

Answer:

-18x^2+39x+7

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

add 3/4 and 3/4 to get 6/4 then get 1/2 times the bottom and the top but 2 to get 2/4 so then do 6/4 - 2/4 to get 4/4 or 1

add 10,8 to get 18 then subtract 6 to get 12 then all the 1 and you get your answer. Hope this helped

Answer:

13

Step-by-step explanation:

Convert 10 3/4

to an improper fraction.

43/4 + 8 3/4 − 6 1/2

Convert 8 3/4

to an improper fraction.

43/4 + 35/4 − 6 1/2

Convert 6 1/2

to an improper fraction.

434 + 354 − 132

Combine fractions.

78/4 + −13/2

Simplify each term.

39/2 − 13/2

Combine fractions.

13

Answer:

80 square metres

Step-by-step explanation:

A = L× w

= 72×20

= 1440

answer ÷ 18 = 80

We need slope/rate of the table

[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{4-2}{6-3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{2}{3}[/tex]

Slopes of all options

Option D is correct

Option