Simplify the following surd expressions.
a) 5 square root of 5 - 2 square root of 5
b) 8 square root of 7 + 3 square root of 7

Answers

Answer 1

Answer:

A=3√5

B=11√7

Step-by-step explanation:

5√5-2√5

5-2√5

3√5

B) 8√7+3√7

8+3√7

11√7


Related Questions

A group of people planned to go to the amusement
park. Adult tickets are $45.00 and child tickets are $20.
There are two adults in the group. If the budget for the
trip is $600, what is the greatest number of children
that can attend.

Answers

Answer:the greatest amount of children that can go is 30

Step-by-step explanation:

$20 x 30= $600

Identify the equation of the line graphed (I need help can someone explain)

Answers

Answer:

D.) 5x - 2y = 2

Step-by-step explanation:

1. Find all of the options and convert them to slope-intercept form by isolating y. If you isolate y on all of them, you should get that A is y =-2/5x - 1, B is y = 2/5x - 1, C is y = -5/2x - 1, and D is y = 5/2x - 1.

2. Use logic. This line cannot be negative, because negative lines go up to down, not down to up. That cancels out the possibility of A.) and C.) being answers. Now, we know that the slope has to be more than 1 because it is more compressed than that of a line with a slope of 1. The only slope that is more than 1 is D, so that makes D the answer (If you didn't understand this step, go to step 3).

3. Find the slope (This step does not need to be done if you understood Step 2). Take 2 points to be able to find the slope. Two random points on this line are (2,4) and (0,-1). Next, plug them into the formula to find slope. 4-(-1)/2-0 = 5/2, so the slope is 5/2. The only equation with a slope of 5/2 is D. D is the answer.

Answer: D.) 5x - 2y = 2

andy incorrectly solved an equation and showed his work.

step 1: 5 (2r + 5) = 100
Step 2: 10x + 5 = 100
Step 3: 10x = 95
Step 4: x = 9.5

What error did Andy make, and what is the correct solution to his problem?

a: Andy made an error with the distributive property in step 2, x = 7.5

b: Andy made an error with the distributive property in step 2, x= 12.5

c: Andy made an error with the associative property in step 2, x= 7.5

d: Andy made an error with the subtraction property in step 2, x= 12.5​

Answers

the answer is A. this is because when andy distributed the 5 from the outside of the parenthesis to the inside, he multiplied 5•5 to equal 10, and 5•5 is 25.

given the domain (-2,2,4) what is the range for the relation 3x + y = 3?

Answers

Answer:

D

Step-by-step explanation:

The answer to this question is D.

If 2 (3t - 10) + t = 40 + 4t, what is the value of 3t?

Answers

Answer:

3t = 60

Step-by-step explanation:

2(3t - 10) = 40 + 3t

6t - 20 = 40 + 3t

3t - 20 = 40

3t = 60

If you need to simplify that then the answer would be t = 20.

3t will equal to 60 yea

The car traveled 42.5 miles per gallon of gas. If the gas tank in the car could hold 16.5 gallons, how far can the car travel on one tank of gas? (Don't round answer)

Please, help I am really confused!

Answers

Answer:

2.57575758

Explanation:

42.5 / 16.5

A driver is 15 feet below the surface of the water 10 seconds after he entered the water and 90 feet below the surface after 40 seconds. What is the rate of change?

Answers

Answer:

[tex]\frac{-75ft}{30sec}[/tex] or simplified would be [tex]\frac{-2.5ft}{sec}[/tex]

Step-by-step explanation:

In order to calculate the rate of change, we must subtract his end position and end time by the starting position and starting time. We are using the -15 feet since it is below the surface area as the starting position and the 10 seconds as the starting time. We make each of these into a fraction and subtract like so...

[tex]\frac{-90ft - (-15ft)}{40sec - 10sec} =[/tex] rate of change

[tex]\frac{-75ft}{30sec} =[/tex] rate of change

[tex]\frac{-2.5ft}{sec}[/tex] = rate of change

Therefore, we can see that the rate of change of the diver is [tex]\frac{-75ft}{30sec}[/tex] or simplified would be [tex]\frac{-2.5ft}{sec}[/tex]

PLEASE. HELP. ME.
Find the slope and equation, Select all.
that apply
b. Slope is zero
c. Slope is undefined

Answers

Answer:

C

Step-by-step explanation:

Because as it says the slope is unidentified well.....it is

evaluate the Expression when b=3

[tex] {b}^{2} - 6b - 5[/tex]

Answers

now let’s evaluate this down if b=3 then you do 3x3 because b is squared which equals 9 then we do 6b which is 18, so 9-18 is (-9) then we do -9 - 5 which is -14

How does anyone know how to prove parallel lines, especially when there are two pairs of them?

Answers

Answer:

Step-by-step explanation:

If two lines are cut by a transversal so that any pair of alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal so that any pair of corresponding angles are congruent, then the lines are parallel. You can use these converses to decide whether two lines are parallel.

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions. If x represents the number of hand soaps and y represents the number of lotions she bought, which inequality best represents her purchase?

x + y 12
x + y ≤ 12
x + y ≥ 12

Answers

Answer:

the answer is b

Step-by-step explanation:

edge 2021

The inequality which best represents the purchase is x + y > 12.

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

At an end of the year sale, Gabriela bought more than 12 bottles of hand soaps and lotions.

Let x represents the number of hand soaps she bought.

Let y represents the number of lotions she bought.

x + y is more than 12.

So the inequality is,

x + y > 12

Hence the correct inequality is x + y > 12.

Learn more about Inequalities here :

https://brainly.com/question/28823603

#SPJ7

Evaluate the expression when =y−7.
y^2+4y-5

Answers

(-7)^2 + 4(-7) -5
= 49 - 28 -5
= 16

what is the slope in the equation y=2x + 3?

Answers

Answer:

the answer is m = 2

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps

Answer:

Slope=2

Step-by-step explanation:

Remember the equation: y=mx+b

m: is your slope

b: is your  y-intercept

A twelve-hour clock is set at the correct time on the afternoon of May 17th. Somebody knocked the clock off the wall and now it loses 6 minutes per day. How much time will the clock be behind 3 weeks later?

Answers

Answer:

126 minutes (or 2 hours and 6 minutes)

Step-by-step explanation:

7 days in a week times 3 weeks = 21 days

6 minutes a day times 21 days = 126 minutes behind

What is the length of the radius of a circle with center (10, -14) that is tangent to the line
x=13?

Answers

Answer:

length of radius of a circle = 3

Step-by-step explanation:

a tangent line touches the circle at one point

if the tangent line is at x=13 (vertical line) and the center of the circle is

(x,y) = (10,-14) with its center x at 10; then take the difference to find the radius;

x(tangent line) - x(center of circle) = radius of circle

length of radius of a circle = 13-10 = 3

you can also graph the circle and draw the tangent line to find the radius

The length of the radius of a circle as described in the question is; 14.32

The center of the circle is at; (10, -14)

The line that is tangent to the circle is; x = 13.

The coordinate of a point on the line is therefore; (13, 0)

The length of the radius of the circle can.be obtained from Pythagoras theorem as;

(Radius)² = (13-10)² + (-14-0)²

(Radius)² = (3)² + (-14)²

(Radius)² = 9 + 196

Radius = √205

Radius = 14.32

Read more:

https://brainly.com/question/10443107

Write an equation in point slope form of the line passes through the point (-6,6) ) and has a slope of m=3/2

Answers

Answer:

slope intercept would be y=3/2x+15

and

point slope would be y-6=3/2times(x+6)

Step-by-step explanation:

What is the expected value of the random variable with the given probability distribution? If necessary, round your answer to the nearest hundreth.

A) 0.62
B) 1.62
C) 3.70
D) 4.33

Answers

ANSWER: D)4.33




EX: 4.33

on a number line, 1.38 would be located. choose all answers that make a true statement
A. to the right of 1.29
B. to the left of 1.36
C. between 1 and 2
D.between 0 and 1

Answers

Awnser: C, A.

Reasoning: On a number line, the bigger number is to the right tthe lower number. for A. For C, it is between 1 and 2 because the number is 1.38.

Write a situation that could be represented by the algebraic expression 3a + 2.15.

Answers

Answer:

5.15

Step-by-step explanation:

5.15 = 3a + 2.15

5.15 - 2.15 = 3a

3.15 = 3a

a = 0.05

I hope this helps you :)

Anyone know da answer?

Answers

The first one is subtraction
The second one is addition
The third one is division
The last one is multiplication
Hope I helped :)

3
..
4) through: (-2,5), slope
2.

Answers

Answer:

y - 5 = 2(x + 2)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Slope m = 2

Point (-2, 5)

Step 2: Create equation

y - 5 = 2(x + 2)

Berks Lanes charges $4 per game of bowling and $5 for the shoe rentals. If Roberto met his friends to play and paid for 5 games and one shoe rental, how much did he pay in all?

Answers

25 $.

4 (dollars per game) x 5 (how much games) = 20.
+ 5 $ for one shoe rental.

A cheetah runs at an average speed of 50 mph between two jungles that are 150 miles apart. An antelope runs at an average speed of 30 mph, a lion runs at an average speed of 25 mph, and an elephant runs at an average speed of 15 mph. How long does it take each animal to run to the second jungle?

Answers

Cheetah: 3 hours
Antelope: 5 hours
Lion: 6 hours
Elephant: 10 hours

The table below lists the scores for a game of cards in which the highest score wins. Players A, B, C, and D recorded their scores for each round, but they did not total the scores until the end of the game.
Rounds: 1 2 3 4 5 6 7 8
A 130 64 0 -14 -78 158 -68 50
B 72 97 13 -7 120 57 80 -37
C -26 45 109 -9 67 -56 105 0
D -47 54 126 0 -65 95 144 -6

If the game ends after 5 rounds, which answer choice correctly lists the order of the players from lowest score to highest score?
F. A, B, C, D
G. D, A, C, B
H. D, C, B, A
J. D, B, A, C

Answers

Answer:

D, A, C, B.

Step-by-step explanation:

The scores at the end of the 5th round are 102, 295, 186, and 68.

Your bike has a wheel diameter of 29 inches. You are traveling and your wheels are rotating at 148 revolutions per minute. What is the bicycle speed in miles per hour. (Round your answer to the nearest 1000th)

Answers

Answer:

12.77 miles per hour

Step-by-step explanation:

Step 1

Convert the diameter from inches to feet

Your bike has a wheel diameter of 29 inches.

1 inch = 0.0833 feet

29 inches =

29 × 0.0833 feet

= 2.41667 feet

Step 2

Circumference of the tire = πD

= π × 2.41667 feet

= 7.5921927182 feet

Step 3

The number feet traveled per hour is

148 revolutions per minute × 7.5921927182 feet

= 1123.6445223 feet per minute

60 minutes = 1 hour

Hence,

1123.6445223 × 60 =

67418.671337 feet per hour.

Converting from Feet per hour to Miles per hours

1 mile = 5280 feet

= 67418.671337 feet per hour/5280 feet

= 12.768687753 miles per hour

Approximately = 12.769 miles per hour

What is the solution for the equation 8x - 12 - 4x?
Ox=48
Ox30
OX3
Ox 1
HELP PLEASE

Answers

Answer:

the answer is x= 3

Step-by-step explanation:

.........

help asap pleaseee!!!

Answers

Since it is asking you to graph heres what it should look like. Since -4/3 is the slope it should be a negative line (going down) and the 8 is the y-intercept (where the line hits the y axis) And I didnt draw the numbers because it's going by 1's. Hope this helps!

1.The following points (-4, -5), (-1, -5), (0, -5), (4, -5) are drawn on a coordinate plain. What is the domain of this function? *
A.{-5}
B.{-4, -1, 0, 4}
C.Not enough information
2.The following points (-4, -5), (-1, -5), (0, -5), (4, -5) are drawn on a coordinate plain. What is the range of this function? *
A.{-5}
B.{-4, -1, 0, 4}
C.Not enough information
3.The following points (-4, -5), (-1, -5), (0, -5), (4, -5) are drawn on a coordinate plain. What is the slope of this line? *
A.Not enough information.
B.-5
C.0
D.Undefined

Answers

Answer:

1). (B) ; 2). (A) ; 3). (C)

Step-by-step explanation:

1). { - 4, - 1, 0, 4 }

2). { - 5 }

3). m = 0

You and your cousin are walking through the lunchroom when you both trip. Your trays hit the ground and both lunches fly through the air in parabolic paths until they hit your friend on the top of the head. If your lunches had not landed on your friend’s head, then your hamburger would have landed on the floor 12 feet away and your cousin’s chili would have landed 16 feet away. Your hamburger reaches a height of 13 feet and your cousin’s chili reaches a height of 6 feet. How tall is your friend? Explain.

Answers

Answer: quit

Step-by-step explanation:

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h. Part A Write the function that models their distance from home as a function of time. f(x) = x + Part B What is a reasonable domain for this situation? ≤ x ≤

Answers

f(x) = 50x + 20
y= 50x + 20
120 = 50(2) + 20
0 <(or equal to) x <(or equal to) 2

their distance from home as a function of time

[tex]f(x)=50x+20[/tex]

The reasonable domain for this situation is

[tex]0\leq x\leq 2[/tex]

Given :

Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are driving at a constant rate of 50 mi/h.

Given driving speed is 50 miles per hour

They already travelled 20 miles. We need to frame linear equation because we are given with constant rate.

Linear equation is [tex]f(x)=mx+b[/tex]

where m is the constant rate and b is the initial miles travelled

m=50 and b=20

the function f(x) is the distance from home

[tex]f(x)= 50x+20[/tex]

Now we find out the domain x. Given that they travelled 120 miles

so f(x) is 120

[tex]120=50x+20\\120-20=50x\\100=5x\\x=2[/tex]

Domain is the number of hours travelled

hours cannot be negative . So the domain x for this situation is

[tex]0\leq x\leq 2[/tex]

Learn more : brainly.com/question/6370880

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