Mathematics High School

Question number 2.2.3 , please help .

Answers

Answer 1

Answer:

Proved below

Step-by-step explanation:

Question 2.2.3 says we should prove that;

√18 - √128 + 2^(2.5) = -√2

Breaking this down gives;

√(9 × 2) - √(64 × 2) + 2^(5/2)

This gives;

>> 3√2 - 8√2 + (2^(5))^(½)

>> 3√2 - 8√2 + √32

>> 3√2 - 8√2 + √(16 × 2)

>> 3√2 - 8√2 + 4√2

>> (3 - 8 + 4)√2

>> -√2

This is equal to the right hand side and so it is proved.

Related Questions

A train leaves at 14:03 and arrives at 16:22. It travelled at an average speed of 95 km/h. How far did it travel? Give your answer in km to 1DP.

Answers

Answer:

so it took it 2:03 to 4:22 it took the train an 2km to 50dp

Step-by-step explanation:

1 it is that you now 14 to 2 and 16 to 4 there you go

HELP NEEDED IMMEDIATELY WILL GIBE BRAINLEST

Answers

Answer and Step-by-step explanation:

The answer will be the first answer choice, in which both lines would be the same lines as the original shape.

This is because the figure is being dilated by the point P, so it will only increase in length one direction, instead of making the entire triangle get bigger and surround the original triangle.

#teamtrees #PAW (Plant And Water)

A statement can help you organize the numbers to answer a question about percents.

Use the drop-down menus to complete the statement below.

Answers

Answer:

x is 75% of $140

Step-by-step explanation:

I did this too and I got it right.

Two bugs run along the rectangular starting from the same corner. The bug who runs east is two inches per second faster than the bug who runs south. After one second, the distance between them is 10 inches

Answers

Answer:

6 and 8

Step-by-step explanation:

i need an answer asap please, it’s the last question

Answers

$8
2 pizzas = $24
5 drinks = $10
$6 tip
24+10+6 = 40
Since it’s 5 friends, divide by 5
40/5 = 8
Each person pays $8

f(x) = {2x + 3, x<0
3 - x, x 20

Answers

Answer:

I don't think you write out that explanation properly because I'm very confused.

Step-by-step explanation:

53) The price of a diner's meal is p dollars, including tax. If the diner adds a 20% tip to the price of the meal, which TWO expressions represent the total price of the meal, including the tip? * O A) 1 + 0.02p B) 0.8p C) 1.02p D) 1.2p E) P+0.2p

Answers

Answer:

Step-by-step explanation:

P +.20p and 1.2p

Sam sold half of his coins from his collection and then bought nine more. He now has sixteen.
Write an equation

Answers

x + 9 = 16

explanation : he bought nine more coins which made it 16. to find out how many coins he sold you would solve the equation then divide by 2.

hi i have a question about this

Answers

multiply the horizontal side by the vertical side to find the area

Just Multiply it enrnrnene

Suppose n is an integer. Is n2 +n always, sometimes, or never an even integer? Explain.

Answers

is the 2 an exponent? if so, it is always an even integer.

Please help due today

Answers

the answer is c
12.4 feet by 9.5 feet

The question is in the picture

Answers

Answer:

(8,-7)

Step-by-step explanation:

(8,7) flipped on the x is (8,-7)

What is the area of the figure?

Answers

Answer:

Step-by-step explanation:

the triangles are 12 and the square is 21 and yea

which of the following choices is true and the right answer in this picture?
Is it...
1.) meaning the 1st choice
2.) meaning the 2nd choice
3.) meaning the first 3rd choice
4.) meaning the first 4th choice

Shown in the picture below.

Answers

Answer:

la4

Step-by-step explanation:

(5)8

What is the total surface area of the rectangular prism in square centimeters?

Answers

Answer:

it is 102 cm²

Step-by-step explanation:

because you add 6+6+6+6+6+6+3+3+8.5= 102cm²

Combine the like terms to create an equivalent expression:
2r+1+(−4r)+7

Answers

Answer:

-2r+8

Step-by-step explanation:

Pretty sure the answer is -2r+8
Hope this helps :)

PLEASE HELP!!!!!!!!!!!!!
You have 4 ice cubes in your cup of lemonade. Each ice cube has a length of 7 3/4 cm, a width of 4 5/8 cm and a height of 2 4/5 cm. What is the total volume of all of the ice cubes? Explain how you used math to come to your decision.

Answers

Answer:

60.7

Step-by-step explanation:

multiply 7 3/4 by 4, then multiply 4 5/8 by 4, then 2 4/5 by 4, then add it all together to get your answer.

A bus service charges $1.75 per trip plus $0.50 for every
ten (10) miles.

Answers

Answer:

12122

Step-by-step

124r532623 2

what is the explanation to x^2 = -5x

Answers

*Answer*

x=0 or x=−5

Step-by-step explanation:

Let's solve your equation step-by-step.

x2=−5x

Step 1: Subtract -5x from both sides.

x2−−5x=−5x−−5x

x2+5x=0

Step 2: Factor left side of equation.

x(x+5)=0

Step 3: Set factors equal to 0.

x=0 or x+5=0

x=0 or x=−5

Unit 3 Test Part 2 - Josiah Ybarra
T
ZPOKI
Reset
12. The Johnson's are planning a family vacation
to.

Help me asp pls
Disney World that would cost their family $4500. If
they have $1200 in a family savings account and
plans to save $400 a month, write and solve the
equation that would represent how many months
will it take before they can go on their trip?

Need help asp plz

Answers

Answer

13 months.

Step-by-step explanation:

400 x 13 = 5200

Determine if the following is a rotation or a translation and then find the degree or distance of it.

please help me and provide explanation you will get marked as brainlist

Answers

Answer:

hi my name is chelsea and i wiuld like ti thank yiu fir the points

Answer:

180 deg rotation

Step-by-step explanation:

You can't simply translate the original figure into its image. You'd need a reflection or a rotation. For example, if you reflected triangle HTY over the x-axis, and then reflected it over the y-axis, you'd get triangle H'T'Y. The problem does not allow for reflections, so this cannot be used. That means you must use a rotation.

Use the origin as the center of rotation.

Rotate triangle HTY 180 degrees clockwise or counterclockwise.

You end up with the image.

Answer: 180 deg rotation

Using a system of equations, find two numbers whose sum is 26 and whose difference is 12.

Answers

answer:

sum: 19 + 7 = 26

difference: 19 - 7 = 12

step-by-step explanation:

the sum of x and y is 26. in other words, x plus y equals 26 and can be written as equation a:

x + y = 26

the difference between x and y is 12. in other words, x minus y equals 12 and can be written as equation b:

x - y = 12

now solve equation b for x to get the revised equation b:

x - y = 12

x = 12 + y

then substitute x in equation a from the revised equation b and then solve for y:

x + y = 26

12 + y + y = 26

12 + 2y = 26

2y = 14

y = 7

now we know y is 7. this means that we can substitute y for 7 in equation a and solve for x:

x + y = 26

x + 7 = 26

X = 19

good luck :)

hopefully, this helps

have a great day !!

What number is represented by the point plotted on the number line? A horizontal number line from negative 2 to 2, with arrows at each end. Major tick marks are at every 1 unit and the units are labeled below the number line. There are 5 evenly spaced minor tick marks between every 2 major tick marks. Point X is plotted on the third minor tick mark to the right of 1. 12 112 123 212

Answers

it’s a because the number line on the plot equals that

Answer:

-7/8

Step-by-step explanation:

The point is located between -1 minus, 1 and 0.

Let's zoom in on this piece of the number line. Each whole is split into eight equal parts, or eighths.

The point is located -7/8.

Please help! 50 points + brainliest

The following frequency table shows the observed high temperatures in Buffalo, New York, in May 2007.

Table image link: https://dw6y82u65ww8h.cloudfront.net/organisations/328/36daf134-883d-4846-af2b-8fd9357d20cf/buffalo_temp.gif

Which interval contains the median temperature?

a. 60 - 69
b. 80 - 89
c. 70 - 79
d. 50 - 59

Answers

Answer:

60-69

Step-by-step explanation:

On Monday, a local hamburger shop sold a combined total of 270
hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Monday?

Answers

I’m doing it for the points

in one revolution a circle covers a distance equal to its
a. radius
b. diameter
c. circumference
d. area

Answers

Answer:

the answer is C The distance covered in one revolution is equal to circumference of the circle.

7. Find the arc length. Leave your answer in terms of r.
14 cm
45°

Answers

Answer: 7/2π

Step-by-step explanation:

f(x)=x^2 + 3x - x over 2 f(6) = ?

Answers

Answer: 96

Step-by-step explanation:

f(6) 48

=2 x 48 = 96

Find the mean and median of the set of numbers:
5,9,3,5,3,5?

Answers

Both the median and mean are 5. If you line them up least to greatest (3,3,5,5,5,9), the one in the middle (the median) is 5. If you add them all up (30) and divide by the amount of original numbers (6) you get 5.

Help Please!!
The length of a rectangle is 7 inches more than 5 times its width. The area of the rectangle is 6 square inches. What is the width?

Answers

Answer: 3/5 inches

Step-by-step explanation:

l= 5w+7

A = wl

w(5w+7) = 6

5w²+7w = 6

5w²+7w -6 = 0

5w²+10w-3w-6=0

5w(w+2)-3(w+2)=0

(5w-3)(w+2)=0

5w-3=0 w+2=0

5w=3 w=-2in

w=3/5in

width cannot be negative, so the width is 3/5 inches.

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