MATHEMATICS HIGH SCHOOL

If x-y=9 and xy=2,find the value of (x square + y square)

Answers

Answer 1
Answer:

Answer:

x² + y² = 85

Step-by-step explanation:

Using the expansion

(x - y)² = x² + y² - 2xy , then

x² + y² - 2xy = (x - y)² ( add 2xy to both sides )

x² + y² = (x - y)² + 2xy ← substitute given values

          = 9² + 2(2)

          = 81 + 4

          = 85

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How can you use the multiplication property of equality to rewrite the equation 0.6x + 4.8 = 7.2

Answers

0.6x + 4.8 = 7.2 

0.6x=7.2-4.8 

0.6x=2.4 

x=4
answer is  06xmas4.8 divido 72  is 04

Is -5 equal to 5? I need help

Answers

Answer:

yes

Step-by-step explanation:
Yes It is I think! There’s no difference so it should be yes! It’s the same thing! If you do get this wrong I am very sorry! I just think it is!

Could anyone help with math?? Will up vote, thanks!If a cone-shaped vase can hold 45 cubic centimeters of water and has a radius of 2 centimeters, what is the height of the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.

7.45 centimeters
10.75 centimeters
14.33 centimeters
22.50 centimeters

Answers

Answer:

The height of the cone is 10.75 cm.

Step-by-step explanation:

Given the volume of cone = 45 cubic cm

Radius of the cone = 2 cm

Height of the cone = ?

The volume formula of cone is = \pi r^(2) (h)/(3)

45= 3.14*2*2* (h)/(3)

=> 45*3 =12.56h

=> 135=12.56h

h = 10.748 ≈ 10.75 cm

So, the height of the cone is 10.75 cm.
volume of a cone  V = pi * r * r * h / 3
so V = 45, r = 2 therefore 45 = 3.14 * 2 * 2 * h /3  => 45 = 3.14 * 4 * h /3
=> 135 = 3.14 * 4 * h  => 33.75 = 3.14 * h  => 10.75 = h
height = 10.75 cm rounded to 2 decimal places

It takes Andre 4 minutes to swim 12 laps how many laps per minute

Answers

Answer: 3 laps

Step-by-step explanation:

To find out how many laps Andre swims per minute, we divide 12 by 4.

12/4 = 3

Un técnico de reparaciones de electrodomésticos cobra 25 € por la visita, más 20 € por cada hora de trabajo. A) Escribe la expresión algebraica (fórmula) que nos da el dinero que le tenemos que pagar en total de acuerdo con el tiempo que esté trabajando

Answers

Answer:

x= 25+20y

Step-by-step explanation:

De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:

x= 25+20y, donde

x= valor total a pagar

y= número de horas trabajadas

I really need help with that

Answers

Given:

1/8 x 4 = (1*4) / 8 = 4/8 = 1/4
1/4 x 3 = (1*3) / 4 = 3/4
3/8 x 2 = (3*2) / 8 = 6/8 = 3/4
1/2 x 3 = (1*3) / 2 = 3/2 = 1 1/2
5/8 x 1 = 5/8
7/8 x 1 = 7/8
3/4 x 1 = 3/4

Total number of tomatoes = 4 + 3 + 2 + 3 + 1 + 1 + 1 = 15 tomatoes
Total weight = 1/4 + 3/4 + 3/4 + 3/2 + 5/8 + 7/8 + 3/4

1/4 * 2/2 = 4/8
3/4 * 2/2 = 6/8
3/2 * 4/4 = 12/8

4/8 + 6/8 + 6/8 + 12/8 + 5/8 + 7/8 + 6/8 = 46/8 total weight in pounds

46/8 ÷ 15 tomatoes = 46/8 * 1/15 = 46/120 = 23/60 average weight per tomato
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