MATHEMATICS HIGH SCHOOL

What must be added to
2x² - 3 xy + 5yz to get x² - xy + y²​

Answers

Answer 1
Answer:

Answer:

  • -x² + y² + 2xy - 5yz

Step-by-step explanation:

"A" must be added to  first expression to get the second one:

  • A + 2x² - 3 xy + 5yz =  x² - xy + y²​
  • A = ?

------------------------

  • A = x² - xy + y²​ - (2x² - 3 xy + 5yz) =
  • x² - xy + y²​ - 2x² + 3 xy - 5yz=
  • -x² + y² + 2xy - 5yz

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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

In the addition problem below, different letters stand for different digits. What five-digit number does SERVE represent?V C R + V C C T = S E R V E

Answers

Answer:

Hi,

10390

Step-by-step explanation:

SERVE is 10390

943+9447=10390

Which function’s domain consists of only real numbers greater than 3?

Answers

Hi,

Theoretically, there is an infinity of such functions. Few examples:

f(x)=ln(x-3), or f(x)=lg(x-3), where ln is natual logaritm, and lg is decimal logaritm.

Green eyes.

What is the degree of the monomial 7x^8

Answers

The given monomial is

7x^8

And degree is the highest exponent of the constant .

For e.g.

Degree of x^5 is 5 since 5 is the exponent of x here. And in the given question,  Here the constant is x.

And the exponent of x is 8 .

Therefore the degree of the given monominal is 8 .
it is to the power of 8

Which numbers multiply to 50 and add to 6

Answers

xy = 50
x + y = 6

xy = 50
(xy)/(x) = (50)/(x)
y = (50)/(x)

x + y = 6
x + (50)/(x) = 6
(x^(2))/(x) + (50)/(x) = 6
(x^(2) + 50)/(x) = 6
x^(2) + 50 = 6x
x^(2) - 6x + 50 = 0
x = \frac{-(-6) \± \sqrt{(-6)^(2) - 4(1)(50)}}{2(1)}
x = (6 \± √(36 - 100))/(2)
x = (6 \± √(-64))/(2)
x = (6 \± 8i)/(2)
x = 3 \± 4i
x = 3 + 4i    or    x = 3 - 4i

       x + y = 6
    3 + 4i + y = 6
- (3 + 4i)      - (3 + 4i)
                 y = 3 - 4i
           (x, y) = (3 + 4i, 3 - 4i)

                   or
          x + y = 6
    3 - 4i + y = 6
- (3 - 4i)      - (3 - 4i)
                y = 3 + 4i
          (x, y) = (3 - 4i, 3 + 4i)

(x, y) = (3 ± 4i, 3 ± 4i)

The two numbers that multiply to 50 and add up to 6 are 3 ± 4i.

Factor by using the perfect-square trinomial formula.

100x^2+20x+1

Answers

to factor first multily 100 and 1 and get 100

then find what 2 numbers multiply to get 100 and add to get 20

the numbers are 10 and 10

so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
sincethis is a perfect square problem, the answer will be in the form (ax +b) ^ 2. what can you tell from looking at the original equation? x^2does not have a coefficient in front of it, so a = 1. the second term isnegative, so b must be negative. finally, the last number 100 is thesquare of + or - 10, so b must be +10 or -10, but we already figured bhas to be negative, so b = -10

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