Which ordered pair is a solution of the inequality? y is greater than or equal to 4x-5

Please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.

Ipatiy [6.2K]

Answer:

$\bigg(\frac{2}{3} {y} \bigg)^{2}$

STEP BY STEP EXPLANATION

$\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\$

To make $\red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}}$ a perfect square we should add $\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}$

8 0

2 years ago

Read 2 more answers

FINDDD VALUE OF Y!!!!

solmaris [256]

Answer:

The sum of the internal ángles = 360°

(3y+40)° and (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360 ⇒ first eq.

(3y+40) + (3x-70) = 180 ⇒ second eq

development:

from the first eq.

3x + x + 3y = 360 + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270 ⇒ third eq.

3y = 270 - 4x

y = (270 - 4x) / 3 ⇒ fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210 ⇒ fifth eq.

multiply by -1 the fifth eq and sum with the third eq.

-3y - 3x = -210 ⇒ (fifth eq. *-1)

3y + 4x = 270

⇒ 0 + x = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

7 0

3 years ago

Multiply<br> 2y-2u9•3y9•u6<br> Simplify your answer as much as possible.

natima [27]

Step-by-step explanation:

this is you answer solved.

7 0

3 years ago

What shapes does a kite consist of?

Oduvanchick [21]

Step-by-step explanation:

A kite is a special case of quadrilateral. In which larger diagonal bisects the smaller diagonal at right angle.

A kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other. In contrast, a parallelogram also has two pairs of equal-length sides, but they are opposite to each other rather than adjacent.

4 0

3 years ago

(PLEASE HELP ASAP)

UNO [17]

9514 1404 393

Answer:

A. 3×3

B. [0, 1, 5]

C. (rows, columns) = (# equations, # variables) for matrix A; vector x remains unchanged; vector b has a row for each equation.

Step-by-step explanation:

A. The matrix A has a row for each equation and a column for each variable. The entries in each column of a given row are the coefficients of the corresponding variable in the equation the row represents. If the variable is missing, its coefficient is zero.

This system of equations has 3 equations in 3 variables, so matrix A has dimensions ...

A dimensions = (rows, columns) = (# equations, # variables) = (3, 3)

Matrix A is 3×3.

__

B. The second row of A represents the second equation:

$0x_1+1x_2+5x_3=-1$

The coefficients of the variables are 0, 1, 5. These are the entries in row 2 of matrix A.

__

C. As stated in part A, the size of matrix A will match the number of equations and variables in the system. If the number of variables remains the same, the number of rows of A (and b) will reflect the number of equations. (The number of columns of A (and rows of x) will reflect the number of variables.)

6 0

3 years ago