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3 years ago

GUYS PLEASE HELP ASAP I WILL MARK BRAINLIEST WITH BEST ANSWER!

2 answers:

8 0

So first do 49x3 to see what Henrik has in his other field. 49x3=147 Since Henrik has another field with 173 potatoes you will add them together 173+147=320 potatoes

lubasha [3.4K]3 years ago

3 0

Multiply 49 by 3 and add that answer to 173

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Which of the following is equivalent to (2x + 3)(2x + 3)?

Kryger [21]

Answer:

$(2x+3)(2x+3)=4x^2+12x+9$

Step-by-step explanation:

we are given

$(2x+3)(2x+3)$

Firstly, we will distribute it

$=2x\times 2x+2x\times 3+3\times 2x+3\times 3$

now, we can simplify it

$=2\times 2\times x\times x+2\times 3x+3\times 2x+9$

$=4x^2+6x+6x+9$

$=4x^2+12x+9$

so, we get simplified term as

$(2x+3)(2x+3)=4x^2+12x+9$

7 0

4 years ago

Read 2 more answers

Over several months, a meteorologist recorded a total snowfall of 8.6 centimeters. During this period, the average monthly snowf

Svetlanka [38]

He recorded the snowfall for 2 months

7 0

3 years ago

Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 3/4 for the flowers to l

Korvikt [17]

The answer should be 37

8 0

4 years ago

Question is attached

Neporo4naja [7]

Answer: C

Step-by-step explanation: The standard equation is Ax + By = C

To solve for this, first solve for the slope: y2 - y1 / x2 - x1

0 - 5 / 4 - 0 = -5 / 4

Plug the slope and ordered pair of (0, 5) into the equation y - y1 = m(x - x1)

y - 5 = -5/4(x - 0)

Add 5 to both sides: y = -5/4x + 5

Subtract y and 5: -5 = -5/4x - y

Multiply the entire equation by 4: -20 = -5x - 4y

(or multiply entire equation by -4 to get 20 = 5x + 4y)

7 0

4 years ago

Use Cramer Rule to solve the following system: 8x−5y=70 and 9x+7y=3

nlexa [21]

Answer:

$(x,y) = (5,-6)$

Step-by-step explanation:

$\underline{\textbf{Determinant of a matrix.}}\\\\\text{For a}~ 2 \times 2 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2\\b_1&b_2 \end{vmatrix} = a_1b_2 - a_2b_1\\\\\\\text{For a}~ 3 \times 3 ~ \text{matrix,}\\\\\begin{vmatrix} a_1&a_2&a_3\\ b_1&b_2&b_3\\ c_1&c_2&c_3 \end{vmatrix} = a_1\begin{vmatrix} b_2&b_3\\c_2&c_3 \end{vmatrix} - a_2 \begin{vmatrix} b_1&b_3\\c_1&c_3 \end{vmatrix}+ a_3 \begin{vmatrix} b_1&b_2\\c_1&c_2 \end{vmatrix}\\\\\\$

$~~~~~~~~~~~~~~~~~~=a_1(b_2c_3-b_3c_2) -a_2(b_1c_3-b_3c_1) +a_3(b_1c_2-b_2c_1)$

$\underline{\textbf{Cramer's Rule to solve a system of two equations.}}\\\\\text{Consider the system of two equations:}\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_1x + b_1 y= c_1\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~a_2x +b_2 y = c_2\\\\\text{Here,}\\\\x = \dfrac{D_x}{D}= \dfrac{\begin{vmatrix} c_1&b_1\\c_2&b_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\\\ y= \dfrac{D_y}{D}= \dfrac{\begin{vmatrix} a_1&c_1\\a_2&c_2 \end{vmatrix}}{\begin{vmatrix} a_1&b_1\\a_2&b_2 \end{vmatrix}}\\\\$

$\underline{\textbf{Solution:}}\\\\~~~~~~~~~~~~~~~~~~~~~~~8x-5y = 70~~~~~~...(i)\\\\~~~~~~~~~~~~~~~~~~~~~~~9x +7y = 3~~~~~~~...(ii)\\\\\text{Applying Cramer's rule:}\\\\x = \dfrac{D_x}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 70& -5 \\3&7 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{70(7) -(-5)(3)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{490+15}{56+45}\\\\\\~~=\dfrac{505}{101}\\\\\\~~=5$

$y = \dfrac{D_y}{D}\\\\\\~~=\dfrac{\begin{vmatrix} 8& 70 \\9&3 \end{vmatrix}}{\begin{vmatrix} 8& -5\\ 9& 7\end{vmatrix}}\\\\\\~~=\dfrac{(8)(3) -(70)(9)}{(8)(7)-(-5)(9)}\\\\\\~~=\dfrac{24-630}{56+45}\\\\\\~~=-\dfrac{606}{101}\\\\\\~~=-6$

$\textbf{Hence, the solution to the system of equation is}~ (x,y) = (5,-6)$

7 0

2 years ago