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AnnyKZ [126]
3 years ago
8

I need help with geometry plz

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

Point A is -2, 1

Point B is -4, -2

Point C is -4, -6

and D is -1, 3.

Step-by-step explanation:

Irdk if this is all right bcz its kinda hard to see the exact points. Hope it is tho, and hope it helps you out! Good luck :P

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8. Simplify this expression. (3)10(3)–9
STALIN [3.7K]
Answer would be 81.
you multiply 3 x 10 x 3, which is 90. then subtract 9 from that and you end up with 81
4 0
3 years ago
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The table shows a person saving money at a constant rate. How much is this person saving per week?
padilas [110]

Answer:

We conclude that the person is saving $60 dollars per week.

Hence, option C is true.                        

Step-by-step explanation:

Given the table chart

Week                   Saving Money

2                           60

4                           120

6                           180

8                           240

We know to determine the slope to find the rate of change.

Taking the points (2, 60) and (4, 120)

Rate of change = Slope =  [y₂ - y₁] / [x₂ - x₁]

                                        = [120 - 60] / [4 - 2]

                                        = 60 / 2

                                        = $30 dollars per week

Now, taking the points (4, 120) and (6, 180)

Rate of change = Slope =  [180 - 120] / [6 - 4]

                                        = [60] / [2]

                                        = $30 dollars per week

Now, taking the points (6, 180) and (8, 240)

Rate of change = Slope =  [240 - 180] / [8 - 6]

                                        = [60] / [2]

                                        = $30 dollars per week        

  • This concludes that the rate of change is contant i.e. $30 dollars per week

Therefore, we conclude that the person is saving $60 dollars per week.

Hence, option C is true.                        

3 0
3 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
Your schedule should be A. flexible. B. doable. C. balanced. D. all of the above.
Veseljchak [2.6K]
The answer is D: all of the above .

8 0
4 years ago
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What is 1/7 -3/4 plz help
Ahat [919]
So in order to subtract you need a common denominator. So you multiply 3/4 by 7 and 1/7 by 4 and get 7/28 - 21/28 then you subtract and get - 14/28 or -1/2 if you want to simplify it.
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3 years ago
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