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beks73 [17]
3 years ago
7

Quadrilateral GHIJ has coordinates G(5, 1), H(4, -3), I(6, -1), and J(2, 1). If the quadrilateral is reflected over the line y =

-x, what are the coordinates of G'?​
Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

Where is the diagram

Step-by-step explanation:

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HELP PLS GIVING BRAINLIEST
Setler79 [48]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

y = mx+b

Where:

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b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

(0,1)\\(1, -2)

We found the slope:

m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3

So, the equation is of the form:

y = -3x + b

We substitute a point to find "b":

1 = -3 (0) + b\\1 = b

Finally, the equation is:

y = -3x+1

Answer:

Option C

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3 years ago
ASAP <br><br> -JUST ANSWER- PLSSSSS
Leviafan [203]

Answer:

D 100 revolution is your answer

5 0
3 years ago
Number 1d please help me analytical geometry
lesantik [10]
For a) is just the distance formula

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;A&({{ x}}\quad ,&{{ 1}})\quad &#10;%  (c,d)&#10;B&({{ -4}}\quad ,&{{ 1}})&#10;\end{array}\qquad &#10;%  distance value&#10;\begin{array}{llll}&#10;&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;\sqrt{8} = \sqrt{({{ -4}}-{{ x}})^2 + (1-1)^2}&#10;\end{array}
-----------------------------------------------------------------------------------------
for b)  is also the distance formula, just different coordinates and distance

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;A&({{ -7}}\quad ,&{{ y}})\quad &#10;%  (c,d)&#10;B&({{ -3}}\quad ,&{{ 4}})&#10;\end{array}\ \ &#10;\begin{array}{llll}&#10;&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;4\sqrt{2} = \sqrt{(-3-(-7))^2+(4-y)^2}&#10;\end{array}
--------------------------------------------------------------------------
for c)  well... we know AB = BC.... we do have the coordinates for A and B
so... find the distance for AB, that is \bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;A&({{ -3}}\quad ,&{{ 0}})\quad &#10;%  (c,d)&#10;B&({{ 5}}\quad ,&{{ -2}})&#10;\end{array}\qquad &#10;%  distance value&#10;\begin{array}{llll}&#10;&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\\\&#10;d=\boxed{?}&#10;&#10;\end{array}

now.. whatever that is, is  = BC, so  the distance for BC is

\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;B&({{ 5}}\quad ,&{{ -2}})\quad &#10;%  (c,d)&#10;C&({{ -13}}\quad ,&{{ y}})&#10;\end{array}\qquad &#10;%  distance value&#10;\begin{array}{llll}&#10;&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\\\&#10;d=BC\\\\&#10;BC=\boxed{?}&#10;&#10;\end{array}

so... whatever distance you get for AB, set it equals to BC, BC will be in "y-terms" since the C point has a variable in its ordered points

so.. .solve AB = BC for "y"
------------------------------------------------------------------------------------

now d)   we know M and N are equidistant to P, that simply means that P is the midpoint of the segment MN

so use the midpoint formula

\bf \textit{middle point of 2 points }\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;M&({{-2}}\quad ,&{{ 1}})\quad &#10;%  (c,d)&#10;N&({{ x}}\quad ,&{{ 1}})&#10;\end{array}\qquad&#10;%   coordinates of midpoint &#10;\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)=P&#10;\\\\\\&#10;

\bf \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)=(1,4)\implies &#10;\begin{cases}&#10;\cfrac{{{ x_2}} + {{ x_1}}}{2}=1\leftarrow \textit{solve for "x"}\\\\&#10;\cfrac{{{ y_2}} + {{ y_1}}}{2}=4&#10;\end{cases}

now, for d), you can also just use the distance formula, find the distance for MP, then since MP = PN, find the distance for PN in x-terms and then set it to equal to MP and solve for "x"


7 0
3 years ago
One spinner has three equally sized sectors numbered 1, 2, and 3. A second spinner has two equally sized sectors labeled Top (T)
SSSSS [86.1K]
I would say, well, if there are 3 sides that are equal on spinner 1. They are equal. But, we are focusing on spinner two that has two sides. If there is only 2 equal sides then, they would have to be straight across from each other. So that is 180. 360 is full circle. take away 180 to get answer. 
360-180=180
I hope this helped. And sorry if it is not the correct answer. But that is how I would of answered it
4 0
3 years ago
Read 2 more answers
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