Answer:
B = (-7,10)
Step-by-step explanation:
Given that , a line AB has midpoint (-2,4) and the coordinates of A is ( 3 , -2). We need to find out the coordinates of B .
- Let coordinate of B be ( p,q ). We can use midpoint formula , as ,
=> Midpoint = ( x₁ + x₂ / 2 , y₁ + y₂/2 )
=> ( -2,4 ) = ( p + 3)/2 , ( q -2 )/2
=> -2 = p + 3/2
=> p + 3 = -4
=> p = -3 - 4
=> p = (-7)
<u>Also </u><u>:</u><u>-</u><u> </u>
=> q - 2/2 = 4
=> q -2 = 8
=> q = 8 + 2
=> q = 10
<h3>
<u>Hence</u><u> the</u><u> </u><u>coordinates</u><u> </u><u>of </u><u>B </u><u>is</u><u> </u><u>(</u><u> </u><u>-</u><u>7</u><u>,</u><u>1</u><u>0</u><u> </u><u>)</u><u> </u><u>.</u></h3>
To solve this problem, I am going to use the substitution method. To do this, we use our first equation given (s=4r-1) and substitute this given value for s (4r-1) and substitute it into the second equation so that we have an equation with only one variable. This is modeled below:
s = 4r - 1
6r - 5s = -23
6r - 5(4r-1) = -23
Now, we can solve this equation as we would any other equation, using the order of operations outlined by PEMDAS. To begin, we will distribute the factor of -5 through the parentheses on the left side of the equation.
6r - 20r + 5 = -23
Next, we should combine like terms on the left side of the equation:
-14r + 5 = -23
Next, we should subtract 5 from both sides of the equation to get the variable term alone on the the left side of the equation. We get:
-14r = -28
Finally, we should divide both sides by -14 to get the variable r alone on the left side of the equation.
r = 2
Now that we know that value for the variable r, we can substitute this value into one of our original equations (either one will work, but I am choosing to use the first one):
s = 4r - 1
s = 4(2) - 1
Now, we can find the value for s by using multiplication and then subtraction to simplify the right side of the equation.
s = 8-1
s = 7
Therefore, your answer is s = 7 and r = 2.
Hope this helps!
Dude it’s easy just learn math
Answer:
30 degree
Step-by-step explanation:
Mark ‼️ as brainlist ‼️❣️
hope you get ur answer
