Answer:
<h3>
<u>
x = -7</u></h3>
Step-by-step explanation:
x-coordinate of both points is the same. That means the line is parallel to Y-axis
Equation of every line parallel to Y-axis is: x = x₀
where x₀ is the x-coordinate of any point from the line
x₀ = -7 so the equation is:
<u>x = -7</u>
You've got 19 numbers. Their sum is 10(1+2+3+...+19) or
. Divide that by 19, to get
So if the perimeters are equal then you know
Rectangle Triangle
x + x + x + 4 + x + 4 = x + x + 9 + x + 5
which becomes
4x + 8 = 3x + 14
now you can solve the equation for x, then find the perimeters
Answer:
( x + 5 )² + ( y - 8 )² = 25
Step-by-step explanation:
Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²
Where r = radius and Center is located at ( h , k )
We are given that the center is at ( -5 , 8 )
Thus, h = -5 and k = 8
We are also given that the radius = 5
Thus, r = 5
Now we just plug all of the given values into the standard form equation
( x - (-5))² + ( y - 8 )² = 5²
*simplify*
in - ( - 5 ) the two negative sign cancel out and it turns into + 5
5² = 25
Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25
