Distance = √(x₂-x₁)² + (y₂-y₁)²
d = √(-11-(-11)) + (5-(-20))²
d = √0² + 25²
d = √625
d = 25
In short, Your Answer would be 25 units
Hope this helps!
Answer:
y = 2x -33
Step-by-step explanation:
The line segment from the center (6, 4) to the given point (16, -1) is a radius of the circle. It is perpendicular to the tangent. Hence you need to write the equation of a line through point (16, -1) that is perpendicular to the line through that point and (6, 4).
The slope of the radius is ...
... ∆y/∆x = (-1-4)/(16-6) = -5/10 = -1/2
The slope of the tangent is the negative reciprocal of that, so is ...
... m = -1/(-1/2) = 2
In point-slope form, the tangent line through (16, -1) is
... y = m(x -h) +k
... y = 2(x -16) +(-1)
Simplifying, this is ...
... y = 2x -33
Answer:
take the number (x,y) take Y subtract 2.. take x add 5. if the origin is 0,0 it would end 5,-2. if Q is 7,3
7+5 = 12
-3-2 = -5
answer (12,-5)
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
Given :

=============================================================
Cross multiplying the terms :
⇒ 8 (x + 4) = -16 (x + 1)
⇒ 8x + 32 = -16x - 16
⇒ 24x = -48
⇒ x = -2
The first thing to do in this case is to draw the ordered pairs in the Cartesian plane and join the points.
We have then that the resulting figure is a rectangle.
We must find the perimeter of the rectangle that is given by:
P = 2L + 2W
Where,
L: long
W: width
Restoring the values:
P = 2 * (5) + 2 * (3)
P = 16
Answer: her route cover 16 miles.