Answer:
Option D (7).
Step-by-step explanation:
The formula for gradient of the straight line is given by:
m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:
-5/3 = (2 - r)/(r - 4).
Cross Multiplying:
-5*(r - 4) = 3*(2 - r).
-5r + 20 = 6 - 3r.
-2r = -14.
r = 7.
Therefore, Option D is the correct answer!!!
Square root of 30 is 5.477. So I would plot my point right in the middle of 5 and 6 on the number line
Answer:
(-1,-5)
Step-by-step explanation:
Starting at (0,0), we perform the first translation:
T<5,-7> implies that we move the point 5 units to the right (in the x (horizontal) direction), and 7 units DOWN in the y <vertical) direction.
From there we do the second translation: T<-6,2>
which means: 6 units to the left (in the horizontal direction) which takes us to "-1" for the x value, and 2 units up (vertical) which takes us to -5 for the y value.
Therefore the new location is (-1,-5)
Answer:
True
Step-by-step explanation:
If a quadrilateral (with one set of parallel sides) is an isosceles trapezoid, its legs are congruent.
Step-by-step explanation:
