Answer:
radius ≈ 15.5
Step-by-step explanation:
the radius is RS
the angle between a tangent and the radius at the point of contact is 90°
then Δ RST is a right triangle
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then
RS² + ST² = RT² ( substitute values )
RS² + 7² = 17²
RS² + 49 = 289 ( subtract 49 from both sides )
RS² = 240 ( take square root of both sides )
RS = ≈ 15.5 ( to 1 dec. place )
Answer:
The rule of translation :
The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Step-by-step explanation:
The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).
It is given that a translation maps R to the point (2,-9).
Difference between x-coordinates:
Difference between y-coordinates:
The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.
The rule of translation is
The vertices of image are
Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Simplify the left hand side by multiplying the terms in the parenthesis by 3/4, i.e. divide them by 4 and multiply them by 3:
Subtract 6x from both sides:
Subtract 2 to both sides:
