Answer:
k(x) = -|x + 2| + 3
Step-by-step explanation:
Parent function of the absolute function given in the graph,
f(x) = |x|
1). Function 'g' is reflected across the x-axis, then the image will be,
h(x) = -f(x) = -|x|
2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,
k(x) = h(x + 2) + 3
k(x) = -|x + 2| + 3
Therefore, the transformed function is k(x) = -|x + 2| + 3.
Answer: 5:6
Explanation:
The 2 polygons are similar
So 25/30 = 25.5/30.6 = 5/6 or 5:6
A tangent line is always perpendicular to the radius that shares the point of tangency. In other words, where your tangent line touches the circle (at only one point), that line is perpendicular to the radius at that point.
Answer:
v ≥ -17
Step-by-step explanation:
-82 ≤ 5v + 3
-82 - 3 ≤ 5v
5v ≥ -85
v ≥ -17
Answer:
Step-by-step explanation:
If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.
If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118
