Step-by-step explanation:
A transformation(s) of a parent function is

where a is vertical compression/stretched or reflection
B is horinzotnal compression/stretch or reflection
C is horinzontal translation
D is vertical translation.
The parent function is

First, we stretched this by 7
so we have

We need to shift this 12 units to the left so we have

We need to reflect this across x axis so we get

We need to shift this downwards 15 so we get

or because tan is a odd function you could say


Answer:
23.6 ft
Step-by-step explanation:
Sketch a right triangle representing this situation. The length of the hypotenuse is 26 ft and the angle of elevation from ground to top of ladder is 65°. The "opposite side" is the reach of the ladder, which we'll call x.
Then:
opp
- sin 65° = ----------
- 26 ft
or (26 ft)(sin 65°) = opp side = height off the ground of top of ladder.
Evaluating this, we get:
(26 ft)(0.906) = 23.56 ft, or, rounded off, 23.6 ft
The ladder reaches 23.6 ft up the side of the building.
Answer:
Point D
Step-by-step explanation:
To draw a perpendicular bisector between BE, you have take more than half of the length BE on the compass. So, it should be D
Answer:
2520°
Step-by-step explanation:
The sum of the angles in any triangle is 180°
shape. sides. triangles. sum int angles.
triangle. 180×1=180°
quad. 180×2=360°
pentagon. 180×3=540°
n-sides. n( n−2) 180(n−2)
16-sides. 180×14=2520°