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.
Since x is the x-intercepts, that means x'=x" =6 or in other word the discriminante ( Δ = b² 4ac) =0. Answer is A
Answer:
Question 1:
a. The answer is B because the graph inclined really quickly and then it inclined at a much slower pace, suggesting that the person was running and then walking.
b. The answer is C because you can see on the graph that after a while, the distance from the starting point goes back to 0, indicating that the person forgot something at home.
Question 2:
a. The dashed line reaches the bottom at 15:30 so the answer is C.
b. Siobhan travels 8 km to go from home to school so the answer is 2 * 8 = 16 which is option D.
Question 3:
The answer is C because after the distance from the starting point increased, it then decreased and came back to the original point suggesting that he walked, turned around and walked back to the starting point.
Answer:
Step-by-step explanation:
(x+y+2)(y+1)
Opening the brackets
xy + x + y^2 + y +2y +2
y^2 +xy + 3y + x +2
Answer: See attached
Step-by-step explanation:
[1] Looking at the function, this will be a parabola.
[2] We know that the x-intercepts, where the line hits the x-axis, will be -1 and 2 because of the factored part given
-> (x + 1)(x - 2)
-> (x + 1) gives us -1 and (x - 2) gives us 2
[3] We will graph the given function.
-> See attached
-> <em>I kept the scale the same as the screenshot you gave (which is 5 to -5 for both the y-axis and the x-axis)</em>
