Answer:
9ft
Step-by-step explanation:
The top of a ladder is placed against the side of a house. The ladder is 15ft long and the wall is 12ft high. How far from the wall will the base of the ladder be positioned if the top of the ladder meets the top of the wall.
We solve this question using Pythagoras Theorem
c² = a² + b²
Height of the wall = Opposite side = b = 12ft
Length of the ladder = Hypotenuse = c = 15ft
Distance between the wall and the base of the Ladder = Adjacent = a
Hence:
15² = a² + 12²
a² = 15² - 12²
a = √15² - 12²
a = √81
a = 9 ft
Therefore, the wall will be 9ft from the base of the ladder , if the top of the ladder meets the top of the wall
I believe the answer to that is x = - 2 over F - 0.5
___2___
X= - F - 0.5
Like that. I can't draw the answer out, I'm sorry.
Answer:
38°
Step-by-step explanation:
Alternating angles are equal
1. Exponential would be the best option to model the data because of the large increase. It would be more difficult to model it linear because the linear values would jump from 10 to 34 to 91 etc. there is a no correlation between them.
2. We can tell which function is the best based on the y values and x values. Especially with key words like double or triple we know that’s it going to be exponential. Linear would be like if we were presenting a graph for tickets and prices which is a straight line with increasing x and y values and the rate of change is constant.
Exponential usually have a consistent multiplier so it won’t be the same but there will be a pattern.
3. 4 data points would be 1,2,3,4 for x values and for y (2,4,6,8). I set up the data to be constant the x values are adding by 1 and the y values are added by 2. If we were graphing this it would obviously be a straight line.
Answer:
y = 3
Step-by-step explanation:
The equation of a line is;
y = mx + c
Now, when f(0) = 3, it means at x = 0, y = 3.
Thus;
3 = 0 + c
3 = c
Also, f(−6) = 3
Thus;
3 = -6m + 3
6m = 3 - 3
6m = 0
m = 0/6
m = 0
Thus,equation is;
y = c
y = 3