Answer:
Graph B
Step-by-step explanation:
Replace y with x and vice versa.
y=1/2x+2 becomes x=1/2y+2
Then solve for y. Subtract 2 from both sides, then multiply by 2 which results in:
y=2x-4
Graph B is the one that has a y-intercept at -4 and a rise/run of 2.
Answer:
Step-by-step explanation:
Let the number at B be x.
We know that distance between two points on the number line is the absolute value of the difference of numbers at those points.
Then distances representing the lengths of segments AB and BC are:
We are given the ratio of segments:
Substitute and solve for x:
- (x - 9)/(13 - x) = 2/3
- 3(x - 9) = 2(13 - x)
- 3x - 27 = 26 - 2x
- 3x + 2x = 26 + 27
- 5x = 53
- x = 53/5
- x = 10.6
Use a^2 + b^2 = c^2
the triangle must be isosceles because the two angles are the same
1.2^2 + 1.2^2 = x^2
1.44 + 1.44 = x^2
2.88 = x^2
x=6√2/5
or
x ≈1.69706
Answer:
-3.125
Step-by-step explanation:
Make a drawing with a right triangle.
The opposite side, y, is the height of the dam less 1.65 m
The base or adjacent side is 90 m
The angle between the two sides is 90 m.
Then tan (26) = y / 90
y = 90 tan(26) = 90 (0.4877) = 43.90 m
The height of the dam is 43.90m + 1.65m = 45.55 m
