Answer 1
steps. first of record and gather like terms (-2xy^2+6xy^2)-4xy
next collect coefficient like terms (-2+6)x Xy^2-4xy
then calculate the sum or difference 4xy^2-4xy
Answer:
a. gradient 4
b. gradient 3
c. gradient 1
d. gradient 1
e. gradient -2
f. gradient 3
Step-by-step explanation:
to find y intercept substitute x to be 0
i.e y=3x
y=0
Answer:
1) y = 2/3x - 2
2) y = -1/2x + 3
Step-by-step explanation:
1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = 2/3x + c
0 = 2/3(3) + c
0 = 2 + c
0 - 2 = c
- 2 = c
Therefore, the slope-intercept form for the first part is y = 2/3x - 2.
2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.
y = -1/2x + c
1 = -1/2(4) + c
1 = -2 + c
1 + 2 = c
3 = c
Therefore, the slope-intercept form for the second part is y = -1/2x + 3.
Answer:
150 ft
Step-by-step explanation:
The diagram shown gives us a picture of two similar right triangle.
The height of the man is similar to the height of the platform.
To find the height of the platform, multiply the height of the man by the scale factor.
Scale factor = the ratio of any corresponding sides of two similar triangles.
Scale factor = 100 ft ÷ 4 ft = 25
Height of man = 6ft
Therefore, height of platform = 6 ft × 25 = 150 ft
