Answer:
3
Step-by-step explanation:
[4 - (5 - 7(1) + 7) + 4]
4 - 5 - 7 + 7 + 4 = (-1) + 0 + 4 = 3
Answer:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
Therefore, we conclude that function f(x) has a greater y-intercept.
Step-by-step explanation:
The y-intercept of any function can be determined by checking the value of y at x = 0.
<u>Important Tip</u>
- A point where the graph meets the y-axis — y-intercept.
Determining the y-intercept of the function f(x)
Given the function f(x) passes through the point (0,2).
It means at x = 0, the value of y = 2
Thus, the y-intercept of function f(x) is 2.
Determining the y-intercept of the function g(x)
Given the function g(x)
substitute x = 0 in the function equation
It means at x = 0, the value of y = -3
Thus, the y-intercept of function g(x) is -3.
Conclusion:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
As 2 > -3
Therefore, we conclude that function f(x) has a greater y-intercept.
Answer:
See below
Step-by-step explanation:
100 ft in 4 min = 25 ft/min
125 feet in 5 min = 25 ft min
so the height is d = 25 * m d = height m = minutes
25* 8 = 200 feet
Answer:
<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD
We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3
THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)
Therefore, CE / BC is equal to DC / AC
Your full answer is
<ACB = <ECD, CE / BC = DC / AC
So triangle ABC ~ triangle CDE
Step-by-step explanation:
Exact Form: 3/68
Decimal Form: 0.0441176470588235