Answer:
A. -4
B. 4
C. no values
Step-by-step explanation:
When x increases by 2, m(x) increases by 1. So m(x) is linear. Pick two points to find the slope:
(3 − 2) / (10 − 8) = ½
Use point-slope form to write the equation:
m(x) − 2 = ½ (x − 8)
m(x) − 2 = ½ x − 4
m(x) = ½ x − 2
Part A
h(4) − m(16) = ½ (4 − 2)² − (½ (16) − 2)
h(4) − m(16) = 2 − 6
h(4) − m(16) = -4
Part B
h(0) − m(0) = ½ (0 − 2)² − (½ (0) − 2)
h(0) − m(0) = 2 − (-2)
h(0) − m(0) = 4
Part C
m(x) − h(x)
(½ x − 2) − ½ (x − 2)²
½ x − 2 − ½ (x² − 4x + 4)
½ x − 2 − ½ x² + 2x − 2
-½ x² + 2½ x − 4
Complete the square.
-½ (x² − 5x) − 4
-½ (x² − 5x + 25/4) − 4 + ½ (25/4)
-½ (x − 5/2)² − 7/8
This is always negative, so m(x) is always less than h(x).
In order to find the answer to the question, how far did she run in one minute you must do this.
We know that she ran 2 miles in 10 minutes so if you divide 10 minutes by 2 you get 5 minutes and that means that every 1 mile she runs 5 minutes.
10÷2=5
So, she ran 1 mile in 5 minutes. Hope this helped and would love brainiest!
Answer:
The y-intercept is 4
Step-by-step explanation:
Hi there!
The congruency theorem that proves these two triangles congruent is AAS. This is because both triangles have two congruent angles and the side comes from the side that can be proved congruent in both triangles by the reflexive property.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
The ranges would be 6, 8, 10, and 24, hope this helps!