Answer:
{2, 8}
Step-by-step explanation:
We want to find x for ...
15 = 4|x -5| +3
12 = 4|x -5| . . . . subtract 3
3 = |x -5| . . . . . . divide by 4
±3 = x -5 . . . . . . show the meaning of absolute value
5 ±3 = x = {2, 8} . . . . . add 5
The values of x for which f(x) = 15 are 2 and 8.
Answer:
4/9
Step-by-step explanation:
The possibilities of transportation: (The first will be for morning, second will be for afternoon)
B, B
B, C
B, T
C, B
C, C
C, T
T, B
T, C
T, T
It is clearly seen that there are 9 transportation options.
(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)
Therefore, the probability that she will use a cab only once is 4/9.
PERPENDICULAR LINES have the same y-intercept
Step-by-step explanation:
<h3>Given:</h3>
<h3>To prove:
</h3>
<h3>Solution:</h3>
<u>CM⊥AB - given, therefore</u>
- ∠AMC = 90° and ∠BMC = 90°
<u>Then</u>
- Side CM is common, therefore is congruent to itself
<u>So we have congruent two angles and a side between them on triangles AMC and BMC:</u>
- △AMC ≅ △BMC as per ASA congruency theorem
