Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:


C. None of the above
Answer:

Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;

Then, we calculate the distance;
<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>
Hence,

Substitute
for Difference;

<em>Hence, the correct option is B</em>
Answer:
B and E
Step-by-step explanation:
B = - 6, D = - 2, E = 2
d(B, D) = - 2-(-6)= - 2 + 6 = 4 units
d(D, E) 2 - (-2) = 2 + 2 = 4
Since, d( B, D) = d( D, E)
Therefore, Point D is 1/2 of the distance between B and E.
Answer:
x = e^2/2 + 3
Step-by-step explanation:
Solve for x:
log(2 x - 6) = 2
Hint: | Eliminate the logarithm from the left hand side.
Cancel logarithms by taking exp of both sides:
2 x - 6 = e^2
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
2 x = e^2 + 6
Hint: | Solve for x.
Divide both sides by 2:
Answer: x = e^2/2 + 3
Answer:
22 ft
Step-by-step explanation:
Height of Susan/Length of shadow = Height of sculpture/Length of Shadow of sculpture
5.5 ft/4 ft = x/16ft
Cross Multiply
4 × x = 5.5 × 16
x = 5.5 × 16/4
x = 22 ft
The height of the sculpture is 22 ft