Answer:
|-2| + |5|
Step-by-step explanation:
Dennis walks from (–5, –2) to (–5, 5) on the map.
Point on the format (x,y). On the x-coordinate, he stayed at the same position, x = -5, so it does not enter the distance calculation.
On the y-coordinate, he went from -2 to 5, so the distance is of:

So the correct option is |-2| + |5|
Answer:
6 7/8 minutes
Step-by-step explanation:
Say the entertainment segments are each x minutes long. Then, we have the equation:
x + x + 1 1/4 = 15
2x + 1 1/4 = 15
2x = 15 - 1 1/4
We need a common denominator. 1 1/4 = 5/4 and 15 = 60/4, so we now have:
60/4 - 5/4 = 55/4. Then: 2x = 55/4
Divide by 2 from both sides:
(55/4) / 2 = 55/8 = 6 7/8
Thus, each entertainment segment is 6 7/8 minutes long.
Hope this helps!
Answer:
≈ 1800 mm³
Step-by-step explanation:
Volume of the figure above will be given by the formula
Cross section area × length
In this case;
Cross section area will be;
Area of the square + area of the two semi circles
12× 12 + 2(3.14 × 6 ×6/2)
= 144 + 3.14 ×36
= 257.04 mm²
Volume = Cross section area × Length
= 257.04 × 7
= 1799.28 mm³
<u> ≈ 1800 mm³</u>
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first x and y-coordinates from the second x and y-coordinates. We'll use the points (0, 3) and (3, 2) for this case. Plug in the values into the formula to get this:
2 - 3 / 3 - 0
Subtract the values in order to get -1/3. There. The slope of the line is -1/3.
Answer:
85 degrees
Step-by-step explanation: