Response:
Step-by-step explanation:
1. The line includes the points (34,12) and (32,48). Then, apply the slope formula, which is:
2. By substituting values into the formula, you will get:
The options you provided are unclear to me, so I will respond in general terms: to determine if a point (ordered pair) lies on a line, you need to substitute the x-value from that pair into the line's equation and check if the resulting y-value matches the y-value of the ordered pair. For example, if your line is y = 4/3x + 1/3, we can check if (0, 0) and (2, 3) fit this line. We find that y = 4/3·0 + 1/3 gives us 1/3, which does not equal 0, indicating (0, 0) is not on the line. For (2, 3), substituting yields y = 4/3·2 + 1/3 = 3, meaning (2, 3) is on the line.
Answer:
Width of the rectangular prism
To determine the volume of the rectangular prism, we utilize the following formula:
v = lwh
Where:
v = volume
l = length
w = width
h = height
Now,
The variables provided in the problem include:
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
By substituting these values into the volume formula, we have:
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ Therefore, the width of the rectangular prism measures 4.5 inches.
B. f(x) ≤ 0 over the interval [0, 2]. D. f(x) > 0 over the interval (–2, 0). E. f(x) ≥ 0 over the interval [2, ).
The initial time was 15.7 minutes.
Explanation of steps:
Let x represent the initial time (in minutes).
The relay team is working on minimizing their relay race duration.
First, they cut down their time by 2.1 minutes.
Afterwards, they manage to reduce that time by 10 percent.
If the concluding time ends up being 3.96 minutes, then
x-t1-t2= 3.6
x= 3.6+ t1+ t2
x= 3.6+ 2.1+ 10
x= 15.7
Thus, their starting time was 15.7 minutes.
