GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael
1 answer:
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To write an equation for this line, you first need to understand how to derive it.
Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:
y = mx + b
m: The slope of the line
b: The y-intercept (The point where the line is at the y-axis)
Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.
The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially
Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.
Therefore:
m =
m =
m = 22
We now have the first variable of the equation.
y = 22x + b
What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.
As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:
y = 22x + 0
y = 22x
If you'd like me to explain how I did anything, just ask!
- breezyツ
<u>Answer:</u>
4.5 foot is needed for a unit dozen bird house
<u>Explanation:</u>
Given Tina saw ¾ foot of wooden trim is being used for first 1/6 dozen bird houses
Therefore, we can write as,4
1/6 dozen = ¾ foot
For 1 dozen bird houses, we have to use the unitary method
1/6 dozen = ¾ foot
Therefore, 1 dozen or unit dozen =
1 dozen = ¾ * 6 = foot = 4.5 foot
Therefore, 4.5 foot is needed for a unit dozen bird house
Answer:
480 cubic cm.
Step-by-step explanation:
We have been given that a wedge of cheese in he shape of a triangular prism has lengths of 10 cm, 13 cm, and 13 cm for its triangular sides. The perpendicular distance from the 10 cm side to the point of the wedge is 12 cm. The height of the wedge is 8 cm.
We can see from our attachment that base of our triangular face is 10 cm and height of the triangular face is 12 cm and height of wedge is 8 cm.
Substituting these values in volume formula we will get,
Therefore, the volume of cheese wedge will be 480 cubic cm.
