A water tank is a rectangular prism that is 11 meters long 9 meters wide and 6 meters high a solid metal box in 4 meters long 3
1 answer:
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Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
Transform this matrix in a row-echelon form:
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
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The graph is attached.
To graph a parabola we need to know the following:
- If the parabola is open upwards or downwards
- They axis intercepts (if they exist)
- The vertex position (point)
We are given the function:
Where,
For this case, the coefficient of the quadratic term (a) is negative, it means that the parabola opens downwards.
Finding the axis interception points:
Making the function equal to 0, we can find the x-axis (t) intercepts, but since the equation is a function of the time, we will only consider the positive values, so:
Using the quadratic equation:
So, at t=4.0615 the height of the softball will be 0.
Since we will work only with positive values of "x", since we are working with a function of time:
Let's start from "t" equals to 0 to "t" equals to 4.0615.
So, evaluating we have:
Finally, we can conclude that:
- The softball reach its maximum height at t equals to 2. (68 feet)
- The softball hits the ground at t equals to 4.0615 (0 feet)
- At t equals to 0, the height of the softball is equal to 4 feet.
See the attached image for the graphic.
Have a nice day!
Answer:
Ella grew of an inch more
Step-by-step explanation:
For this problem, you want to subtract Ben's growth from Ella's.
This expression would be -
.
To work these out, they must have the same denominator (which should be the lowest common multiple or LCM).
In this case, the LCM is 12, so you want to multiply each side so the denominator is 12. This means the first fraction should be multiplied by and the second by
.
This makes the expression -
, which equals
.
**This content involves adding and subtracting fractions, which you may want to revise. I'm always happy to help!