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3 years ago

What is the volume of the rectangular prism?

Mathematics

1 answer:

omeli [17]3 years ago

4 0

Answer:

$10 feet^3$

Step-by-step explanation:

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How to turn this equation: <br> y= -1.02(x-3)^2+9.25<br> into factored form

MatroZZZ [7]

Answer:

$y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})$

Step-by-step explanation:

You first equate it to zero to get:

$-1.02(x-3)^2+9.25=0$

Then solve using square root method

$-1.02(x-3)^2=-9.25$

$(x-3)^2=\frac{-9.25}{-1.02}$

$(x-3)^2=\frac{925}{102}$

$x=3\pm\sqrt{\frac{925}{102}}$

$x=3\pm{\frac{5\sqrt{3774}}{102}}$

$x={\frac{306\pm5\sqrt{3774}}{102}}$

Now work it backwards

$102x-(306\pm5\sqrt{3774})=0$

$(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})=0$

Hence the factored form is:

$y=(102x-306-5\sqrt{3774})(102x-306+5\sqrt{3774})$

8 0

3 years ago

Y=1/3x + 2 what is the domain?

Trava [24]

Answer:

To find the domains you must graph this equation and find the x-coordinates of the points plotted. That's the domain.

Remember, if two points have the same x-coordinate then do not repeat the number when stating the domain. Domain also always must be written in the least to greatest order. Domains must be written with {} enclosing them.

So if the x-coordinates were 4,5,6,4,7,5

You would write the domain as {4,5,6,7}

5 0

2 years ago

Read 2 more answers

We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver

Andre45 [30]

<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

$112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\$

Notes:

1 inch = 2.54 cm exactly
The conversion factor $\frac{2.54 \text{ cm}}{1 \text{ in}}$ is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
Think of "square inches", aka $\text{in}^2$ , as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.