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Elena-2011 [213]
3 years ago
13

Find the volume of a rectangular prism that has a length of 14 yards, a width of 5 yards and a height of 8 yards.

Mathematics
1 answer:
Sedaia [141]3 years ago
7 0
Multiply all three numbers to get 560 yards cubed :))
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Please solve and explain. Photo attached
ss7ja [257]

$\frac{(x+1)(x-3)}{x^{2}}

Solution:

Given expression:

$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}

To solve this expression:

$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}

Apply the fraction rule: $\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}

      $=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}

Let us solve \frac{36}{x^{2}}+\frac{36}{x}.

Least common multiple of x^{2}, x is x^{2}.

Make the denominator same based on the LCM.

So that multiply and divide the 2nd term by x, we get

$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}

              $=\frac{36+36 x}{x^{2}}

Now, multiply by (x - 3).

$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}

$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}

Apply the fraction rule: \frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}

                            $=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}

                            $=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}

Cancel the common factor 36.

                            $=\frac{(x+1)(x-3)}{x^{2}}

Hence the solution is \frac{(x+1)(x-3)}{x^{2}}.

7 0
3 years ago
Find the center and the radius of the circle with the equation:
nekit [7.7K]

Answer:

(x+1)^2 + (y-1)^2 = 16

And the general formula for a circle is given by this expression:

(x-h)^2 +(y-k)^2 = r^2

With the center (h,k) and the radius r. If we compare this general expression with the formula that we obtain in (1) we see that :

h = -1, k =1 , r =4

So then the best solution for this cae would be:

b. center: (-1,1)

radius =4

Step-by-step explanation:

For this case we have the following equation given:

x^2 +2x + y^2 -2y -14=0

And we can complete the squares for this case like this:

x^2 +2x +(2/2)^2 +y^2 -2y +(2/2)^2 =14 +1+1

(x^2 +2x +1) +(y^2 -2y +1) =16

Now we can rewrite the last expression like this:

(x+1)^2 + (y-1)^2 = 16

And the general formula for a circle is given by this expression:

(x-h)^2 +(y-k)^2 = r^2

With the center (h,k) and the radius r. If we compare this general expression with the formula that we obtain in (1) we see that :

h = -1, k =1 , r =4

So then the best solution for this cae would be:

b. center: (-1,1)

radius =4

5 0
3 years ago
Find the slope of the line that goes through (0, 2) and (4, −2).
zmey [24]
M = (y2 - y1) / (x2 - x1) 

m = (-2 - 2) / (4 - 0) 

m = -4 / 4

m = -1 

The slope of the line that goes through (0, 2) and (4, -2) is -1. 
5 0
3 years ago
Read 2 more answers
A number is multiplied by 3. if 2 is added to the product you get 17. what is the number
Sveta_85 [38]
The answer is 5
5 \times 3 = 15 \\ 15 + 2 = 17
4 0
3 years ago
an item is regularly priced at $70. It is on sale for 30% off the regular price. how much in dollars is discounted from the regu
sleet_krkn [62]
$9 is discounted from the regular price. If you find the discounted price you get $21. Then subtract the 21 from 30 and you get 9
7 0
3 years ago
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