Answer:
- 525 = (w+4)(w)
- 21 ft by 25 ft
Step-by-step explanation:
Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...
A = LW
525 = (w+4)(w)
w^2 +4w -525 = 0
(w -21)(w +25) = 0 . . . . factor the above
Solutions are ...
w = 21, w = -25
We are interested in the positive solution: w = 21.
The floor is 21 feet wide and 25 feet long.
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<em>Alternate solution</em>
Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...
525 = (x-2)(x+2) = x^2 -4
529 = x^2
√529 = 23 = x
Then w=23 -2 = 21, and the length is w+4 = 25.
Answer:
y = 0.64/x^3
Step-by-step explanation:
If y is inversely proportional to a^3, we can write the equation:
y * a^3 = k
Using a = 2 and y = 10, we have:
10 * 2^3 = k
k = 80
If a is directly proportional to x, we can write the equation:
a = c * x
Using x = 4 and a = 20, we have:
20 = c * 4
c = 5
Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:
y * (5x)^3 = 80
y * 125x3 = 80
y = 80/(125x3) = 0.64/x^3
(sorry I don't understand your language but, here's my answer)
- a/12 + 2/3(b) = ?
- a = 5, b = -4
- 5/12 + 2/3(-4)
- 5/12 + 2/-12
- 1/4
<h2><u>ANSWER:</u></h2>
Answer:
y=-5x-13
Step-by-step explanation:
use y-y1=m(x-x1)
y+8=-5(x+1)
y+8=-5x-5
subtract 8 from both sides
y=-5x-13
Answer:
B - 1/9
Step-by-step explanation:
I don't really know how to explain how I got it because I'm only in middle school in pre-algebra, but I did teach this to myself online haha, so here we go. Daneille rolled the dice 90 times, it only landed on 6 10 times. That is 10/90 which, simplified, is 1/9.
