Answer:
The number -100 is a rational number and an integer
X² = 1/4 ⇒√⇒ x₁ = 1/2, x₂ = -1/2
Answer:
(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy
I hope this helps ! <3
Step-by-step explanation:
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:
The average of -2.5, 5.2, 1.7, and -0.8 is <u>0.9</u>
Step-by-step explanation:
You are taking the mean of all the values
So you would add -2.5, 5.2, 1.7, and -0.8 all together
This gives you 3.6
Then you would divide by the number of numbers per se,
Which would give you the answer: 0.9