Answer:
Step-by-step explanation:
The basic idea is to factor each expression and cancel common factors from numerator and denominator.
Let breadth be x
We know
It doesnot have any real roots
Answer:
4
Step-by-step explanation:
sqrt(16)
4*4 =16
-4*-4 =16
The principal (or positive) root is 4
To complete the square, you want to add a number that will allow the number to be factored into terms of the form (x + ?)^2
For x^2 + x + ?:
For (x + ?)(x + ?), we want both ? to add up the 1 (the number in front of x), and since both ? have to be the same number, ? must equal 1/2 (1/2 + 1/2 = 1).
Multiplying this out:
(x + 1/2)^2
(x + 1/2)<span>(x + 1/2)
</span>x^2 + x + 1/4
Answer: x^2 + x + 1/4
For x^2 + 6x + ?:
For (x + ?)(x + ?)<span>, we want both ? to add up the 6 (the number in front of x), and since both ? have to be the same number, ? must equal 3 (3 + 3 = 6). </span>
Multiplying this out:
(x + 3)^2
(x + 3)<span>(x + 3)
</span>x^2 + 6x + 9
Answer: <span>x^2 + 6x + 9</span>
Answer:
1. 45
2. 45/1
3. 45t=d
Step-by-step explanation:
1. You have to divide 90 by 2 to find the distance the vehicle is going per hour. And 90 divided by 2 is 45, so the vehicle is going 45 miles per hour. So the constant of proportionality is 45.
2. The unit rate is just a fraction with the constant of proportionality as the numerator, and the denominator is "1". So the unit rate for this problem is 45/1.
3. Since the vehicle is going 45 mph, you have to multiply the time by 45. Let us say the vehicle travels for 10 hours. When you multiply 45 by 10, the product would be 450. So if the vehicle travels for 10 hours, the car would have traveled 450 miles. The equation would be 45t=d.
