Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
Answer:
<h3>The possibilities of length and width of the rectangle are </h3><h3>x=1, y=0.24;</h3><h3>x=0.5, y=0.48;</h3><h3>x=0.25, y=0.96;</h3><h3>x=2, y=0.12</h3>
Step-by-step explanation:
Given that the area is 0.24 square meter
The area of a rectangle is given by
square units
Let x be the length and y be the width.
Since the area is 0.24 square meter, we have the equation:
, with x and y measures in meters
If we want to know some possibilities of x and y, we can assume a value for one of them, and then calculate the other one using the equation.
Now choosing some values for "x", we have:
Put x = 1
∴ y = 0.24
Now put x = 0.5 we get
∴ y = 0.48
Put x = 0.25
∴ y = 0.96
Put x = 2
∴ y = 0.12
Final Answer: 
inches
Steps/Reasons/Explanation:
Question: What is the given amount converted to the given units 144 ft; inches?
Formula to convert feet to inches: Multiply the length value by 12.
<u>Steps</u>: Multiply 144 by 12
× 
= inches
~I hope I helped you :)~
The prime factors that the numbers 24 and 36 have in common are found out to be; 2 × 2 × 3
<h3>How to get prime factors? </h3>
A prime factor of a number is simply factor of that number that is a prime number. This means that any of the prime numbers that can be multiplied to give the original number.
Now, we have;
Prime factors of 36; 2 × 2 × 3 × 3
Prime factors of 24; 2 × 2 × 2 × 3
The prime factors that they have in common will be; 2 × 2 × 3
Read more about Prime factors at; brainly.com/question/1081523
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Answer:
Step-by-step explanation:
6.0 , 6.0 , 6.1 , 6.2 , 6.3 , 6.15 , 6.23
hope that help mark me as a brill
