Answer:
The number would have to be added is 2
Step-by-step explanation:
To find the form of the completing square of the quadratic function:
- Divide the coefficient of x by 2
- Subtract the numerical term from the square of the quotient
Let us do these steps with our question
∵ x² - 2x - 1 = 0
→ Divide the coefficient of x by 2
∵ The coefficient of x is -2
∴ -2 ÷ 2 = -1
→ Square the -1
∵ (-1)² = 1
→ Subtract the numerical term from 1
∵ The numerical term = -1
∵ 1 - (-1) = 1 + 1 = 2
∴ We must add 2 to -1 to get 1
→ (x² - 2x - 1 + 2) - 2 = 0
→ (x² - 2x + 1) = 2
→ (x - 1)² = 2
The number would have to be added is 2
Answer: 11 is rational
Step-by-step explanation: All rational numbers are whole numbers.
11 is a whole number.
Irrational numbers cannot be expressed as fractions.
<u><em>Answer:</em></u>
The length of the diagonal is 284 km
<u><em>Explanation:</em></u>
<u>1- we get the side length of the side:</u>
We are given that the land has a square shape and an area of 40,404 km²
Area of square = (side)²
40,404 = (side)²
side = +√40,404
side = 201.007 km ≈ 201 km
<u>2- we get the length of the diagonal:</u>
Refer to the attach picture representing the area of land.
We can infer that the two side lengths along with the diagonal of the land form a right-angled triangle.
Therefore, to get the diagonal, we can apply the Pythagorean theorem as follows:
Diagonal = 284.2 ≈ 284 km
Hope this helps :)
Answer:
Read and understand the question. Still having doubts? Ask about it in the comment section so you can give them a correct answer!
Step-by-step explanation:
0.5a - 0.3 = 5
Add 0.3 to both sides:
0.5a = 5.3
Divide both sides by 0.5:
a = 10.6
