Answer:
C
Step-by-step explanation:
x² + 6x = 18
To complete the square, take the coefficient of the x term, halve it, square the result, then add to both sides.
(6/2)² = 3² = 9
x² + 6x + 9 = 18 + 9
(x + 3)² = 27
x + 3 = ±√27
x = -3 ± √27
Answer:
A and E
Step-by-step explanation:
Answer:
The correct answer is:
To subtract an integer, add its opposite; -4 + 5 = 1
Step-by-step explanation:
Marty is explaining to Susan how to solve the following problem, -4 – (-5)
He told Susan that to subtract an integer, add its opposite.
We know that whenever we solve the two terms, first we multiply the signs.
It means that the negative sign outside the round bracket will be multiplied with the negative sign of -5
That is,
-4 - (-5)
By multiplying the signs we get the terms:
-4 + 5
=1
Thus the correct option is D....
Answer:
4(3n+2) or 12n+8
Step-by-step explanation:
Given expression is:

The numerator of the fraction will be multiplied with 9n^2- 4
So, Multiplication will give us:

We can simplify the expression before multiplication.
The numerator will be broken down using the formula:
![a^2 - b^2 = (a+b)(a-b)\\So,\\= \frac{8[(3n)^2 - (2)^2]}{6n-4}\\ = \frac{8(3n-2)(3n+2)}{6n-4}](https://tex.z-dn.net/?f=a%5E2%20-%20b%5E2%20%3D%20%28a%2Bb%29%28a-b%29%5C%5CSo%2C%5C%5C%3D%20%5Cfrac%7B8%5B%283n%29%5E2%20-%20%282%29%5E2%5D%7D%7B6n-4%7D%5C%5C%20%3D%20%5Cfrac%7B8%283n-2%29%283n%2B2%29%7D%7B6n-4%7D)
We can take 2 as common factor from denominator

Hence the product is 4(3n+2) or 12n+8 ..
Answer:
<h2>
503 cm²</h2>
Step-by-step explanation:
The surface area of the figure is sum of areas of two triangles and three ractangles:
