The another way to write (s - 6)(s + 1) is s² - 5s - 6
Step-by-step explanation:
Let us revise how multiply two binomial (a + b)(x + y)
- Multiply the 1st terms
- Multiply the 2nd terms
- Multiply the nears and extremes, where nears are the 2nd term of first bracket and 1st term in the second bracket, the extremes are the 1st term in the first bracket and the 2nd term in the second bracket
- Add the like terms if necessary
∵ The area of the square = (s - 6)(s + 1)
- To find the another way multiply the two brackets
∵ s × s = s²
∵ -6 × 1 = -6
∵ -6 × s = - 6s ⇒ nears
∵ s × 1 = s ⇒ extremes
- The terms - 6s and s are like terms, then add them
∵ - 6s + s = - 5s
∴ (s - 6)(s + 1) = s² - 5s - 6
∴ The area of the square = s² - 5s - 6
The another way to write (s - 6)(s + 1) is s² - 5s - 6
Learn more:
You can learn more about the binomials in brainly.com/question/2334388
#LearnwithBrainly
Answer:
The people can sit in 1,152 possible ways if all men must sit together and all women must sit together.
Explanation:
The 4 men must sit together.
Number of ways to arrange the 4 men together
= 4! = 4 x 3 x 2 x 1 = 24
Similarly, the 4 women must sit together.
Number of ways to arrange the 4 women together
= 4! = 4 x 3 x 2 x 1 = 24
Now the 8 chairs are placed in a row. There are 2 ways to arrange the men and women: either the men must sit in the first 4 chairs and women in the last 4 chairs, or the women must sit in the first 4 chairs and men in the last 4 chairs.
Hence, total number of ways to arrange the 8 people
= 24 x 24 x 2
= 1,152
Answer:
Step-by-step explanation:
Let's write a system of equations. I'm going to call them w, x, y, and z.
w = 4x (because m∠1 is 4 times m∠2)
w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)
w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)
y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)
When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!
Answer:
30 units
Step-by-step explanation:
In order to find the length of the 3rd side of the triangle, the hypotenuse, you can use the Pythagorean Theorem. Using this method, you get 5^2+12^2=169. The square root of 169 is 13.
5 + 12 + 13 = 30 units.
Answer:
okayyyyy.... then
Step-by-step explanation:
