Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
27 caloires yeahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
9514 1404 393
Answer:
(d) 36 feet
Step-by-step explanation:
Use your sense of geometry.
The hypotenuse of a right triangle will never be less than the longest side, and will never be greater than 1.5 times the longest side*.
That means the only reasonable answer choices will be between 30 and 45 feet. There is only one such choice.
The measure is about 36 feet.
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If you like, you can find a more exact value using the Pythagorean theorem. The distance d of interest is ...
d^2 = 20^2 +30^2 = 1300
d = √1300 = 10√13 ≈ 36.0555 ≈ 36 . . . feet
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* The longest hypotenuse will be √2 ≈ 1.4142 times the longest right triangle leg when the two legs are equal length.
Answer:
7+40n
Step-by-step explanation:
distribute 5 and get 5=40n then add the extra 2 for the awnser of 7=40n
Answer: Required expression : 
Smallest number = 27
Step-by-step explanation:
Let the three consecutive number be n-1 , n , n+1 .
Since , the sum of three consecutive numbers is 84.
Remove parenthesis
Simplify
Divide both sides by 3, we get
That means the three consecutive numbers would be (28-1) , 28 , (28+1)
i.e. 27 , 28 , 29.
Hence, the smallest number is 27.
