Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hi there!
Let the smaller number be x and the larger number be 2x+1.
According to the question,
The sum of the numbers is 20 less than three
times the larger.
i.e x + (2x+1)= 3*(2x+1) - 20
or, x + 2x +1 = 6x + 3 -20
or, 3x + 1 = 6x - 17
or, 3x = 18
or x= 18/3
x = 6
And 2x+1 = 2*6+1 = 13.
Therefore the smaller number is 6 and larger number is 13.
Hope it helps!
Answer:
105.46 feet
Step-by-step explanation:
We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.
Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.
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.
Answer:
C
Step-by-step explanation:
Both of the y= make upward parabolas
It is also going into the positive direction so it is 
