Answer:
7
Step-by-step explanation:
The centroid divides the median in a 2:1 ratio. Therefore,
AD = 2DM
x + 3 = 2(2x - 1) Remove parentheses
x + 3 = 4x – 2 Add 2 to each side
x + 5 = 4x Subtract x from each side
3x = 5 Divide each side by 3
x = ⁵/₃
AM = AD + DM
= (x + 3) + (2x – 1)
= 3x + 2 Substitute the value of x
= 3 × ⁵/₃ + 2
= 5 + 2
= 7
Length of median AM = 7.
The Angles (3x - 3)° and 60° forms alternate interior Angle pair. hence,
2 numbers can be represented by the variables x and y.
Set up a system of equations:
The two numbers added together will result in a sum of 37. However, one number subtracted from another will result in a difference of 31.
In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:
Divide both sides by 2 to get x by itself:
One of the numbers will be 34.
Plug the value into one of the equations:
Subtract 34 from both sides to get y by itself:
The two numbers that sum up to 37, with a difference of 31 between them, will be 3 and 34.
Answer:
f(h(x)) = 2x - 4
General Formulas and Concepts:
<u>Algebra I</u>
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = x - 7
h(x) = 2x + 3
f(h(x)) is x = h(x)
<u>Step 2: Find f(h(x))</u>
- Substitute: f(h(x)) = (2x + 3) - 7
- Combine like terms: f(h(x)) = 2x - 4