1. You can add 7 units to both sides of the scale so it becomes a balance between x on the left and 21 on the right.
x ___ 21
1A) The only number from the set that will keep the balance is x ∈ {21}
1B) The number on the right (21) will be more than x for x ∈ {0, 1, 7, 14}
1C) The number on the right (21) will be less than x for x ∈ {28, 30}
2A) (x +x +x) +(2 +4) = 102
3x +6 = 102 . . . . . . . . simplified equation
2B) Solving the equation, you have
3x = 102 -6
x = 96/3 = 32
The number that could be a value of x is 32.
The side AB measures option 2. 
units long.
Step-by-step explanation:
Step 1:
The coordinates of the given triangle ABC are A (4, 5), B (2, 1), and C (4, 1).
The sides of the triangle are AB, BC, and CA. We need to determine the length of AB.
To calculate the distance between two points, we use the formula 
where (
) are the coordinates of the first point and (
) are the coordinates of the second point.
Step 2:
For A (4, 5) and B (2, 1), () = (4, 5) and () = (2, 1). Substituting these values in the distance formula, we get
So the side AB measures units long which is the second option.
Answer:
Julie's share of the profits is (6/16)($4000) = $1500
Step-by-step explanation:
Write and solve an equation of ratios:
Jane's contrib. $10000 10
---------------------- = -------------- = ------ .
Julie's contrib. $6000 6
Adding 10 and 6 together, we get 16.
Julie's share of the profits is (6/16)($4000) = $1500. Jane would take (10/16)($4000), or $2500.
9514 1404 393
Answer:
g(x) = √(x -5) +7
Step-by-step explanation:
To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...
g(x) = f(x -h) +k
To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...
g(x) = √(x -5) +7
