Answer:
The jeweler made 11 bracelets and 7 necklaces.
Step-by-step explanation:
Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:
(16 - 6) x 7 = 70
178 - 70 = 108
108/6 = 18
18 - 7 = 11
(11 x 6) + (7 x 16) = X
66 + 112 = X
178 = X
Thus, the jeweler made 11 bracelets and 7 necklaces.
Length = x + y
Area of a square = Length x Length
The expression can be :
1) Area of the square = (x + y)(x + y)
2) Area of the square = (x + y)²
3) Area of the square = x² + 2xy + y²
Set up a system of equations.
X+y=6
Y-x =40
Substitution method.
Y=6-x
(6-x)-x =40
6-2x=40
-2x=34
X= -17
Plug it back into the equation.
-17+y=6
Y=33
(-17,33) is one of the possible answers.
Answer:
f(2) = g(2)
General Formulas and Concepts:
<u>Alg I</u>
- Reading a Cartesian Plane
- Identifying Coordinates
- Solutions of systems of equations
Step-by-step explanation:
We see from the graph that f(x) and g(x) intersect at x = 2. Therefore, the point at x = 2 would be equivalent in both graphs/be a solution to both equations.
Therefore, f(2) must equal g(2), as they intersect each other at that point and have the same value of 0.
The midpoint formula is basically (averaging the x coordinates, averaging the y coordinates).
Point A: (3, 7)
Point B: (2, -1)
Midpoint x: (3 + 2) / 2 = 5 / 2
Mindpoint y: (7 - 1) / 2 = 3
Therefore, the midpoint of the segment is choice C (5/2, 3)
