Answer:I think 4/3
Step-by-step explanation:
Answer:
(5, 9 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
(- 5, 9 ) → (5, 9 )
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.
Answer:
Step-by-step explanation:
Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.
120 = L + 2W
Where
LW = area.
Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60
On substituting, we have
A = LW = (120 - 2W) W
From the first equation, making L the subject of the formula, we have this
L = 120 - 2W, which then we substituted above.
On simplification, we have
L = 120W -2W²
Differentiating, we have
A' = 120 - 4W = 0
Remember that W = 30
So therefore, L = 120 - 2(30) = 60 feet
