Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 5 → (1)
7x - 5y = 2 → (2)
Multiplying (1) by 5 and (2) by 3 and adding will eliminate the y- term
10x + 15y = 25 → (3)
21x - 15y = 6 → (4)
Add (3) and (4) term by term to eliminate y
31x = 31 ( divide both sides by 31 )
x = 1
Substitute x = 1 into either of the 2 equations and evaluate for y
Substituting into (1)
2(1) + 3y = 5
2 + 3y = 5 ( subtract 2 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
Solution is (1, 1 )
Step-by-step explanation:
42 feet
If t=seconds you just plug in the 2 so the equation will be 25(2)-2(2)^2=50-8=42.
Hope this is right!
Answer:
(d) 1 unit
Step-by-step explanation:
The length of the dilated line segment is the product of the dilation factor and the length of the original line segment. It can also be computed as the length of the segment between the dilated coordinates.
<h3>Original line segment</h3>
The length of the original horizontal line segment BC is the difference of its x-coordinates:
BC = 6 -4 = 2 . . . . units
(We know the segment is horizontal because the y-coordinates of the end points are the same.)
<h3>Dilated segment</h3>
Multiplying the length of the original segment by the dilation factor, we find the length of B'C':
B'C' = dilation factor × BC
B'C' = 0.5×(2 units)
B'C' = 1 unit
<h3>Dilated Coordinates</h3>
The dilation factor multiplies each coordinate value:
B' = 0.5B = 0.5(4, 3) = (2, 1.5)
C' = 0.5C = 0.5(6, 3) = (3, 1.5)
The length of B'C' is the difference of x-coordinates: 3 -2 = 1 unit.
Answer:
20 lawyers
Step-by-step explanation:
48 ÷ 12 = 4
which means every year 4 lawyers are hired
5 × 4 = 20
so this means the law firm has hired 20 lawyers in the last 5 years