Answer:
Step-by-step explanation:
<u>Function Modeling</u>
The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 
. The total distance of his legs from the floor is then:
This distance cannot reach or exceed 74.5 cm, thus
Solving for r
Or, equivalently
A(-4,5)
B(-3,1)
C(-5,2)
A rotated(3,1)
B rotated(2,5)
C rotated(4,4)
16 balls.
Let's call x the total number of golf balls that Ricardo had before he lost the first 6 balls. (x - 6).
Then he bought 12 more and lost 4 so basically 12 - 4 = 8
Add that to the equation: (x-6) + 8
And now that he has 18 golf balls at end of the second day the total must add to 18.
Full equation: (x-6) + 8 = 18
(x-6) + 8 = 18
(x-6) = 18 - 8 <-- Transpose
(x-6) = 10
16 - 6 = 10 <-- What would x have to be inoder to make this equation true? 16!
So x = 16
16 is the number of golf balls the Ricardo began with.
Answer:
Comparing each pair of lines,
AB and EF,
BC and FG,
CD and GH,
DA and HE.
For, AB and EF,
If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.
Also, we can use the formula, for the distance between two points on a coordinate plane,
,
As we can see in the image,
A = (-1, 1),
B = (-3, 2),
C = (-4, 4),
D = (-2, 6),
E = (2, 0),
F = (4, 1),
G = (5, 3),
H = (3, 5),
Solving using the formula,
AB = EF = √5,
BC = FG = √5,
CD = GH = √8,
DA = HE = √26,
Therefore, the length of all the sides of the polygon are the same,
Hence, the two figures are congruent.
Step-by-step explanation:
The answer is the third choic, or the line with the same slope.
