Answer:
hello :
60x² – 155x + 100 = 5 ( 12 x² - 31 x + 20 )
delta of ( 12x² - 31 x + 20 ) is b² - 4ac when : a = 12 b = -31 c = 20
delta = ( - 31 )² - 4(12)(20) = 961 - 960 = 1
x1 = (31-1)/24 = 30/24 = 5/4
x2 = (31+1)/24 = 32/24 = 4/3
Factor 60x2 – 155x + 100 = 5 (12(x -5/4)(x- 4/3)) = 60 (x -5/4)(x- 4/3)
Answer:
Step-by-step explanation:
First plot the x and y on graph,
at (4,2)
The slope is -2/3
slope= rise/run, negative menas graph up to the left
go along the x axis 3 units left from (4,2) then travel upwards 2 units
Answer:
a)The slope of A"D" is 3
The slope of B"C" is 3
b) The line segments A"D" and B"C" are congruent and parallel.
Step-by-step explanation:
The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3.
Since translation and reflection are rigid transformations, the preimage and the image are congruent.
This means that the lengths of the corresponding sides are equal.
Hence AD=A"D'' and B"C"=BC
However, since the image after a reflection in the y-axis is laterally inverted, the slope of A"D" will be negative of the slope of AD.
Similarly, the slope of B"C" will be negative of the slope of BC.
The slope of A"D" is 3
The slope of B"C" is 3
Since the two line segments have the same slope, they are parallel.
There are 28 squares in the box. Hope this helps you
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