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2 answers:
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Answer:
Step-by-step explanation:
Let the ends of the given segment are A and B.
Coordinates of A → (8, 6)
Coordinates of B → (12, 12)
If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,
(x, y) → (kx, ky)
If k =
(x, y) →
By this rule coordinates of the image points of A and B will be,
A(8, 6) →
→ A'(5.3, 4)
B(12, 12) →
→ B'(8, 8)
Now we can get the image of segment AB after dilation by a scale factor of .
The three integers are 5,17 and -10
Step-by-step explanation:
Let x, y and z be three integers then
'The sum of the first and second integers exceeds the third by 32'
The third integer is 15 less than the first.
From Eqn 2:
Subtracting Eqn 1 from eqn 2
Dividing both sides by -2
Putting z=-10 in Eqn 3
Putting x=5 and z=-10 in Eqn 1
Hence,
The three integers are 5,17 and -10
Keywords: Linear Equations, Variables
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