The center after enlargement using scale factor is (4.5,0.5).
What is Scale factor ?
The ratio between the scale of an original thing and a new object that is a representation of it but is a different size is known as a scale factor (bigger or smaller). For instance, if a rectangle has sides of 2 cm and 4 cm, it can be made larger by multiplying each side by a certain number, in this case 2.
Here the given coordinate point is,
=> (x,y)=(3,1)
Now enlarging the coordinator using scale factor k
=> (x,y)= (kx,ky)
Now put k=2 then
=> (x,y)=(0.5*3, 0.5*1)
=>(x,y) = (4.5,0.5)
Hence the answer is (4.5,0.5).
To learn more about scale factor
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Answer:
14 % discount
Step-by-step explanation:
39.00 x .14 = 5.46
39.00 -5.46 = $33.54
These lines look like the MEDIANS of each side of the triangle. A median bisects a side of the triangle (splits it exactly in half) into two equal halves. Where 3 medians of a triangle meet is termed the CENTROID of the triangle.
Answer:
2. x = 47
3. x = 2
Step-by-step explanation:
These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.
2. 28(7) = 4(x + 2)
Distribute = 196 = 4x + 8
Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x
Solve for x: x = 47
3. 2(2x + 7) = 11(3x - 4)
Distribute: 4x + 14 = 33x - 44
Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x
Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x
Solve for x: x = 2