Answer:
The correct option is 1 and 4 are correct.
Step-by-step explanation:
The dilation is the enlargement and comparison of a figure according to the scale factor from the given center of dilation.
The rule DO,2(x,y)(2x,2y) express the dilation with factor 2 and the center of dilation is origin. It shows the enlargement of the triangle. The sides of image is twice of the preimage.
In dilation the corresponding angles remains same and the corresponding sides are equal.
Therefore option 1 and 4 are correct.
Answer:
the common ratio is 0.98.
Step-by-step explanation:
A fish population in a lake decreases by 2% each year. We are asked to find the common ratio.
The decrease of population of fish 2% annually means the population becomes next year 100% - 2% = 98%
Therefore, the common ratio would be 98%. Upon converting 98 percent to a decimal we will get,
98% = 
Therefore, the common ratio or decay factor is 0.98.
It equals 2, explanation 1+1=2
Answer:
(x - 5)² + (y + 3)² = 16
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (5, - 3) and r = 4, thus
(x - 5)² + (y - (- 3))² = 4², that is
(x - 5)² + (y + 3)² = 16 ← equation of circle
