Solution:
As given Square L M NO is dilated by a scale factor of two about the center of the square to create square L'M'N'O'.
Original line of Dilation = Along P Q
New Dilated line = P'Q'
As scale factor > 1
1. Image Size > Pre image size
2. The two images will be similar.
3. Length of Dilated Line P' Q' = 2 × Length of PQ
As you can see from the diagram drawn below, Dilated line P'Q' will contain the point P and Q.
All four points P,Q,Q',P' are collinear , lie in the same line.
Option (2) dilated line P'Q' will contain the points P and Q is true.
Answer:
Equation of circle in standard form with centre (0, – 10) and radius 6. 
Step-by-step explanation:
We need to write equation of circle in standard form with centre (0, – 10) and radius 6.
The equation of circle is: 
where (h,k) is centre of circle and r is radius
We are given centre (0,-10) so, h=0, k=-10 and radius r = 6
Putting values and finding equation:
So, equation of circle in standard form with centre (0, – 10) and radius 6.
Answer:
x = ±2sqrt(15)
Step-by-step explanation:
x^2 = 60
Take the square root of each side
sqrt(x^2) = ±sqrt(60)
x = ±sqrt(60)
x = ±sqrt(4 *15)
x = ±2sqrt(15)
Answer:
1/6
Step-by-step explanation:
First you make the denominator on the fractions the same
3 * 2 = 6
Multiply the number the same for the numerator
3 * 1 = 3
so the fraction is 3/6 since 3/6 = 1/2
4/6 - 3/6 = 1/6
she has 1/6 pipe left
500,000
The nearest hundred thousand would be 500,000 and 600,000, but since 541,776 has 4 in next unit, it rounds down.
