X² + y² - 10 x - 12 y + 36 = 0
( x² - 10 x + 25 ) + ( y² - 12 y + 36 ) - 25 - 36 + 36 = 0
( x - 5 )² + ( y - 6 )² = 25
( x - 5 )² + ( y - 6 )² = 5²
Answer:
The center: ( 5, 6 ), the radius: r = 5
Answer:
47
Step-by-step explanation:
follow Pemdas order of operations.
8 + (9 + 23) − 9 + 8 × 6 ÷ 3 =
8 + (32) - 9 + 8 x 6 ÷ 3
8 + (32) - 9 + 16
add and subtract the rest and u get 47
Answer:
<h2>B. Dilation centered at P, followed by reflection across the y-axis and then the line y = -x + 5</h2>
Step-by-step explanation:
<h3>Circle P.</h3>
Centerat (-1, 2).
Radius of 3.
<h3>Circle Q.</h3>
Center at (3, 4).
Radius of 5.
To carry one circle onto the other, their centers and radius must be the same.
So, circle P must be shifted from (-1, 2) to (3, 4), that means the translation is 4 units to the right side and two units upside, this is the first transformation.
The second transformation must be about stretching the circle P, from a radius of 3 to a radius of 5.
Therefore, the right answer is B.
Answer:
72÷6=12
so at the nursery it cost $12 per shrub
66÷6=11
so at the store it cost $11 per shrub
so if you buy 21 shrubs from the nursery it will cost: 12×21=$252
but if you buy 21 shrubs from the store it only cost: 11×21=$231
$252-$231=$21

The range of

is

for


for

The domain of any quadratic function is all real numbers.
In

,

, so the range is

So it's D.