Answer:
543
Step-by-step explanation:
The 33rd percentile corresponds to a score of 542.4. In order for a score to be within the top 67%, it must be above that value. The least integer above that value is 543.
We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2
we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4
using a graph tool
see the attached figure
Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?
we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
<span>
the answer part A) is
</span>
the radius of circle 1 must be divided by 3 and translate the center of the circle 1 (10) units to the left and (4) units down
Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?
the answer Part B) is
the scale factor is (3/1)</span>
Answer:
42
Step-by-step explanation:
We use (BODMAS) :
Brackets
Order/Index
Division
Multiplication
Addition
Subtraction
Now we do bracket first :
7(3²) = 7(9) = 63
Now we do division :
63÷3 = 21
Now we do multiplication :
2 × 21 = 42
Hope this helped and have a good day
Answer:

Step-by-step explanation:
No value of w is given, so we can only tell you the meaning of <em>min(10, w)</em>:
When w < 10, min(10, w) is w.
When w ≥ 10, 10 is the smaller of the two values, so min(10, w) = 10.
Answer:
(-1, -1/2)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( -11+9)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates and divide by 2
(0+-1)/2 = -1/2
(-1, -1/2)