Answer:
(x - 5)² + (y + 7)² = 81
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, - 7) and r = 9, thus
(x - 5)² + (y - (- 7))² = 9², that is
(x - 5)² + (y + 7)² = 81 ← equation of circle
Answer:
1) 4
2) 1.5
3) 8
4) 1
5) 5
6) 9
Step-by-step explanation:
<h3>
1)</h3><h3>
√16</h3>
= √(4x4)
= √(4)²
<h3>= 4</h3>
<h3>
2)</h3><h3>
√2.25</h3>
= √(9/4)
= √(3x3)/(2x2)
= √(3)²/(2)²
= 3/2
<h3>= 1.5</h3>
<h3>3)</h3><h3>6² ÷ 9 x 2 </h3>
= 36 ÷ 9 x 2
= 36 x 1/9 x 2
= 36/9 x 2
= 12/3 x 2
= 4 x 2
<h3>= 8</h3>
<h3>4)</h3><h3>12-2 / 6+4</h3>
= 10/10
<h3>= 1</h3><h3 /><h3>5)</h3><h3>√(16+9)</h3>
= √(25)
= √(5x5)
= √(5)²
<h3>= 5</h3><h3 /><h3>6)</h3><h3>63 ÷ 3² + |2|</h3>
= 63 ÷ 9 + |2|
= 63/9 + |2|
= 21/3 + |2|
= 7 + |2|
<h3>= 9</h3>
Given:
The race percent of population is
White: 45%
Hispanic: 27%
Black: 18%
Asian: 7%
Other: 3%
Part a.
The university has 2,815 Hispanic out of the 20,250 total population.
This is equivalent to (2815/20250)*100 = 13.9%
This percentage is less than 27%, so Hispanics do not have proportional representation.
Answer: The Hispanic students do not have proportional representation.
Part b.
Let x = the extra number of Hispanic students needed for proportional representation of 27% or 0.27.
Then
(2815 + x)/20250 = 0.27
2815 + x = 20250*0.27 = 5467.5
x = 5467.5 - 2815 = 2652.5
This means that 2,653 extra Hispanic students are required for a population of 20,250 students.
Answer: 2,653 extra Hispanic students.
The slope of the line with the points (2,-5) and (-6,5) is 5/-4 (or 10/-8).
