Answer:
(a) center: (0, 0); radius: 4
(b) center: (8, -3); radius: 10
(c) center: (-2, -7); radius: 7
(d) center: (6, 0); radius: 1
(e) center: (0, 0); radius: 5
(f) center: (3, 8); radius: 8
Step-by-step explanation:
In the figure attached, the complete question is shown.
Equation of a circle with center (h, k) and radius r:
(x - h)² + (y - k)² = r²
Answer:
-15
Step-by-step explanation:
the new temperature since it went down
-12-3= -15
<h2>4x=32</h2><h2>x=32/4</h2><h2>x=8</h2>
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Answer:
width is 4
height is 20
Step-by-step explanation:
Area=½ width × height
let the width be x
height will be 6x - 4
40 = ½ × x × (6x - 4)
40 = 2/2 × 3x² - 2x
40 = 3x² - 2x
3x² - 2x - 40 = 0
3x² -12x + 10x - 40 = 0
3x(x-4) + 10(x-4) = 0
(3x + 10)(x - 4) = 0
x = -10/3 or 4
dimension cannot be negative
x is 4
6x-4= 6(4) - 4
24 - 4
20
Answer:
B) 4 miles
Step-by-step explanation:
the big triangle CAB and small triangle CED are simular (given)
this means the ratio between their corresponding sides will be the same.
find corresponding sides with alternate interior angle theorem
m CDE= m CBA
vertical angles theorem
m ACB = m DCE
therefore, AC corresponds to CE
find ratio of sides
7 miles = 36960 feet
36960/ corresponding side 21 ft
36960/ 21= 1780 ft
multiply by 1780 to get from small side to big side
small side CE = 12 ft
12*1780
=21120 ft =AC (in ft)
convert to miles (ft to miles is ft/5280)
21120/5280
=4 miles
hope this helps
