Answer:
75 seconds to run 180 meters
Step-by-step explanation:
(180m) / (2.4m/s) = 75 seconds
75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.
The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.
Answer:
<h3>(x+8)² + (y - 9)² = 100</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)² + (y - b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given
Centre (-8, 9) where a = -8, b = 9
radius r = 10
Substitute into the formula to get the required equation;
(x-(-8))² + (y - 9)² = 10²
(x+8))² + (y - 9)² = 10²
(x+8)² + (y - 9)² = 100
Hence the required equation is (x+8)² + (y - 9)² = 100
Answer:
step1
Step-by-step explanation:
Answer:
<h2>A. (0,1)</h2>
Step-by-step explanation:
The question lacks the e=required option. Find the complete question below with options.
Which of the following points does not belong to the quadratic function
f(x) = 1-x²?
a.(0,1) b.(1,0) c.(-1,0)
Let f(x) = 0
The equation becomes 1-x² = 0
Solving 1-x² = 0 for x;
subtract 1 from both sides;
1-x²-1 = 0-1
-x² = -1
multiply both sides by minus sign
-(-x²) = -(-1)
x² = 1
take square root of both sides;
√x² = ±√1
x = ±1
x = 1 and x = -1
when x = 1
f(x) = y = 1-1²
y = 1-1
y = 0
when x = -1
f(x) = y = 1-(-1)²
y = 1-1
y = 0
Hence the coordinate of the function f(x) = 1-x² are (±1, 0) i.e (1, 0) and (-1, 0). The point that does not belong to the quadratic function is (0, 1)
Π=180º
Cos(19π/6)=cos(19*180º/6)=cos (570º)=cos(210º+360º)=cos(210º)=
=-cos 30º=-√3 / 2≈-0.866...
Answer: cos(19π/6)=-cos 30º=-√3/2
