Answer:
A) 24
Step-by-step explanation:
4!
4 x 3 x 2 x 1
24
The graph that represents the given line with slope and y-intercept is as attached below.
<h3>How to interpret Linear Graphs?</h3>
We are given the equation;
x - y - 3 = 0
Now, the standard way we should put the equation would be in slope intercept form which is; y = mx + c
where;
m is slope
c is y-intercept
Thus, our equation can be rearranged to get;
y = x - 3
Thus, y-intercept is c = -3
The graph that represents the given line is as attached below.
Read more about Linear Graphs at; brainly.com/question/14323743
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The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C =

C = ( 4, 8 ), h=4, k=8
r =

r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
( x - 4 )² + ( y - 8 ) = 6.25
Answer:
3700hours
154days
Step-by-step explanation:
Speed can be defined as the distance cover per time, it can be expressed as
Speed= distance/ time........eqn(1)
Given:
distance between two planets= 4.07×10^¹²
speed of light = 1.1×10^⁹ kilometres per hour
Time= ??
Then substitute the values into equation (1) we have
Speed= distance/ time
1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time
Cross multiply, we have
Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)
Time= 3700hours.
To convert to day, we know that
60 minute= 1hour
24hour=1day
Time= (3700hour×1day)/24hour
Time= 154days approximately.
Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours
Answer: The coordinates of the vertex are : (-1,-2)
Step-by-step explanation: To find the x coordinate, we use the formula:
Xv = -b/2a = -6/(2.3) = -6/6 = -1
Replacing x by -1, we write:
y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2