1/8 of the cake has not been eaten.
Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
Answer:
The coordinates of the mid-point are :

Step-by-step explanation:
We know that, the coordinates of the mid-point (<em>x</em>, <em>y</em>) of a line segment joining the points (<em>x</em>₁, <em>y</em>₁) and (<em>x</em>₂, <em>y</em>₂) is given by

Now, we have the given points as (3, 5) and (-2, 0).
By using the above formula, coordinates of the mid-point (<em>x</em>, <em>y</em>) of the line-segment joining the points (3, 5) and (-2, 0) is given by,


∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is
.
The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that
has at least two real roots
The equation is given as: 
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of 
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that
crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500
This means that
has at least two real roots
Read more about roots of an equation at:
brainly.com/question/12912962
Answer:
60 miles
Step-by-step explanation:
If it takes 15 hours to travel 900 miles then it gives you the fraction 15/900 where the numerator(top number) is 15 and denominator(bottom number) is 900.
Then to simplify it: since 15 is a common factor of itself(15) and 900, 15/15 = 1(1 hour) and 900/15 = 60(60 miles).