Answer:
Step-by-step explanation:
The median is the average of the lengths of the two bases:
5x -20 = (12 + (4x -10))/2
5x -20 = 2x +1
3x = 21 . . . . . add 20-2x
x = 7
Then the lengths are ...
median = 5x -20 = 5·7 -20 = 15
base = 4x -10 = 4·7 -10 = 18
Answer:
The function y = -x whose reflection in the line y =x is itself.
Step-by-step explanation:
A reflection that maps every point of a figure to an image across a fixed line. Then the fixed line is called the line of reflection.
The reflection of the point (x,y) in the line y = x is the point (y, x).
Therefore, the function y = -x whose reflection in the line y =x is itself.
Symmetries of the function f(x)= -x is:
A function symmetric with respect to the y-axis is called an even function.
If f(-x) = f(x)
A function that is symmetric with respect to the origin is called an odd function.
if f(-x) = -f(x)
then, we must look at f(-x);
f(x) = -x
f(-x)= -(-x)= x = -f(x)
this function is symmetrical to with respect to origin.
Therefore, this function is an odd function.
Answer:
2.
Step-by-step explanation:
The gradient or slope of a straight line which is found between two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Where y2 = 7
y1 = 3
x2 = 4
x1 = 2
=> m = (7 - 3) / (4 - 2)
m = 4 / 2 = 2
The gradient is 2.
-1.6666 hope this helps you
We can solve this problem by the rule of three.
88 beats-------------------1 minute
3.1*10⁹ beats------------ x
x=(3.1*10⁹ beats * 1 minute) / 88 beats=35227272.73 minutes.
Now, we express this amount of time in years.
1 year=365 days
365 days=365 day*(24 hour/1day)*(24 hour /1day)*(60 minutes /1hour)=
=525600 minutes.
525600 minutes----------------------1year
35227272.73 minutes----------------x
x=(35227272.73 minutes * 1year) / 525600 minutes=67.0229 years
≈ 67 years.
Answer:this person can live 67 years.
