First you need to make a line that is perpendicular to one side. The diagram is shown below. then the length of the line that is perpendicular to the triangle is
then the area of the equilateral triangle equals to
so the area would be
Answer:
x < 9
Step-by-step explanation:
Move the -4 over as if there was an equal sign so that x < 9
Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.
Let me know if this helps <3
Answer:
(-4,-∞)
Step-by-step explanation:
I think this is what you mean
Answer: Crickets make 172 chirps/min at 80 degrees Fahrenheit
Step-by-step explanation:
Step 1
Using the point slope formulae for Linear functions , we have that
y - y1 = m(x - x1)
where x and y are two points representing the temperature and chirps /min respectively
And
m= slope
Step 2 : Finding the slope , m
where x1=60
y1=92
x2= 75
y2=152
m= (y2-y1)/ (x2-x1)
= (152- 92)/(75-60)
=60/15 =4
Bringing down the point/slope formula and imputing the known values to find our equation to show the relationship cricket make per minute and the temperature
y - y1 = m(x - x1)
y - 92= 4(x - 60)
y - 92 = 4x -240
y = 4x - 240 + 92
y = 4x - 148
Step 3
To find the number of chirps be per minute (y) if the temperature is 80 degrees Fahrenheit( x)
y = 4(80) - 160
y = 320 - 148
y = 172 chirps/min at 80 degrees Fahrenheit
The known facts
- the sum of Natalie's age and Fred's age is 36
- the sum of Fred's age times four and Natalie's age is 72
Now, let's set up the equations where N is Natalie's age and F is Fred's age.
N + F = 36 ---- equation 1
N + 4F = 72 ---- equation 2
equation 2 minus equation 1 ---> 3F = 36 ---> F = 12, thus N = 24
Thus Fred is 12 years old, and Natalie is 24 years old.
