Answer: 12.65 cm
Step-by-step explanation:
Use the Pythagoras theorem,
a^2 + b^2= c^2
You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length
c^2 - b^2 = a^2
14^2 - 6^2 = 160
Square root 160 to find the missing length
12.65
Hope this helped :)
Answer:
Algebracicaly speaking the answer would be either -13.3876 or - 158.612 through the quadratic equation, but these answers don’t make sense in this real world scenario.
Step-by-step explanation:
Answer:
f(g(9)) = 945/16
Step-by-step explanation:
To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).
g(x) = x + 3/4
f(x) = x² - 4x - 3
f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3
f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3
f(g(x)) = x² - 5/2x + 9/16 + 3 - 3
f(g(x)) = x² - 5/2x + 9/16
Now, put a 9 wherever there is an x in f(g(x)).
f(g(9)) = (9)² - 5/2(9) + 9/16
f(g(9)) = 81 - 5/2(9) + 9/16
f(g(9)) = 81 - 45/2 + 9/16
f(g(9)) = 117/2 + 9/16
f(g(9)) = 945/16
Answer:
2,000 miles
Step-by-step explanation:
We are given:

This can be rewritten as:

This is representative of a unit rate, as we have a
in the denominator. To calculate the number of miles in
inches, simply multiply the unit rate by
:


This can rewritten as:

Therefore, there are 2,000 miles in 4 inches.
-
We can check our solution by simplifying the fraction
by dividing both
and
by
to see if we achieve the unit rate:

Since this is in fact the unit rate, our solution is correct!
Answer:
7-6g
Then you do the 1 step equation.
Divide both sides by 6.
1.16=g
I'm not sure if it's right.