-- You have two angles.
-- They're complementary . . . they add up to 90 degrees.
-- One is 4 times as big as the other one.
___________________________________________
-- The smaller angle has 1 share of the 90 degrees.
-- The bigger angle has 4 shares of the 90 degrees.
-- (The smaller one is 1/4 the size of the bigger one.
The bigger one is 4 times the size of the smaller one.)
-- When you add them together, you get 5 shares, totaling 90 degrees.
-- What's the size of each share ? It's 90/5 = 18 degrees.
-- The smaller angle gets one share . . . 18 degrees.
-- The bigger angle gets 4 shares. (4 x 18) = 72 degrees.
____________________________________
Check:
-- Is the small one 1/4 the size of the big one ? 18/72 = 1/4 Yes.
-- Are they complementary ? Do they add up to 90 degrees ?
18 + 72 = 90 Yes.
yay !
(25-y) ^2-y^2=25
y=12
x=25-12
x=13
(13,12)
Answer: -4z
Step-by-step explanation:
If you subtract -3 by one, these negatives add up to be -4, making it -4z.
A. 7/11= 7 ÷ 11
B. 5/2= 5 ÷ 2
C. 9/10= 9 ÷ 10
D. 7/15= 7 ÷ 15
A fraction is just a division problem. 7/11 would be considered 7 ÷ 11 (or just 7/11) just do the same for the rest of the fractions.
Using an exponential function, it is found that the value of the function when x = 4 is of f(4) = 15.95.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- b is the rate of change, as a decimal.
In this problem, we have that f(-1)=5, hence:
a = 5b
We also have that f(7)=32, hence:
Since a = 5b:
![b = \sqrt[8]{\frac{32}{5}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B32%7D%7B5%7D%7D)
b = 1.2612.
a = 5b = 5 x 1.2612 = 6.306.
Hence the function is given by:
Then, when x = 4, we have that:
More can be learned about exponential functions at brainly.com/question/25537936
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