You must use Pythagorean theorem, which is
a and b are both legs (the two legs are the sides that form a perpendicular right angle) while c is the hypotenuse (side opposite the right angle)
In this case...
a = y
b = 8
c = 12
^^^Plug these numbers into Pythagorean theorem
Simplify as much as possible
+ 64 = 144
Isolate y by subtracting 64 to both sides
+ (64 - 64) = 144 - 64
= 80
Further isolate y by taking the square root of both sides. This will take away the square from the left side
y =
<<< Can be further simplified
4√5 = y
Hope this helped!
~Just a girl in love with Shawn Mendes
The expression of function g(x) is
<h3>How to determine the expression?</h3>
The function is given as:
When the function is shifted right by 1 unit, the rule is:
f'(x) = f(x - 1)
So, we have:
When the function is compressed horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
Hence, the expression of function g(x) is
Read more about function transformation at:
brainly.com/question/13810353
#SPJ1
In this pattern all are divisible by 5
20 i.e. divisible by 5
25 is divisible by 5
30 is divisible by 5
35 is divisible by 5
Hence the pattern contain factor 5
Answer: 49
==============================================
Explanation:
HI is parallel to KL, so this means that the two triangles can be proven similar through the AA (angle angle) similarity theorem.
Consequently, that means we can set up the proportion below
JH/JK = HI/KL
noticed how the left slant sides JH and JK pair up together on one side; the horizontal sides HI and KL pair up on the other side. I have the larger triangle's side lengths as the numerator for each side
Plug in the given values. Solve for HI
JH/JK = HI/KL
35/15 = HI/21
7/3 = HI/21
21*7 = 3*HI
3*HI = 147
HI = 147/3
HI = 49
This means that 35/15 = HI/21 turns into 35/15 = 49/21
Note: to check the answer that the last equation mentioned is true, we can subtract the fraction 49/21 from both sides to end up with 35/15 - 49/21 = 0. If you type "35/15 - 49/21" into your calculator, you should get 0, which will help confirm we have the right answer.
Answer:
The inequality shown is 5.
Step-by-step explanation:
It's just asking for the inequality so you can basically just add the distance like 4 + 5 = 9.