Answer:
LK = 4
Step-by-step explanation:
given point J (4, 4 )
then LJ = 4 and JK = 4
using Pythagoras' identity in right triangle LJK
LK² = LJ² + JK² = 4² + 4² = 16 + 16 = 32 ( take square root of both sides )
LK =
=
=
×
= 4
25 = 5^2
90 = 2 . 3 . 3 . 5
GCF is not as greedy as LCM.
GCF is just on a diet, so it takes the same number and the smallest amount.
25 and 90 both have 5.
5^2 or 5 ?
Take the smaller one.
GCF = 5
Answer:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Step-by-step explanation:
The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:
x + y = 28
The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:
x - y = 6
Now solve equation B for x to get the revised equation B:
x - y = 6
x = 6 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 28
6 + y + y = 28
6 + 2y = 28
2y = 22
y = 11
Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:
x + y = 28
x + 11 = 28
X = 17
Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:
Sum: 17 + 11 = 28
Difference: 17 - 11 = 6
Hey there! :)
Answer:
d ≈ 3.49 units
Step-by-step explanation:
Use the distance formula for polar coordinates to determine the distance:
(The '0' is supposed to be theta)
Plug in the values given in the question. Convert radians to degrees to simplify the process.
217π/180 = 217°
-23π/36 = -115°.
Therefore:

Begin simplifying:


Solve:

d ≈ 3.49 units
You divide 16 and 3 to get 5.33 (repeating decimal)