x,y - the numbers
one positive number is 5 less than twice a second number
(1) x - 5 = 2y
their product is 117
(2) xy = 117
(1) x - 5 = 2y <em>add 5 to both sides</em>
x = 2y + 5 <em>substitute it to (2)</em>
(2y + 5)y = 117 <em>use distributive property</em>
(2y)(y) + (5)(y) = 117
2y² + 5y = 117 <em>subtract 117 from both sides</em>
2y² + 5y - 117 = 0
2y² + 18y - 13y - 117 = 0
2y(y + 9) - 13(y + 9) = 0
(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0
y + 9 = 0 <em>subtract 9 from both sides</em>
y = -9
2y - 13 = 0 <em>add 13 to both sides</em>
2y = 13 <em>divide both sides by 2</em>
y = 6.5
<em>substitute the values of y to (1)</em>
x = 2(-9) + 5 = -18 + 5 = -13 < 0
x = 2(6.5) + 5 = 13 + 5 = 18
<h3>Answer: x = 18 and y = 6.5</h3>
Answer:
Charts, my friend.
Step-by-step explanation:
f(x)= |x-3| + 2
Easiest way is to make a chart tbh.
x | y
5 |5-3| + 2 = 4
4 |4-3| + 2 = 3
3 |3-3| + 2 = 2
2 |2-3| + 2 = 3
1 |1-3| + 2 = 4
0 |0-3| + 2 = 5
-1 |-1-3| + 2 = 6
:D
Your answer would be D.
This is because you could multiply 5/8 by 2 to get 10/16.
Answer:
42 degrees
Step-by-step explanation:
Complimentary angles are two angles whose total is equal to 90 degrees. Since we already know that Angle N measures at 48 degrees, all we have to do is subtract that from 90 degrees to find the measure of Angle I.
90 - 48 = 42
So, the measure of Angle I is 42 degrees! It's pretty easy finding complementary angles once you know how to. I hope this helps! Have a lovely day!! :)
(p.s. I do teaching textbooks too)
