The distance could be calculated as follows:
d =
d =
d =
<h3>
Answer: x > 2</h3>
Work Shown:
5x - 14x < - 18
-9x < - 18
x > -18/(-9)
x > 2
The inequality sign flips when dividing both sides by a negative number.
Here's another approach you could take.
5x - 14x < - 18
-9x < -18
0 < -18+9x
18 < 9x
9x > 18
x > 18/9
x > 2
It's a slightly longer pathway, but it avoids a sign flip when you divide both sides by the positive number 9.
The sign flip happens two steps earlier when going from 18 < 9x to 9x > 18. In other words, A < B is the same as B > A.
Your answer would be 1, or 72+25.
What is happening in this case is a negative number is being subtracted from a positive. This means you are taking away a negative. The two negatives cancel each other out, and then it becomes you are adding a positive.
Another way I like to think about this is the two minus symbols combine together to form a plus sign.
Hope this helped!
X+ y = 44
x - y = 6
—————
2x = 50
x = 25
y = 44-x = 19
Answer:
17
Step-by-step explanation:
Using the law of cosines in ΔABC
b² = a² + c² - (2ac cosB) ← substitute in values
= 25² + 28² - (2 × 25 × 28 × cos36.9°)
= 625 + 784 - 1400 cos36.9°
= 1409 - 1400 cos36.9° ( Take the square root of both sides )
b = 
≈ 17 ( nearest whole number )
