Let the units of the problem be miles and hours. The first plane's distance from point p can be described by
... x = 150 -450t
The second plane's distance from point p can be described by
... y = 200 -450t
Since their flight paths are at right angles, the Pythagorean theorem can be used to describe the distance between them (s).
... s² = x² + y²
... s² = (150 -450t)² + (200 -450t)² = 22500 -135000t +202500t² +40000 -180000t +202500t²
... s² = 40500t² -315000t +62500 = 2500(162t² -126t +25)
... s = 50√(162t² -126t +25)
1. x/6 = 15 - 4
x = 11 × 6
x = 66
2. 2/7x = 3/14 - 1/7
2/7x = 3 - 2/14
2 = 7x/14
x = 4
3. 4+10 = x/2
14 × 2 = x
x = 28
Answer:
1.
2.
Step-by-step explanation:
1. Since this is a equation we know we have to get the variables to one side and the constants/rational numbers to the other. So you take 7y and you add -7y. You do that to the other side which will give you -4y=22. Since we cant have a negative variable, you flip the y to positive and flip the constant to negative leaving you 4y=-22. Then you distribute y leaving you y=-5.5
2.since we know the constants must be on 1 side of the equal sign, we subtract 123 on both sides, leaving us with 28y=-35. Distribute y and you get y=-0.8
<span>3y = x + 6
y – x = 3 -----------> x=y - 3 (substitute in 1st equation)
3y = y - 3 +6
3y - y = 3
2y = 3
y = 2/3
x= y - 3 = 2/3 -3 = 2/3 - 9/3 = - 7/3
</span>x= - 7/3, y = 2/3<span>
</span>
Answer:
73/3.14=23.2484076433
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation.
And that's it; you have the circle's diameter
