Answer:
The solution is any point in the common part of red and blue
The two lines intersect each other at (4 , 7)
Step-by-step explanation:
∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6
∵ y > 2x - 1 ⇒ y = 2x - 1
∴ 2x - 1 = 1/4 x + 6
∴ 2x - 1/4 x = 6 + 1
∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4
∴ x = 4
∴ y = 2(4) - 1 = 7
∴ The two lines intersect each other at (4 , 7)
∴ The solution is any point in the common part of red and blue
No solutions
If the lines are parallel that means that the lines NEVER intersect. And since the lines never intersect, there will be no solutions
~~hope this helps~~
Yep!
Weighing #1: Start off by splitting the pile of 12 coins evenly into two piles, 6 in each pile. Put one pile on each side of the balance. The side that is weighed down has the fake coin it in. Ignore the other 6 coins.
Weighing #2: Now you have 6 coins left. Split the pile evenly again, 3 in each pile. Repeat the same process and put each pile on one side of the balance. The side that is weighed down has your fake coin in it. Ignore the other 3 coins.
Weighing #3: You have 3 coins left. Take two coins, whichever two you like, and weigh them. If they weigh the same, then the one you didn't weigh is the fake one. If one is heavier, then that heavier one is your fake coin.
Answer:
(c) y-2 = -4(x-3)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line through point (h, k) with slope m
For (h, k) = (3, 2), and m = -4, the equation of the line is ...
y -2 = -4(x -3)
Answer: Hi!
Since this is a right triangle, we already know that one angle is 90 degrees. Since the angles of a triangle all add up to 180 degrees, and the two unknown angles will be equal, all we have to do is subtract 90 from 180 and then divide the difference by 2!
180 - 90 = 90
90 ÷ 2 = 45
The two missing angles are each 45 degrees.
(x = 45 and y = 45)
Make sure to put the degrees sign after your answers!
Hope this helps!
