Answer:
A: 112 degrees
Step-by-step explanation:
Answer:
The third X is 6. The fourth Y is 4.5
Step-by-step explanation:
The Rule : X is twice as large as Y. Y is half the size of X.
You can get this piece of information by looking at the different values.
For example, y=1 is x=2. This follows the rule. x=4 is y=2.
We have confirmed the rule is true, now we just need to carry the information into the other blocks!
Best of luck on the quiz! Please give brainliest if I helped you out!
This is hard to write... I hope this makes sense to you...
3x-2y=-39
x+3y= 31
We want to use elimination therefor, we need to either get our x or our y to add together to get zero.
To do this, we will multiply -3 to (x=3y=31)
NEW EQUATION
3x-2y=-39 PLUS
-3x-9y= -93 Equals
Answer: -11y= -54
y= 4.9
Plug in to solve for x (put new y in)
3x-2(4.9)=-39
x= -9.73
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
