Answer:
53
Step-by-step explanation:
The vertex would be, (-2,-1)
Answer:
No
Step-by-step explanation:
The number is odd, so if he makes all 6 the number wouldn't make sense, because for every successful field goal he gets is 2points; so mathematically it wouldn't make sense.
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).
Answer:
1.8
Step-by-step explanation:
To do this, you need the slope formula
y^2 - y^1 over
x^2 - x^1
x^1 y^2 x^2 x^1
( 5, 11) (-5 -1)
-7 - 11 = -18
-5 -5 = -10 (divide) = 1.8
