Answer:
b=32
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis
so in this cas the line intercept the y axis in the point (0,2)
so the answer is B
Answer:$3.50
Step-by-step explanation:
14/4 =3.5. To check answer multiply 3.5 by 4. You get 14
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:
A unit rate is a rate where the second quantity is one unit, such as $34 per pound, or 25 miles per hour.
Step-by-step explanation:
