The answer is 0 is this if i stands for a square root.
The answer is -81 if i is a variable.
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:
Step-by-step explanation:
Hello
Which expression is equivalent to 1/3 (5x + 3y) + 2/5y + 7 ?
a. 5/3x + 2/5y + 7
b. 5/3x + 7/5y + 7
c. 15x + 9 2/5y + 7
d. 15x + 2/5y + 7
1/3 (5x + 3y) + 2/5y + 7
= 5/3 x + y + 2/5 y + 7
= 5/3 x + 5/5 y + 2/5 y + 7
= 5/3 x + 7/5 y + 7
Answer : b
We are required to find the cost of each cherry tree and rose bushes.
The cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12
let
<em>cost of each cherry tree = x</em>
<em>cost of each cherry tree = xcost of each rose bushes = y</em>
The equation:
7x + 11y = 188 (1)
13x + 11y = 236 (2)
Subtract (1) from (2) to eliminate y
13x - 7x = 236 - 188
6x = 48
divide both sides by 6
x = 48 / 6
x = 8
substitute x = 8 into (1)
7x + 11y = 188 (1)
7(8) + 11y = 188
56 + 11y = 188
11y = 188 - 56
11y = 132
divide both sides by 11
y = 132 / 11
y = 12
Therefore, the cost of each cherry tree, x is $8 and the cost of each rose bushes, y is $12
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brainly.com/question/15165519
