3 years ago

Factor completely 9x2 + 9x -28

Mathematics

1 answer:

professor190 [17]3 years ago

4 0

Answer:

Your answer is (3x - 4) (3x + 7)

Step-by-step explanation:

Hope my answer has helped you and if not i'm sorry.

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4.2

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2 years ago

Find the distance between the points (-9,0) and (2,5)

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Answer:

sqrt(146)

Step-by-step explanation:

The distance between these two points can be the hypotenuse of our right triangle.

We can create a right triangle with two legs of length 11 and 5. To solve for the hypotenuse, we apply the pythagorean theorem

sqrt(5^2+11^2)=sqrt(146)

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3 years ago

5. Find the point P along the directed line segment from X(-3, 3) to Y(6,-3) that divides

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Consider point P(x,y) such that P, X and Y are collinear,

As vectors

XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)

Similarly,

PY = (6-x, -3-y)

But XP= 2^PY

[x+3, y-3] = [2(6-x), 2(-3-y)]

Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:

x+3 = 12 - 2x

x = 3

y-3 = -6-2y

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Therefore, P(3,-1)

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