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cupoosta [38]
2 years ago
6

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

Mathematics
1 answer:
ASHA 777 [7]2 years ago
6 0
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

y = -1

Therefore, P(3,-1)

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2 years ago
Write an inequality for the graph below
andrezito [222]

Answer:

y > -1/4x + 4

Step-by-step explanation:

First find the equation of the line itself, which is y = -1/4x + 4, then determine if graph shades above the line or below the line. If it shades above which is true in this case, it will be greater than. If it shades below which does not occur in this case, it will be less than. Because the line is dashed and not solid, it will just be greater than or less than.

Therefore y = -1/4x + 4 → y > -1/4x + 4 [Shades above the line, line is dashed].

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2 years ago
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katrin2010 [14]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Find the value of x in the triangle shown below.<br> x =<br> 98°<br> 27°
Levart [38]

Answer: 55

Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.

Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.

Thus, we could label the points A, B, and C, and set up an algebraic expression.

Let A = 27, B = 98, and C = x.

A + B + C = 180°.

Substituting A, B, and C we get:

27 + 98 + x = 180°.

Adding, we get:

125 + x = 180°

Subtracting 125 by 180, we get:

x = 55°

Thus, the angle X is 55°.

We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.

5 0
1 year ago
Simplify 6x2y3/24y2x3
mafiozo [28]

                                        6 x² y³ / 24 x³ y²

Divide numerator
and denominator by  x² :        6 y² / 24 x y²

Divide numerator
and denominator by  y² :           6 / 24x

Divide numerator
and denominator by  6 :          <em> 1 / 4x  </em>




6 0
3 years ago
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