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3 years ago

Please help me on this guy please

Mathematics

1 answer:

aev [14]3 years ago

6 0

Of course the answer is pop songs .

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mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago

PLEASE ANSWWR ASAP thanks

AleksAgata [21]

(4x - 8) = 80/2
4x - 8 = 40
4x = 48
x = 12
answer
x = 12

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3 years ago

Find the distance between the points (4, 3.5) and (4, -1.2) in the coordinate plane.

Alik [6]

Answer:

4.7

Step-by-step explanation:

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2 years ago

If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park? Explain. Please if you know th

grandymaker [24]

"If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park" its 2.45 acres.

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3 years ago

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Alex Ar [27]

Reflexive Property, the property where the quantity equals itself.

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3 years ago