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andre [41]
3 years ago
14

X^2 - 10x + 24 = 024

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Answer:

x=0,10

Step-by-step explanation:

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What is the image point of (-12, -8) after the transformation R270° 0 D. ?
Gennadij [26K]

Given:

The point is (-12,-8).

Rule of transformation is R_{270^\circ}\circ D_{\dfrac{1}{4}}.

To find:

The coordinates of image after transformation.

Solution:

According to the rule of transformation R_{270^\circ}\circ D_{\dfrac{1}{4}}, first the point is dilated by factor \dfrac{1}{4} with origin as center of dilation after that it was rotated 270 degrees anticlockwise.

If a point is dilated by factor \dfrac{1}{4} with origin as center of dilation, then

(x,y)\to \left(\dfrac{1}{4}x,\dfrac{1}{4}y\right)

(-12,-8)\to \left(\dfrac{1}{4}(-12),\dfrac{1}{4}(-8)\right)

(-12,-8)\to \left(-3,-2\right)

If a point is rotated 270 degrees anticlockwise, then

(x,y)\to (y,-x)

(-3,-2)\to ((-2),-(-3))

(-3,-2)\to (-2,3)

Therefore, the coordinates of image after transformation are (-2,3).

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Andrew makes $6 an hour plus $9 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week
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Answer:

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Step-by-step explanation:

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43 + (x + 15) + (180 - 3x) = 180 ----> Combine like terms.

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