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Makovka662 [10]

3 years ago

10

Please answer this with the steps included please y-10 = -5/4x + 30/4 for middle school

1 answer:

Phantasy [73]3 years ago

7 0

<span>y-10 = -5/4x + 30/4 represents a linear function; we know that because both x and y have the power 1.

We could put this equation into one of several forms.

Suppose we wanted to put it into slope-intercept form. Then </span><span>y-10 = -5/4x + 30/4 becomes y = 10 + 30/4 - (5/4)x, or y = 35/2 - (5/4)x. Thus, this line has the slope -5/4 and the y-intercept (0, 35/2).

If this isn't quite what you wanted, then please share the instructions.

</span>

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Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

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Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

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If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

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

(x, y) → $(\frac{2}{3}x, \frac{2}{3}y)$

By this rule coordinates of the image points of A and B will be,

A(8, 6) → $A'(\frac{2\times 8}{3},\frac{2\times 6}{3})$

→ A'(5.3, 4)

B(12, 12) → $B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})$

→ B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of $\frac{2}{3}$ .

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