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Ierofanga [76]
2 years ago
6

Lesson 24

Mathematics
1 answer:
Serggg [28]2 years ago
7 0
55
66
77
88
99. Hope this helps
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The graph of a line has a slope of -3 and passes through the point (-6,-4).
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Answer:

(A) y+4=-3(x+6)

Step-by-step explanation:

The point-slope form of the equation of a line whose slope is m and passes through the point (x_1, y_1) is: y-y_1=m(x-x_1)

Given the point: (x_1, y_1)=(-6,-4)

Slope, m=-3

x_1=-6\\y_1=-4

Substituting these values into:  y-y_1=m(x-x_1), we obtain the point slope form of the equation:

y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)

The correct option is A.

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3 years ago
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If triangles AMN and ABC are similar, then

AM/AB = AN/AC

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AM/(AM + MB) = AN/(AN + NC)

Check if this is true:

AM/AB = 21/(21 + 9) = 21/30 = 7/10

AN/AC = 14/(14 + 6) = 14/20 = 7/10

The angle at vertex A is common to both of the triangles.

Then by the side-angle-side (SAS) similarity theorem, the triangles are indeed similar.

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Answer:

  x = 2

Step-by-step explanation:

The solution set can be found by dividing the inequality by the coefficient of x.

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The smallest integer greater than 7/6 is 12/6 = 2.

The smallest integer solution is x = 2.

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