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12345 [234]
3 years ago
12

What is the slope of a line which makes an angle of 45 degree with x-axis? *​

Mathematics
2 answers:
tatyana61 [14]3 years ago
8 0

Answer:

First we have to find slope m=Tan45°=1

so slope is 1.

Vinvika [58]3 years ago
4 0

Answer:

slope = 1

Step-by-step explanation:

The relationship between slope and the positive angle it makes with the x- axis is

slope = tanθ ( θ is the angle measured from the x- axis ), then

slope = tan45° = 1

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Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 t
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Answer:  The correct option is (D) P″(9, -12) and Q″(15, -3).

Step-by-step explanation:  Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.

The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.

We are to find the co-ordinates of the vertices P″ and Q″.

<u>Case I :</u>  ΔPQR dilated to ΔP'Q'R'

The co-ordinates of P' and Q' are given by

P'(3\times 1.5, -4\times 1.5)=P'(4.5, -6),\\\\Q'(5\times 1.5, -1\times 1.5)=Q'(7.5, -1.5).

<u>Case II :</u>  ΔP'Q'R' dilated to ΔP''Q''R''

The co-ordinates of P'' and Q'' are given by

P''(4.5\times 2, -6\times 2)=P'(9, -12),\\\\Q'(7.5\times 2, -1.5\times 2)=Q'(15, -3).

Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).

Option (D) is CORRECT.

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