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elena55 [62]
3 years ago
8

Convert the point-slope form to slope-intercept form y– 4 = -3(x + 2)

Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

y = -3x - 2.

Step-by-step explanation:

y - 4 =  -3(x + 2)

y - 4 = -3x - 6

y = -3x - 6 + 4

y = -3x - 2.

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Find the angle made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest in
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<h2>Answer:</h2>

55°

<h2> Step-by-step explanation:</h2>

To solve this, follow these steps:

i. <em>Make a sketch of the problem</em>.

The sketch has been attached to this response.

ii. <em>Label the sketch properly</em>

As shown in the sketch, θ is the angle between the x-axis and the terminal side resulting from connecting the origin to (5,7).

iii. <em>Solve using the tangent trigonometric ratio</em>

With the proper sketch and labelling, a right triangle is formed with the adjacent and opposite sides to the angle being  5 units and 7 units respectively.

Using the tangent formula,

tan θ = opposite / adjacent

tan θ = 7 / 5

θ = tan⁻¹ (7/5)

θ = tan⁻¹ (1.4)

θ = 54.46

θ = 55° to the nearest integer.

Therefore, the angle  made by the x axis and the terminal side resulting from connecting the origin to (5,7), rounded to the nearest integer is 55°

3 0
2 years ago
Prove that for all integers a and b, if a mod 7 = 5 and b mod 7 = 6 then ab mod 7 = 2.
sergiy2304 [10]
Hello :
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then : ab ≡ 2 ( mod 7)
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