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sleet_krkn [62]
2 years ago
7

A line with a slope of 2/5 passed through the point (-2,3). Write the equations of the line in point-slope form and graph the li

ne
Mathematics
1 answer:
DochEvi [55]2 years ago
5 0

Answer:

y - 3 = (2/5)(x + 2)

Step-by-step explanation:

Start with the general point-slope form of the equation of a straight line:

y - k = m(x - h).  Now substitute -2 for h and 3 for k, and also 2/5 for m:

y - 3 = (2/5)(x + 2)

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Answer:

\angle B=41.81^\circ

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

\displaystyle \sin \angle B=\frac{2}{3}=0.667

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3 years ago
Find a ⋅ b. a = 4i - 4j, b = 4i + 5j
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value of a.b = -4

Step-by-step explanation:

We need to find a.b

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We know that i.i =1, j.j=1, i.j =0 and j.i=0

a.b = (4i-4j).(4i+5j)

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a.b = 16(1) +20(0)-16(0)-20(1)

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a.b =-4

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