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Sveta_85 [38]
3 years ago
14

ILIO

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Answer:

a. sine

Step-by-step explanation:

As it can be seen from the figure, triangle ABC is the right-angled triangle with Angle C is equal to 90 degree.

In a right-angled triangle, there is a formula as following:

<em>+) sine (an acute angle) = (length of its opposite side)/ hypotenuse</em>

In the figure, angle B and length of the hypotenuse are given.

As x is the length of AC and AC is the opposite side to angle B

=> So that we can use sine to find x

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Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +
aleksley [76]

Answer:

<h2>y = -5x - 10</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================

\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10

7 0
3 years ago
Identify the graph of xy=-8 for theta=pi/4 and write and equation of the translated or rotated graph in general form.
eduard

Answer:

B

Step-by-step explanation:

I hope this helps!

4 0
3 years ago
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Which equation in slope intercept represents the line that goes through the points (-1, 6) and (1, -2)
Afina-wow [57]

Answer:

D) y=-4x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-6)/(1-(-1))

m=-8/(1+1)

m=-8/2

m=-4

y-y1=m(x-x1)

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y-6=-4(x+1)

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29 square inches

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5 x 5 = 25

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27 + (4 x 0.5)

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