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Lubov Fominskaja [6]
2 years ago
14

Find x. Give your answer in the

Mathematics
1 answer:
garri49 [273]2 years ago
7 0

Answer:

x = 4

Step-by-step explanation:

sin 30 = x/8

0.5 = x/8

x = 4

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Answer:

StGraph the line using the slope and y-intercept, or two points.

Slope: −47

y-intercept: (0,−4)

x     y

−7    0

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step-by-step explanation:

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67. The line contains the point (4,0) and is parallel<br> to the line defined by 3x = 2y.
olganol [36]

Answer:

y=\frac{3}{2} x-6

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:
  • y=mx+b where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
  • Parallel lines will always have the same slope but different y-intercepts.

<u>1) Determine the slope of the parallel line</u>

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

3x = 2y

Switch the sides

2y=3x

Divide both sides by 2 to isolate y

\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x

Now that this equation is in slope-intercept form, we can easily identify that \frac{3}{2} is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope \frac{3}{2} . Plug this into y=mx+b:

y=\frac{3}{2} x+b

<u>2) Determine the y-intercept</u>

y=\frac{3}{2} x+b

Plug in the given point, (4,0)

0=\frac{3}{2} (4)+b\\0=6+b

Subtract both sides by 6

0-6=6+b-6\\-6=b

Therefore, -6 is the y-intercept of the line. Plug this into y=\frac{3}{2} x+b as b:

y=\frac{3}{2} x-6

I hope this helps!

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2 years ago
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Relationship between rotation and reflection:

In reflection, the pre-image gets flips across the same line.

whereas in rotation, the pre-image get spin around a point.

Rotations can be represented as two reflections i.e. the composition of reflections over two intersecting lines is always equal to rotation of that object.

In rotation, the object will get turned, this is turning some degree either clockwise or anti-clockwise.

Hence, rotation requires spinning and reflection requires flipping.

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