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xeze [42]
3 years ago
6

169= (24/2)^2 +(d/2)^2

Mathematics
1 answer:
OlgaM077 [116]3 years ago
6 0

Answer: d = ±10

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

169 = (\frac{24}{2})^{2} + (\frac{d}{2})^{2}

169 = (12)² + \frac{d^{2}}{4}

169 = 144  + \frac{d^{2}}{4}

25 =            \frac{d^{2}}{4}

100 = d²

√100 = √d²

 ±10 = d

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What are the coordinates of the image of (-6, 2) after a counter clockwise
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Answer:

  (6, -2)

Step-by-step explanation:

Rotation about the origin 180° in either direction negates both coordinates. The transformation is ...

  (x, y) ⇒ (-x, -y)

The image point of (-6, 2) is (6, -2).

8 0
3 years ago
A ball is thrown into the air with an upward velocity of 40 ft/s. Its height h in feet after t seconds is given by the function
goblinko [34]

Answer:

h=25

Step-by-step explanation:

From the question we are told that:

Velocity v=40fts

The height h function

 \large h=-16t^2+40t

Generally time t is mathematically given by

 h'=-32t+40

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 t=\frac{40}{32}

 t=1.25

Therefore  the ball's maximum height is given as

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4 0
3 years ago
Write the equation of a line in slope-intercept form that is parallel to the given line and passes through the point (12,-25).
lina2011 [118]

Answer:

m_1 = m_2 = \frac{1}{4}

And then since the new equation have the following form:

y = m_2 x +b

We can use the point given (x=12, y = -25) in order to find the intercept with this equation:

-25 = \frac{1}{4} (12) +b

And solving for the intercept b we got:

-25 = 3 +b

We subtract in both sides 3 and we got:

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And our final equation who satisfy the condition given is:

y= \frac{1}{4} x -28

Step-by-step explanation:

For this case we have the following equation given:

y = \frac{1}{4} x + 2

And we want to find an equation of a line parallel to the given function and this case we need to satisfy this condition:

m_1 = m_2 = \frac{1}{4}

And then since the new equation have the following form:

y = m_2 x +b

We can use the point given (x=12, y = -25) in order to find the intercept with this equation:

-25 = \frac{1}{4} (12) +b

And solving for the intercept b we got:

-25 = 3 +b

We subtract in both sides 3 and we got:

b = -25-3 = -28

And our final equation who satisfy the condition given is:

y= \frac{1}{4} x -28

4 0
4 years ago
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5 0
4 years ago
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Mashcka [7]

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hope this helps!!

5 0
3 years ago
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