3 years ago

Please answer this question correct now fast

Mathematics

1 answer:

Tom [10]3 years ago

8 0

Answer: 14.1

Step-by-step explanation:

Law of cosines:

d^2 = 8^2 + 10^2 - 2(8)(10)cos103

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3 years ago

Write an equation of the line that is perpendicular to the line y = 1 2 x + 8 that passes through the point (4,6)

Katen [24]

Answer:

$\large\boxed{y=-2x+14}$

Step-by-step explanation:

$\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ y=\dfrac{1}{2}x+8\to m_1=\dfrac{1}{2}.\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{2}}=-2.\\\\\text{The equation of the searched line:}\ y=-2x+b.\\\\\text{The line passes through }(4,\ 6).$

$\text{Put thecoordinates of the point to the equation.}\ x=4,\ y=6:$

$6=-2(4)+b\\\\6=-8+b\qquad\text{add 8 to both sides}\\\\b=14$

6 0

3 years ago

Read 2 more answers

Jillian measured the distance around a small fish pond as 27 yards. Which would be a good estimate for the distance across the p

DochEvi [55]

Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
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2r = 8.59 yards, or ~9 yards.</span>

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