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Travka [436]
2 years ago
14

Solve for x, please show work!

Mathematics
1 answer:
chubhunter [2.5K]2 years ago
7 0

Answer:

Can you show me the question? Because the picture doesn't have enough datum

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Line ℓ1 has the equation y=x–5 and line ℓ2 has the equation y=x–1. Find the distance between ℓ1 and ℓ2. round your answer to the
Rus_ich [418]

\ell_1 and \ell_2 are parallel to one another with slope 1. Any line with slope -1 is perpendicular to both of these lines, the simplest being y=-x.

This perpendicular line intersects \ell_1 and \ell_2 at the points (5/2, -5/2) and (1/2, -1/2), respectively.

The distance between \ell_1 and \ell_2 is the same as the distance between these two intersections:

\sqrt{\left(\dfrac52-\dfrac12\right)^2+\left(-\dfrac52+\dfrac12\right)^2}=2\sqrt2\approx\boxed{2.8}

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3 years ago
Solve 5x-2+x=-20 ( Adding this to just make the 20 character requirement.)
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69. Suppose that you currently have one credit card with a balance of $10,000 at an annual rate of 24.00% interest. You have sto
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i = 1,8087 %

r = 1.018

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6 0
4 years ago
MAJORRRR HElppp
KATRIN_1 [288]

Answer:

Step 1: Finding r using the formula ln 2/h

1.\ r=\frac{ln\ 2}{h}\\ r=\frac{ln\ 2}{140}\\r=0.00495

Step 2: Substitute the values in given formula

2.\ m_t=m_0e^{-rt}\\200=300e^{-0.00495t}

Step 3: Divide both sides by 300

\frac{2}{3} =e^{-0.00495t}

Step 4:  Take the natural logarithm on both sides

ln\ \frac{2}{3} =ln\ e^{0.00495t}

Step 5: Simplify

-0.405 = -0.00495t

Step 6: Divide both sides by 0.00495

\frac{-0.405}{-0.00495} =t

Step 7: Simplify

t=81.8\ days

4 0
3 years ago
Given vectors a=(-1,-2), b=(-2,3), c=(3,-1), d=(-3,2) find the dot product of b and d.
goldfiish [28.3K]

hope it helps u.........

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