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Mathematics

1 answer:

hodyreva [135]2 years ago

5 0

Answer:

people went to Bonnaroo

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find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

7 0

2 years ago

Are 4(5+x) and (5+4)+x equal

SSSSS [86.1K]

Answer:

No, they are not equal

Step-by-step explanation:

If x = 1

4(5+x) = 4(5+1) = 4 x 6 = 24

(5+4) + x = 9 +1 = 10

24 $\neq$ 10

3 0

2 years ago

Natsumi went on a business lunch. The pretax bill was $55.60. She decided

igomit [66]

8.25% of 55.60 = 4.58700

We round that number to 4.59

(I am assuming the tip is based on the amount of the pretax bill.)

15% of 55.60 = 8.34

So $55.60 + $4.59 + 8.34 = $68.53

The bill would be $68.53.

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3 years ago

Please help me thank you. 16 points and show all work.

Solnce55 [7]

magnitude = sqrt(6^2+4^2)

= sqrt ( 36+16)

=sqrt (52) = 7.2

angle = tan^-1(6/4) = 56 degrees

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2 years ago

According to the graph, the first coordinate of which point is a negative number

kolbaska11 [484]

Answer:

Coordinate D. Because D lies on the 2nd quadrant, meaning that x has a negative value whereas y is positive.

3 0

2 years ago

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