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3 years ago

Will mark ya brainliest for the right answer!

Mathematics

2 answers:

ehidna [41]3 years ago

4 0

134.78 is the answer

SpyIntel [72]3 years ago

4 0

Your answer is 119.57 for the perimeter

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Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

egoroff_w [7]

Answer:

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

$y = 1 -2x$

Rearrange into slope-intercept form:

$y = -2x+1$

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of $\displaystyle\frac{1}{2}$ . Plug this into $y=mx+b$ :

$y=\displaystyle\frac{1}{2} x+b$

Determine the y-intercept (b):

$y=\displaystyle\frac{1}{2} x+b$

Plug in the given point (1,3) and solve for b:

$3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}$

Therefore, the y-intercept is $\displaystyle \frac{5}{2}$ . Plug this back into $y=\displaystyle\frac{1}{2} x+b$ :

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

I hope this helps!

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2 years ago

A bicyclist travels 32 kilometers for 2 hours and then and 13 kilometers for the next hour. Calculate the average speed.

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Answer:

15 km/h

Step-by-step explanation:

To find the speed, divide the total number of kilometers by the total number of hours:

Find the total number of hours:

32 + 13

= 45

Divide this by 3:

45/3

= 15

So, the average speed was 15 km/h

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