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3 years ago

What is the y-intercept of a line perpendicular to y= 1/2x + 6 that passes through the point (4,-3)

Mathematics

1 answer:

Finger [1]3 years ago

4 0

Answer:

(0,5)

Step-by-step explanation:

Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.

Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.

$y-y_1 = m(x-x_1)\\y--3=-2(x-4)\\y+3=-2(x-4)\\y+3=-2x+8\\y=-2x+5$

The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).

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Last month in the village of 125 people we’re issued a parking ticket. This month only 83 people were issued one. What was the p

natita [175]

Answer:

the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.

Step-by-step explanation:

Given:

Last month in the village of 125 people were issued a parking ticket.

This month only 83 people were issued one.

Now, to find the percent reduction from this month to last month and the number of people who were issued a Parking ticket.

So, the reduction of the number of people who were issued a Parking ticket from this month to last month are:

125 people - 83 people = 42 people.

Thus, 42 people reduction from this month to last month.

Now, to get the percent reduction:

$\frac{42}{125}\times 100.$

$=\frac{4200}{125}$

$=\ 33.6\%$

Therefore, the percent reduction is 33.6% and the number of people who were issued a parking ticket are 42.

7 0

3 years ago

Mr. Fishie bought a tank for $15 and 10 fish which cost $f each. If he gave the cashier two 20-dollar bills, what was his change

Gnesinka [82]

Answer:

$25 - $10f

Step-by-step explanation:

Fishie's name is fishy.

We know Mr. Fishie spent $15 on a tank. His 10 fish cost 10*$f. His total is:

Total =15 + 10*f

His change after 2 $20 would be:

$40 - ($15 - $10f), or

$25 - $10f

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2 years ago

What's the answer ? <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B245%20%2B%2044%7D%20" id="TexFormula1" title=" \sq

-Dominant- [34]

$\huge\mathfrak\pink{Answer...}$

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$\huge\mathfrak\purple{hope \: it \: helps..}$

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3 years ago

Read 2 more answers

a plumber charges an initial fee of $200 plus an hourly fee of $50. Mr.Collins paid the plumber $450. How many hours did the plu

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A carnival charges $5 for admission plus $2 per ride.

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3 years ago