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4 years ago

How to write an equation for the line perpendiculer and trhough the given ppoint?

1 answer:

5 0

A method that always works is to find the slope of the given line, then find the negative reciprocal of that. Your result will be the slope of the perpendicular line. Using this slope and the given point, fill in the parameters of the point-slope form of the equation of a line.

For m = slope of given line and (h, k) = given point, the perpendicular line will be
y = (-1/m)(x -h) +k

Often, this equation can be simplified to another appropriate form, such as slope-intercept form (y = mx+b) or standard form (ax+by=c).

_____
The slope of a given line can be found by solving its equation for y. The slope is the coefficient of x in that solution. If the given line is characterized by two points, (x1, y1) and (x2, y2), then its slope is m = (y2-y1)/(x2-x1).

In the unusual case where the given line is vertical (x=<some constant>), the slope of the perpendicular line is zero, and the line you want becomes y=k.

You might be interested in

Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helpin

Evgesh-ka [11]

Answer:

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

3 0

3 years ago

6. The perimeter of the figure below is equal to 150 cm. What is the length of the longest

vampirchik [111]

Answer: 29 centimeters long

Step-by-step explanation: What you want to do in this kind of situation is to combine all like terms. After, you would get 6x + 24 = 150. What you would do here is to get 6x by itself by subtracting 24 on both sides. Now 6x = 126, to isolate the variable you divide 6 on both sides to get x = 21. However, the questions is asking for the longest side and you know that x + 8 will be the greatest out of all. So, x = 21 + 8 equals 29 centimeters. I hope this helps, please give me a brainlest! :)

7 0

2 years ago

Read 2 more answers

A trail mix is made up of peanuts that cost p dollars per pound and dried fruit that costs d dollars per pound. A blend of 1/2 p

Cerrena [4.2K]

P is the cost of a pound of peanuts and F is the cost of a pound of dried fruit
0.5p+0.75f=6.5
0.75p+0.25f=4.5

Rearrange
0.5p=-0.75f+6.5

Simplify
P=-1.25f+13

Substitute
0.75(-1.25f+13)+0.25f=4.5

simplify
-0.9375f+9.75+0.25f=4.5
-0.6875f+9.75=4.5
-0.6875f=-5.25
f=7.636364

Round
F=$7.64 per pound

Plug in
0.75p+0.25(7.64)=4.5

Simplify
0.75p+1.91=4.5
0.75p=2.59
p=3.453333

Round
P=$3.45 per pound of peanuts

Final
P=$3.45 per pound of peanuts
F=$7.64 per pound of dried fruit

4 0

3 years ago

Read 2 more answers

Goran is running for president of the chess club, and he received 24 votes. There are 40 members in the club. What percentage of

Paha777 [63]

Answer:

60%

Step-by-step explanation:

$\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100$

Given:

value = 24 votes
Total value = 40 members

Substituting these into the formula:

$\implies \sf \left(\dfrac{24}{40}\right) \times 100=0.6 \times 100 = 60 \%$

Therefore, 60% of the club members voted for Goran.

5 0

2 years ago

Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Dan

dolphi86 [110]

Answer:

202

Step-by-step explanation:

So it has to end in 2 because 20t+22 will always be a 2.

day1:

17x1+49=66

no 2

day2:

17x2+49=83

odd

day3:

D=100

no 2

day4:

odd

day5:

D=134

no 2

etc

keep adding 17 to D until you get one that ends in 2

D=202

A=202

6 0

3 years ago