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3 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.

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Find the missing length indicated A) 25 B) 5 C) 8 D) 3

Nonamiya [84]

Given:

The figure of a triangle.

To find:

The missing length.

Solution:

Let x be the missing length.

Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.

Using Basic proportionality theorem, we get

$\dfrac{6}{8-6}=\dfrac{12-x}{x}$

$\dfrac{6}{2}=\dfrac{12-x}{x}$

$3=\dfrac{12-x}{x}$

$3x=12-x$

Adding x on both sides, we get

$3x+x=12$

$4x=12$

$x=\dfrac{12}{4}$

$x=3$

The missing length is 3 Therefore, the correct option is D.

3 0

2 years ago

Wats 200 + 142 Only genius can answer this!!! Lol

attashe74 [19]

Answer:

342

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Jeremy measured the room to be 10 feet long and 4.5 feet wide. He plans to purchase carpet for the entire room. The carpet cost

Andreyy89

Answer:

$205.73

Step-by-step explanation:

First we find the square area,

multiply 10 by 4.5 and we get 45

we convert feet to meters by dividing it by 3.281

45/3.281=13.71533

we the multiply 13.71533 by 15 to get the total price

we get 205.72996 and round it to 205.72

5 0

2 years ago

-8, 1, 10... n What is a formula for the ninth term of the given sequence

krek1111 [17]

9514 1404 393

Answer:

a9 = -8 +9(9 -1)

Step-by-step explanation:

The given sequence has a common difference of 1-(-8) = 10-1 = 9, and a first term of -8. The formula for the n-th term of such an arithmetic sequence is ...

an = a1 +d(n -1) . . . . . first term a1, common difference d

For the parameter of this sequence, a1=-8 and d=9, the n-th term is ...

an = -8 +9(n -1) . . . . formula for the n-th term

Then the formula for the 9th term is ...

a9 = -8 +9(9 -1)

6 0

3 years ago

A package of balloons contains 5 green, 3 yellow, 4 red, and 8 pink balloons. Suppose you reach in the package and choose one ba

yulyashka [42]

Answer:

a pink balloon

Step-by-step explanation:

idrk if im right, but it kinda makes sense bc p=pink and there are more pinks so you are more likely to grab a pink... if m not right sorry lol.

4 0

2 years ago