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vampirchik [111]
3 years ago
7

Lost as usual yep I am

Mathematics
2 answers:
denpristay [2]3 years ago
8 0

Answer:

  y = -3x -4

Step-by-step explanation:

A perpendicular line has a slope that is the negative reciprocal of that of the given line. When the equation starts out in standard form, a line with negative reciprocal slope can be written by swapping the x- and y-coefficients and negating one of them.

The given x- and y-coefficients have the ratio 1:-3, so we can use the coefficients 3 and 1 for our purpose.

The usual process of making the line go through a given point can be used. That is, we can translate the line from the origin to the desired point by subtracting the point coordinates from x and y. Then we have ...

  3(x+3) +(y-5) = 0

__

This is "an" equation. It is in no particularly recognizable form. It can be rearranged to the form y = mx + b:

  3x +9 +y -5 = 0 . . . . . eliminate parentheses

  y = -3x -4 . . . . . subtract terms that are not "y"

Julli [10]3 years ago
5 0

Answer:

y=-3x-4

Step-by-step explanation:

If you are looking for a line that is perpendicular to the given line, you will need to:

1) Find slope of given line. You could do this by solving for y to put it into slope-intercept form, y=mx+b. m is the slope while b is the y-intercept.

2) Once you found slope of given line you can use it find the slope of line perpendicular to the given line. Perpendicular lines have opposite reciprocal slopes.

3) Then you can use point-slope form since you know a point (x1,y1) and you would have found the slope in 2).

Point-slope form is:

y-y1=m(x-x1)

where m is the slope and (x1,y1) is a point that you know is on the line.

4) The goal is y=mx+b form so you will need to get y by itself and distribute & simplify.

1)

7x-21y=39

Subtract 7x on both sides:

-21y=-7x+39

Divide both sides by -21:

y=(-7x)/(-21)+(39)/(-21)

Simplify fractions:

y=(x/3)-(13/7)

or

y=(1/3)x-(13/7)

The slope is 1/3.

2) The opposite reciprocal of 1/3 is -3/1=-3.

3)

y-5=-3(x--3)

y-5=-3(x+3)

4)

Add 5 on both sides:

y=-3(x+3)+5

Distribute-3 to terms inside the ( ):

y=-3x-9+5

Combine like terms:

y=-3x-4

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3 years ago
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nadya68 [22]

Answer:

108 cm^2

Step-by-step explanation:

rectangle   + 2  triangle = total area

L x W          + 2    *  1/2 base * height   = total area

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frosja888 [35]
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6 0
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A flag pole is 12 ft high in the air. The Distance from the top of the pole to a point on the ground where Janae is standing is
Tema [17]

Janae is standing at a distance of 9 feet from the bottom of pole

<em><u>Solution:</u></em>

The flag pole, and the point where Janae is standing and the ground forms a right angled triangle

The figure is attached below

ABC is a right angled triangle

AB is the height of pole

AB = 12 feet

C is the point where Janae is standing

AC is the distance from the top of the pole to a point on the ground where Janae is standing

AC = 15 feet

BC is the distance between bottom of pole and the point on the ground where Janae is standing

We have to find BC

We can use pythagoras theorem for right angled triangle

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition for right angled angle triangle ABC,

AC^2 = AB^2+BC^2

Substituting the values we get,

15^2=12^2+BC^2\\\\225 = 144 + BC^2\\\\BC^2 = 225-144\\\\BC^2=81\\\\\text{Taking square root on both sides }\\\\BC = 9

Thus she is standing at a distance of 9 feet from the bottom of pole

8 0
3 years ago
Please please please help me with this answer
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8 maple donuts
11 chocolate donuts
19 donuts total, where there are 3 fewer maple donuts than chocolate donuts. (11-3=8).
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