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elixir [45]
3 years ago
7

What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –Two-thirds(x – 6) and pass

es through the point (−2, −2)? y = –Two-thirdsx – Ten-thirds y = –Two-thirdsx + Ten-thirds y = Three-halvesx – 1 y = Three-halvesx + 1
Mathematics
2 answers:
Fudgin [204]3 years ago
7 0

Answer:

y=3/2x +1  ⇒⇒Three-halves *x+1

Fantom [35]3 years ago
6 0

The equation is y = Three-halvesx + 1

Step-by-step explanation:

That line should be perpendicular to the given line : y-4 = -2/3 (x-6) and

It passes through (-2,-2)

Write the equation in slope-intercept form as;

y-4= -2/3 (x-6)

y-4=-2/3x + 4

y= -2/3x + 8

The slope m₁, of the equation is -2/3

For perpendicular lines, m₁*m₂= -1

So,finding m₂ where m₁ = -2/3

-2/3 * m₂ = -1

m₂ = -1 * - 3/2 = 3/2

The equation of the line passing through point (-2,-2) with m₂=3/2 will be;

y--2/x--2 = 3/2

y+2/x+2=3/2

2(y+2)=3(x+2)

2y+4=3x+6

2y=3x+6-4

2y=3x+2

y=3/2x +1  ⇒⇒Three-halves *x+1

Learn More

Equation of perpendicular lines : brainly.com/question/11482954

Keyword : equation, slope-intercept form, perpendicular

#LearnwithBrainly

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Likurg_2 [28]

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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1 year ago
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Anni [7]

Probability ( a flowering plant or fruit plant) is  \frac{13}{30} and Probability (neem plant or peepal plant) is  \frac{29}{60}.

Step-by-step explanation:

Given,

Number of neem plant = 125

Number of peepal plant = 165

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