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3 years ago

Find the equation of the line passing through the point (-6,4) that is perpendicular to the line 5x 3y

Mathematics

2 answers:

skad [1K]3 years ago

4 0

Answer:

y= 1/2x + b

Step-by-step explanation:

elena55 [62]3 years ago

3 0

Answer

y=−3/5x−23/5

given the slope m of a line then the slope of a line

perpendicular to it is

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If you know how to do it, please help me out :)

Artemon [7]

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

$y = \frac{3}{4} x - 5$

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

$6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3}$

therefore L2:

$y = - \frac{4}{3}x + 16 \frac{2}{3}$

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

$6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0$

therefore L3:

$y = \frac{3}{4} x$

8 0

2 years ago

The sum of 5 times the width of a rectangle and twice its length is 26 units. The difference of 15 times the width and three tim

Zinaida [17]

Answer: length = 8 units

Width = 2 units

Step-by-step explanation:

Let the length of the rectangle be represented by L

Let the width of the rectangle be represented by W

The sum of 5 times the width of a rectangle and twice its length is 26 units. This means that

5W + 2L = 26 - - - - - - - - 1

The difference of 15 times the width and three times the length is 6 units. It means that

15W - 3L = 6 - - - - - - - - 2

The system equations are equation 1 and equation 2.

Multiplying equation 1 by 3 and equation 2 by 2, it becomes

15W + 6L = 78

30W - 6L = 12

Adding both equations,

45W = 90

W = 90/45 = 2

15W - 3L = 6

15×2 - 3L = 6

-3L = 6 - 30 = - 24

L = - 24/ -3 = 8

7 0

3 years ago

II NEED THIS ASAP WILL GIVE BRAINLIEST Which number line correctly shows –3 – 1.5? A number line going from negative 4.5 to posi

enyata [817]

Answer:

An arrow that goes from 0 to negative 3 and from negative three to 4.5

Give me brainliest,5stars,and thanks plz!

5 0

3 years ago

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Jacy buys 12 bottles of orange juice at the corner store for a total cost of $8.04. If each bottle costs the same amount , how m

weqwewe [10]

Answer:

$0.67

Step-by-step explanation:

8.04=12x

12. 12

.67=x

6 0

3 years ago

Ginger makes pies and sells them for $14 each. Write an equation that represents the situation, if y represents the money that G

Andrei [34K]

Y = 14x is the equation you should use! Hope this helped.

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3 years ago

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