If the lines 5x + 3my – 2 = 0 and 3x + 7y + 1 = 0 are parallel, then what is the value of m?

(a)9/35

(b)35/9

(c)9/5

(d)5/9

Please give full explanation!!!
ASAP!!​

Answers

Answer 1

Answer:

35/9

Step-by-step explanation:

7y=-3x-1

y=-3/7x-1/7

m=-3/7

Now,

3my=-5x+2

y=-5/3mx+2/3

So

-3/7=-5/3m

-9m=-35

m=35/9

Answer 2

Answer:

35/9

Step-by-step explanation:

What we need to know:

Parallel lines have the same slope

slope intercept form: y = mx + b

m = slope

The first thing we will want to do is put both equations in slope intercept form.

We must do this so we can identify the slope.

First equation:

3x + 7y + 1 = 0

Solve for y

Subtract 1 from both sides

3x + 7y + 1 - 1 = 0 - 1.

3x + 7y = -1

Subtract 3x from both sides

3x - 3x + 7y = -1 - 3x

7y = -3x - 1

Divide both sides by 7

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

y = -3/7x - 1/7

So the equation of the first line is y = -3/7x - 1/7

Second equation:

5x + 3my – 2 = 0

Solve for y

Subtract 5x from both sides

5x - 5x + 3my - 2 = 0 - 5x

3my - 2 = -5x

Add 2 to both sides

3my - 2 + 2 = -5x + 2

3my = -5x + 2

Divide both sides by 3m

3my/3m = (-5x + 2)/3m

y = -5x/3m + 2/3m

So the equation of the second line is y = -5x/3m + 2/3m

So we have the two equations:

y = -3/7x - 1/7 and y = -5x/3m + 2/3m and we want to find the value of m if the two lines are parallel

Lines that are parallel have similar slopes

So the slope of the first equation should be the same as the slope of the second equation

The slope of y = -3/7x - 1/7 is -3/7 as it takes the spot of "m" in y = mx + b.

The slope of y = -5x/3m + 2/3m is -5/3m as it takes the spot of "m"

If the slopes of parallel lines must be similar than -3/7 = -5/3m

(Note that we've just created an equation that we can use to solve for m)

We now solve for m

-3/7 = -5/3m

Cross multiply

3*-3m = -9m

7*-5=-35

we acquire -35 = -9m

Divide both sides by -9

-35/-9 = 35/9

-9m/-9=

We're left with m = 35/9

So we can conclude that the value of m would be 35/9 if the two lines are parallel


Related Questions

if 21 and 35 are two members of a pythagorean triple, what is the third member?

Answers

Answer:

28

Step-by-step explanation:

21^2+28^2=35^2

The third number of the Pythagorean triplet as c = 40.82.

What is Pythagorean triplet? What is a mathematical function, equation and expression?                Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that 21 and 35 are two members of a Pythagorean triplet.

We can write the Pythagorean triplet as -

a² + b² = c²

c² = a² + b²

c² = (21 x 21) + (35 x 35)

c² = 441 + 1225

c² = 1666

c = √1666

c = 40.82

Therefore, the third number of the Pythagorean triplet as c = 40.82.

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Answers

Step-by-step explanation:

substitute the value of y

3x+2x+3=-2 (collect like term)

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i hop it helps you❤

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Answers

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5

Step-by-step explanation:

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Answers

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Answers

Answer:

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Answers

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to find the number, multiply 1200 by 60%, or 0.60, and you get 720 boys.

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Step-by-step explanation:

Hope it will help you...

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Answers

Answer:

m1.m2 = -1

Step-by-step explanation:

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Answers

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y=-2x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

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m=-6/3

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Answers

Answer:

Step-by-step explanation:

The perimeter = side1 + side2 + side3

P = 29

side1 = 9

side2 = 9

29 = 9 + 9 + side3

29 = 18 + side3           Subtract 18 from both sides

11 = side 3

Answer:

hb≈7.12in

a Side

9

in

c Side

9

in

P Perimeter

29

in

γ

c

a

h

b

b

h

b

h

b

c

γ

a

b

a

c

b

γ

P

c

γ

a

b

A

Using the formulas

A=hbb

2

A=s(s﹣a)(s﹣b)(s﹣c)

P=a+b+c

s=a+b+c

2

Solving forhb

hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2

2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

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Answers

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-TheUnknownScientist 72

Hey there!

p(p^2 + p + 1)

= -1(-1^2 + (-1) + 1)

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= -1(-1^2) - 1(-2) - 1(1)

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Therefore, your answer should be: 2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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Answers

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Answers

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Step-by-step explanation:

Given that

ax - ay = cx + by

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ax - cx = by + ay

Factorize both sides

ax - cx = by + ay

x(a - c) = by + ay

Divide both sides by (a - c)

x(a - c) = by + ay

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Answers

Answer:

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Answers

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Step-by-step explanation:

because i did this back in 8th grade

Alan draws the two triangles below.



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A
show that all pairs of corresponding sides are congruent

B
show that the triangles are congruent, as all congruent triangles are similar

C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle

D
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Answers

Answer:

A & D

Step-by-step explanation:

Both use SSS to prove triangles congruent.

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What is Congruent triangle?

Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.

"If and only if the following two conditions are met, two triangles are congruent.

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The measurements of the three related angles are all equal."

given instance,

Think about the triangles PQR and ABC.

If A = P, B = Q, and C = R

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As a result, the following are true statements concerning congruent triangles:

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