find the value of' m' if (-m 3) is the solution of equation 4x +9y -3=0

Answers

Answer 1
(-m,3) is a solution .Put in equation

[tex]\\ \qquad\quad\sf\longmapsto 4x+9y-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto 4(-m)+9(3)-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m+27-3=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m+24=0[/tex]

[tex]\\ \qquad\quad\sf\longmapsto -4m=-24[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=\dfrac{-24}{-4}[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=6[/tex]


Related Questions

What is the cost of 1.5 kg of apples at $2.98 per kilogram?

Answers

Rate per kg=2.98Rate at 1.5kg

[tex]\\ \rm\Rrightarrow 2.98\times 1.5[/tex]

[tex]\\ \rm\Rrightarrow 2.98\times \dfrac{3}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{8.94}{2}[/tex]

[tex]\\ \rm\Rrightarrow 4.47[/tex]

The product of two whole numbers is 10000. If neither of the numbers contains a digit of 0, then what is their sum?

Answers

Step-by-step explanation:

we should add 9999 add 1

it is the answer of this qp

please help me it's for my homework​

Answers

Answer:

47%

Step-by-step explanation:

.47

Multiply the decimal by 100

47

47%

Hi! I'm happy to help!

To convert a decimal into a percent, you move the decimal two units to the right.

.47

4.7

47.

Since there is nothing else after the decimal we can get rid of it.

47

0.47 is percentage for is 47%

I hope this was helpful, keep learning! :D

Mr slone said that his car was worth $32,000 when it was purchased.however over the last 3 years $6300. What integer represents the average decrease in value per year?

Answers

Hi! I'm happy to help!

To solve this, we need to first find how much the car value decreased.

The car started at $32,000, but dropped down to $6,300. To find the value drop, we use subtraction.

$32,000-$6300

$25,700

Now we know that his car value dropped $25,700 in value over the course of 3 years. Now we need to figure out how much value it dropped per year. To do this, we split the money into 3 years.

$25,700÷3

$8,566.6666666...

We can round this to $8,567

On average, his car lost $8,567 in value, per year. Now, we need to find how much value his car had after one year in order to get our integer. (a fraction of 2 whole numbers)

$32,000-$8,567

$23,433

Now that we know what his can was worth after one year, we can say that his can was worth $23,433 out of the $32,000 originally was worth. Out of can mean division, or fraction, and because these are both whole numbers, and integer. This is our integer:

[tex]\frac{23433}{32000}[/tex]

Since we cannot simplify it, this is our integer that represents the average decrease in value per year.

I hope this was helpful, keep learning! :D

If CP=Rs. 1200 and loss =10%, find loss amount.​

Answers

Answer:

lost 120

Step-by-step explanation:

10% of 1200 is 120 so you subtract 120 from 1200

Answer:

120

Step-by-step explanation:

Loss = (Loss%)(C.P)

Loss = (10%)(1200)

Loss = (10/100)(1200)

Loss = 120

Which answer choice correctly shows 564 written as a Roman numeral? A.DLXIN B.DLXIIII C.DXLIV D.MLXIV​

Answers

Answer:

DLXIV.   I don't see that as any of the answer choices, so maybe you put some of them in wrong.

Step-by-step explanation:

D is 500

LX is 60

IV is 4

I hope this helps!  

pls ❤ and mark brainliest pls!

Write a rule for the nth term of the sequence. Then find a..
3. 4, 20, 100, 500, ...

Answers

Answer:

Rule is 4(5)^(n-1).

a7 = 62500.

Step-by-step explanation:

This is a geometric sequence with a1 = 4 and r = 20/4 = 5.

a7 is 4(5)^(7-1)

= 4 * 5^6

= 62500.

the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.

What is the geometric sequence?

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

Given a sequence  4, 20, 100, 500, ...

From the general formula of the nth term of the geometric sequence:

a(n) = arⁿ⁻¹

where,

a is the first term

r = ratio of two subsequent terms

in our case

a = 4

r = 20/4 = 5

thus, the general form of the given sequence

a(n) = 4 * 5ⁿ⁻¹

To find: a(7)

a(7) = 4 * 5⁶

a(7) = 62500

therefore, the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.

Learn more about geometric sequence here:

https://brainly.com/question/13008517

#SPJ2

y² - 11y + 21.25 = 0

Answers

Answer:

y=17/2 y=5/2

Step-by-step explanation:

...................

Answer:

[tex]y^{2}[/tex]-11y= -21.25

Factorize the expression [tex]y^{2}[/tex]-11y

y(y-11)= -21.25

Eliminate (y-11)by dividing it over (y-11)

[tex]\frac{y (y-11)}{(y-11)}[/tex] = [tex]\frac{-21.25}{(y-11)}[/tex]

Final answer;

y=[tex]\frac{-21.25}{(y-11)}[/tex]

If the divisor is 60, what is the least four-digit dividend that would not have a remainder?

Answers

Answer:

2400

which is not having any remainder as 2400÷60=40

Step-by-step explanation:

If A=( a,b)and B= (2,4,6} find n(A) * n(B)​

Answers

Answer:

n(a) X n( b) = 6

Step-by-step explanation:

n(a)= 2

n(b) = 3

n(a) X n( b) = 2x3

=6,,

If the radius of the closed cone is doubled, show algebraically how this affects the surface
area in comparison to the original cone.

Answers

Answer:

If the radius and height of a cone are doubled, its curved surface area increase four times.

Answer:

If the radius and height of a cone are doubled, its curved surface area increase four times

It cost $13.40 for 4.5 pounds of chicken.
How much did it cost per pound? Round
your answer to the nearest cent. Please help

Answers

Answer:

2.98c (c= one pound of chicken)

Step-by-step explanation:

2.98 since you divide 13.40/4.5 and it gives you 2.97 but when you round it, it gives you 2.98 I hope this helps!

1;1;2;3;5;8;14;21;34 identify and explain the error in the following pattern

Answers

Answer:

5+8=14

Step-by-step explanation:

5+8 is 13 not 14

That is true and 14+21 doesn’t equal 34 it equals 55

Alicia has 8 more dollars than Fred. Altogether, Alicia and Fred have 26. dollars. Let "f" represent the amount of money, in dollars, that Fred has. Use "f" to write an expression that represents the amount of money that Fred has.

Use “f” to write an expression that represents the amount of money that Alicia has.


Write de equation to represent the problem situation


Solve your equitation showing each step of the solution


Based on your solution to your equation, state how much money Fred has

Based on your solution to your equation, state how much money Alicia has

Answers

Answer:

Fred has = 9 $

Alicia has = 9 + 8 =17 $

Step-by-step explanation:

Let, Fred has = f $

Then, Alicia has = f + 8 $ ;[as Alicia has 8 more dollars than fred]

Now, the required expression is

∴[tex]f+(f+8)=26\\=>2f+8=26\\=>2f=18\\f=9[/tex]

So, Fred has = 9 $

Alicia has = 9 + 8 =17 $

Hope you have understood this.....    

ask me if you have any confusion.....    

if you liked it pls mark it as the brainliest

The highest and lowest temperatures of Town X were 4°C and -18°C respectively. Find the difference between these two temperatures. (b) The lowest temperature recorded in Town Y was 12°C higher than -18°C. Find the lowest temperature recorded in Town Y. ​

Answers

Answer:

Difference: 4-(-18)=22

                             =22 degrees celcius

Lowest temperature: 12 degrees higher that -18 degrees

                                  = 12+(-18)

                                  = -6 degrees celcius.

Step-by-step explanation:

In the expression, 9x3 + 4x2 + 7x + 6, what is the constant?
6
ооо
O4

Answers

Answer:

6

Step-by-step explanation:

The constant is the number that is on its own, the number that has no variable.

The only number that has no variable is 6 therefore the constant is 6.

Note: the variable is usually expressed as a letter, ex. in 9x the variable is "x"

Answer:

The constant term is [tex]6[/tex].

Step-by-step explanation:

Given that,

An expression,[tex]9x^3 + 4x^2 + 7x + 6[/tex].

To find,

The constant term.

Solution,

We have,

An expression, [tex]9x^3 + 4x^2 + 7x + 6[/tex]

The term that doesn't have any variable is the constant term of an expression.

The coefficient of [tex]x^3[/tex] is 9.

The coefficient of [tex]x^2[/tex] is 4.

The coefficient of [tex]x[/tex] is 7.

The constant term is 6 as it doesn't contain any variable.

Hence, the constant term is [tex]6[/tex].

Reference,

https://brainly.com/question/18775522

What is the slope of any line that is perpendicular to y=1- x?

Answers

Answer:

y = x + 1

Step-by-step explanation:

y = -x + 1

y = x + 1

Please help me with this quickly

Answers

Answer:

A. mB = 40°

Step-by-step explanation:

In geometry, congruent figures are identical in form, coinciding exactly when superimposed.

From the diagram,

<CAB = 80°; <EFG = 40° and <FGE = 60°

From triangle ️ EFG,

<GEF + <EFG + <FGE = 180°

》<GEF = 180° - (<EFG + <FGE)

<GEF = 180° - (40° + 60°)

<GEF = 180° - 100°

<GEF = 80°

》<GEF = <CAB = 80°

Also,

》<ACB = <EGF = 60°

<ABC = <EFG = 40°

NB. <ABC = mB

[tex]9/16=3/4t[/tex]9/16=3/4t

Answers

Answer:

4/3

Step-by-step explanation:

9÷16=3÷4t

cross multiply

36t=48

divide both sides by 36

t=48÷36

t=4÷3

If I start at 6:05 and end at 8:30. How much time is that.

Isn’t is 2 hours and 25 minutes or 2 hours and 35 minutes?

Answers

Answer:

Isn’t is 2 hours and 25 minutes

Step-by-step explanation:

[tex]8:30 - 6:05 = 2:25[/tex]

I hope I helped you^_^

2 hours and 25 minutes

Please help.Please show the formula,thanks.

Answers

Answer:

DE=6.3

Step-by-step explanation:

triangles are similar so, its sides and angles are comgruent.

side BC=side DE

side BC=6.3

side DE=6.3

Note:if you need to ask any question please let me know.

What is greatest common factor of 54ab and 54ab to the power of 2

Answers

Answer:

54ab

Step-by-step explanation:

the only two factors of 54ab^2 and 54ab is 1 and 54ab and the greatest of that would be 54ab.

HELPPPPP PLSS- What is the area of this figure? 9 yd 5 yd 7 yd 3 yd 2 yd 6 yd square yards​

Answers

Answer:

99

Step-by-step explanation:

9x5 + 7X6 + 3X4 + 2X6

Identify the greatest common factor of 25w⁵+5w⁴+15w³​

Answers

Answer:

5w³

Step-by-step explanation:

To solve this, we can list the factors of each number and see which are common

25w⁵: separate this into 25 and w⁵ as one is a variable and one is not, so this will enable easier factorization. It is perfectly fine to separate these as these are multiplied by each other. For example, 5 is a factor of 25 but not of w⁵, but we can still factor 5 from 25w⁵ to get 5 (5w⁵)

factors of 25:

1, 5, 25

factors of w⁵:

1, w, w², w³, w⁴, w⁵

We know the factors of w⁵ because anything multiplied by 1 is equal to itself, w * w⁴ = w⁵, and w²*w³ = w⁵ due to exponent rules

Next,

factors of 5:

1, 5

factors of w⁴:

1, w, w², w³, w⁴

Finally,

factors of 15:

1, 3, 5, 15

factors of w³:

1, w, w², w³

For the constants, the greatest common factor is 5, and for the variables, the greatest common factor is w³

Because each value has both a constant and variable, we can use these two numbers to factor this out as

5w³(5w²+w + 3)

true or false? in a two-column proof, the left column states your reasiong

Answers

False. The left column is for your statements , the right column is for your reasoning.

Which of the following is not true about the number given below?

-6.7

a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.


PLEASE HELP ME!

Answers

Answer:

b. The opposite of the number is negative

Step-by-step explanation:

the opposite of -6.7 would be 6.7 not a negative

The length of a rectangle is twice the width. The perimeter is 30 cm. What is the width of the rectangle?
O A. 3.75 cm
B. 5 cm
C. 7.5 cm
OD. 10 cm
E. 15 cm

Answers

Answer:

B. 5 cm

Step-by-step explanation:

If the width was 5 cm, the length would be 10 cm.  (5 + 10) x 2 = 30 cm.

Please help its line segment

Answers

Answer:

-9 3/4

Step-by-step explanation:

FG = GH

9x+15 = 5x+4

Subtract 5x from each side

9x+15-5x = 5x+4-5x

4x+15 = 4

Subtract 15 from each side

4x+15-15 = 4-15

4x = -11

Divide by 4

4x/4 = -11/4

x = -11/4

FG = 9x+15

FG = 9*(-11/4) +15

  = -99/4+15

    -99/4 + 60/4

   = -39/4

  = -9 3/4

In 5 years Chim will be three times as old as Jared. The sum of their ages is 42. How old are Chim and Jared.

Answers

Answer:

Chim is 34 years old, and Jared is 8 years old.

Step-by-step explanation:

Let c be Chim's age and j be Jared's age.

Chim's age after five years (c + 5)

is 3 times Jared's age after five years (3 * (j+5) )

#1: c + 5 = 3(j+5)

We can add Chim's age and Jared's age to get 42 (the "sum"):

#2: c + j = 42

This is a system of equations that we can solve through substitution:

c + 5 = 3(j+5)

c + j = 42

In Equation #2, we can subtract j from both sides:

c = 42 - j

Then replace c with 42 - j in the first equation

(42 - j) + 5 = 3(j+5)

47 - j = 3j + 15

32 = 4j

j = 32/4 = 8

Plug j = 8 into the second equation, then solve for c.

c + 8 = 42

c = 42 - 8 = 34

c = 34, j = 8

Check our work by plugging in c = 34 and j = 8 into the first equation:

34 + 5 = 3(8+5)

39 = 3*13

39 = 39

Plug c and j into the second equation:

34 + 8 = 42

42 = 42

Chim is 34 years old, Jared is 8 years old.

chim is 34 jared is 8

Point C is on line segment BD
. Given BD=5x,BC=4x, and CD=4, determine the numerical length of BD.

Answers

Answer:

BD measures 20 units.

Step-by-step explanation:

We are given that Point C is on the line segment BD, where:

[tex]BD = 5x, BC = 4x \text{ and } CD = 4[/tex]

And we want to determine the numerical length of BD.

Since C is somewhere on BD, BD is the sum of BC and CD:

[tex]\displaystyle BD = BC + CD[/tex]

Substitute:

[tex](5x) = (4x) + (4)[/tex]

Solve for x. Subtract:

[tex]x = 4[/tex]

Hence, the value of x is 4.

BD is given by 5x. Therefore:

[tex]BD = 5(4) = 20\text{ units}[/tex]

In conclusion, BD measures 20 units.

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