If 3 + 4 = 7, 4 + 3 = 9, Find the value of (x-y).​

Answers

Answer 1

Given:

Consider the equations are

[tex]3x+4y=7[/tex]

[tex]4x+3y=9[/tex]

To find:

The value of x-y.

Solution:

We have,

[tex]3x+4y=7[/tex]        ...(i)

[tex]4x+3y=9[/tex]        ...(ii)

Subtracting (i) from (ii), we get

[tex]4x+3y-(3x+4y)=9-7[/tex]  

[tex]4x+3y-3x-4y=2[/tex]  

[tex](4x-3x)+(3y-4y)=2[/tex]  

[tex]x-y=2[/tex]

Therefore, the value of x-y is 2.


Related Questions

A, B and D are points on the circumference of a circle, centre O.
BOD is a diameter of the circle.
BC and AC are tangents to the circle.
Angle OCB =34.
Work out the size of angle DOA.

Answers

Answer:

Step-by-step explanation:

A tangent makes a 90° angle to the circle.

∠BOC = 180°-90°-34° = 56°

△AOC is congruent to △BOC, so ∠AOC = 56°

∠DOA = 180°-56°-56° = 68°

The size of the angle DOA is 68°

What is the tangent of the circle?

"It is the line which intersects the circle exactly at one point."

For given example,

BC and AC are tangents to the circle.

∠OCB = 34°

As, OC is the angle bisector for ∠ACB

⇒ ∠OCB = ∠OCA

⇒ ∠OCA = 34°

⇒ ∠ACB = ∠OCB + ∠OCA

⇒ ∠ACB = 34° + 34°

⇒ ∠ACB = 68°

We know, the tangent to a circle is perpendicular to the radius of the circle.

⇒ CB ⊥ OB

⇒ ∠OBC = 90°

and CA ⊥ OA

⇒ ∠OAC = 90°

We know, the sum of all angles of quadrilateral is 360°.

For quadrilateral ACBO,

⇒ ∠OAC + ∠ACB + ∠OBC + ∠BOA = 360°

⇒ 90° + 68° + 90° + ∠BOA = 360°

⇒ ∠BOA = 112°

We know, the angle subtended by semicircle is 180°.

⇒ ∠AOB + ∠DOA = 180°

⇒ 112° + ∠DOA = 180°

⇒ ∠DOA = 68°

Therefore, the size of the angle DOA is 68°

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09 Multiple Choice
Is 3 a solution to this inequality: x<3
yes
no

Answers

Answer:

No because the sign does not have a line under it. The line means equal too

Step-by-step explanation:

Le cross du college s'effectue sur le parcours schématisé
ci-contre en partant du point A et en suivant le sens des
leonas. Les eleves de quatrieme doivent parcourir 1.5 km.
On doit-on placer la ligne d'arrivée sur le circuit?​

( measure : from A to B is 69 m
from B to C is 72m
from D to A is 36m )

Answers

Answer is in the photo. Click on the photo.

mother cute the cloth that measures 23.349 cm. What is the place value of 4 in this number​

Answers

Hundredths place
349/ 1000
34 / 100
3 / 10
3 / 1
20 / 1

Answer:

The place value is Hundrenths.

Step-by-step explanation:

After teh decmal it goes . Tenths,Hundreths,thosands.. and so o n. The 4 is in the Hundreths place.

answer this algebra question x/12 - 5 = 7

Answers

Answer: x=144

Explanation:
7+5= 12
12*12=144

Answer:

x=144

Step-by-step explanation:

x/12-5=7

x-60=84

x=84+60

x=144

A clear box has the shape of a rectangular prism and is filled with sand. Find the volume if the box

Answers

Answer:

24 m³

Step-by-step explanation:

Since you didn't state the dimensions of the rectangular prism, and you didn't add a picture to show it's dimensions, then permit me to assume dimensions for the question

Assuming it's breadth is 2 m.

Assuming it's length is 4 m.

Assuming it's height is 3 m

Then the volume of a rectangular prism is given as l * b * h. Which means we multiply all the sides by one another. From my assumption of values, we have that 2 * 3 * 4, and this gives us 24 m³

24 m

Now what you'd do is substitute your values for my assumed values.. Cheers

URGENT. The cover of a science textbook has a width of (x-2) and a length of (x^2 -5x+4) inches. Find the area of the cover of the science textbook.

Answers

i believe it would be x^3 - 7x^2 - 6x -8

Question 1(Multiple Choice Worth 1 points)
(04.06 LC)

Which of the following points lie in the solution set to the following system of inequalities?

y > −3x + 3
y > x + 2

A.(2, −5)
B.(−2, 5)
C.(2, 5)
D.(−2, −5)

Answers

Answer:

C

Step-by-step explanation:

It’s convenient that there are only two x values you need to check, -2 and 2. Just insert it to see what y is appropriate.

x = -2: y > 6 + 3 = 9 (and y > -2 + 2 = 0 which is redundant here)

x = 2: y > 2 + 2 = 4 (and y > -6 + 3 = -3 which is redundant here)

So, neither B nor D is in the solution set with 5 < 9 and -5 < 9.

A isn’t in the solution set either with -5 < 4.

C is in the solution set with 5 > 4.

Answer:

c

Step-by-step explanation:

I don’t now if u can see it very well but could anyone help me with this

Answers

Answer:

A and c

Step-by-step explanation:

If im correct A and C is the answer because A and C represent the vertical angles :)

it’s a and c they’re right

A periodic wave with wavelength f= 30 Hz has speed v= 150 m/s. What is the wave's wavelength?

Answers

Answer:

The wave's wavelength λ = 5 m

Step-by-step explanation:

Explanation:-

Given that the frequency  f = 30HZ

Given that the velocity

                         'v ' = 150m/s

The wave's wavelength

                    [tex]= \frac{velocity}{frequency} = \frac{150}{30} = 5[/tex]

   

The wave's wavelength λ = 5 m

Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.

He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.

How much money did Ron make selling lemonade after paying out the cost of making the lemonade?

$ ___​

Answers

Answer:

$3.90

The cost of making them all is 1.50 subtracted from the profit he made


Find the length of the missing side (nearest tenth).
15 yd
26 yd

Answers

Answer:

21.23 yard

Step-by-step explanation:

we need to do pyathagoras theoram.

find area of triangle ​

Answers

6x19x1/2= 3x19 = 57 is the answer
The Area of the triangle is 57 cm^2

If a third plane could be drawn which contains both lines a and b, then lines a and b must be parallel. lines a and b cannot be parallel. lines a and b must be skew. lines a and b must be perpendicular.

Answers

Answer:

Yes a third plane can be drawn which contains parallel lines.

Step-by-step explanation:

There are two points:

1) a third plane can cab drawn which can have two line parallel as shown in the figure 1.

2) If plane A has a line and plane B has a line such that they are parallel to each other than the third plane cannot be drawn which contains both lines and b parallel.

A third plane can have only two lines parallel if they are not parallel in the in the other two planes.

We see that lines c and d parallel in the third plane are perpendicular in the planes A an d B.

Answer:

A lines a and b must be parallel.

Step-by-step explanation:

There are 90 girls and 60 boys in the sixth grade at a middle school of the students 9 girls and three boys write left-handed what percent of the 6th graders at this Middle School right left handed

Answers

8538% of the 6th graders in the school are

Z varies jointly with x, and y, and z=7 when x= 2, y= 2
pleasee I need an answer now!!

Answers

Answer:

(7/4)(2)(2)=7

Step-by-step explanation:

Answer:

z = 1.75xy

Step-by-step explanation:

Given z varies jointly as x and y then the equation relating them is

z = kxy ← k is the constant of variation

To find k use the condition z = 7 when x = 2 and y = 2, then

7 = k × 2 × 2 = 4k ( divide both sides by 4 )

1.75 = k

z = 1.75xy ← equation of variation

Which number is NOT in the solution set of the inequality x>-15?
A) 10)
B) -5
C) -10
D) -20​

Answers

Answer:

d

Step-by-step explanation:

if x has to be greater than -15 and -20 = x than its not true because -20 isn't greater than -15

Answer:

yes its d because -15 is not greater than -20

find the area of 4,4,8,2

Answers

Answer:

4x4x8x2 = 256

Step-by-step explanation:

Answer:

its 256

Step-by-step explanation:

4 x 4 x 8 x 2 = 256

I need help solving for X and Y

Answers

Answer:

y = 4 ; x = 4√2

Step-by-step explanation:

This is a 45° 45° 90° triangle meaning the legs will equal each other and the hypotenuse will be equal to the length of the legs times √2.

What is the equation of the circle shown in the graph?

Answers

Answer:

( x + 6)² + ( y – 4)² = 36

Step-by-step explanation:

Edge21

Answer:

( x + 6)² + ( y – 4)² = 36

Step-by-step explanation:

Add.
(79 + 1) + (59 + 2)

Answers

= 80 + 61
= 141
Have a good day

PLEASE HELP ME ASAP ?!?!?
Find the missing side lengths.
Leave your answers as radicals in simplest form.

Answers

Answer:

m = 5 n = [tex]\frac{5\sqrt{3} }{2}[/tex]

Step-by-step explanation:

5/2x2=5

5/3xsqrt3=5sqrt3/2

. Determina el número aproximado
de pasos que da una persona al recorrer
1.5 kilómetros, si la longitud promedio
por paso es de 50 centímetros.​

Answers

Answer:

lo siento, no lo sé

Estoy respondiendo por puntos

Step-by-step explanation:

lo siento por hacerte perder el tiempo

The coordinates of one endpoint of a line segment are (4, −12). The length of the segment is 5 units. Determine four coordinate pairs that could serve as the other endpoint of the given line segment. Enter all four coordinate pairs in the box using a comma to separate each pair. For example: (0, 0), (1, 1), (2, 2), (3, 3)

Answers

Answer:

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).

Step-by-step explanation:

One endpoint of (4,-12), length of 5 units.

Four possible pairs:

Add 5 to x, keep y: (4+5,-12) = (9,-12).

Subtract 5 from x, keep y: (4-5,-12) = (-1,-12).

Keep x, add 5 to y: (4,-12+5) = (4,-7)

Keep x, subtract 5 from y: (4,-12-5) = (4,-17)

Four coordinate pairs that could serve as the other endpoint of the given line segment are given by: (9,-12), (-1,-12), (4,-7), (4,-17).

Find the length of the third side. If necessary, write in simplest radical form. (15 POINTS!!)

Answers

Answer:

4

Step-by-step explanation:

perpendicular (p) = 4

hypotenuse (h) = 2√5

base (b) = ?

We know by using Pythagoras theorem

b = √(h² - p²)

= √ (2√5)² - 4²

= √ 16

= 4

3(x + 4) + 3x = -6 solve x

Answers

Answer:

x = -3

Step-by-step explanation:

3(x + 4) + 3x = -6

3x + 12 + 3x = -6

6x + 12 = -6

6x = -18

x = -3

Answer:

x=-3

Step-by-step explanation:

3x+12+3x=-6

6x+12=-6

    -12  -12

6x=-18

6     6

x=-3

AM GIVIG BRAINLIEST look below find the area of each figre


you must write the formula under each shape/figure

Answers

Answer:

1 rectangle

Step-by-step explanation

Area= lxb

So 7.7 x 11 = 84.7

3 trapezoid

Area =(a+b/2)

Base a=13

Base b = 6

Height = 5

By 2

Answer= 47.5

4 Right angled triangle

Ab/2

Axb

Multiply each legs of the right angle triangle

So 3 1by4 x 4

By 2

Answer: See explanation

Step-by-step explanation:

1. That's a rectangle, the area of a rectangle is l (length) × w (width)

l = 11 cm

w = 7.7 cm

11 × 7.7 = 84.7

Area = 84.7 cm²

2. That is a triangle, the area of a triangle is 1/2 × b (base) × h (height)

b = 12 ft

h = 4ft

1/2 × 12 × 4 = 1/2 × 48 = 24

Area = 24 cm²

3. That is a trapezoid, the area of a trapezoid is [tex]\frac{a (base) + b(base)}{2} h(height)[/tex]

a = 6 cm

b = 13 cm

h = 5cm

((6 + 13) ÷ 2) x 5

(19 ÷ 2) x 5 = 9.5 × 5 = 47.5

Area = 47.5 cm²

4. Same formula: 1/2 × b × h

b = 3 1/4 in

h = 4 in

1/2 × 3 1/4 × 4 = 1/2 × 13/4 × 4

1/2 × 13 = 6.5

Area = 6.5 in²

Hope I helped!

In the equation, 23 + b= 456 the variable is what

Answers

The variable is b and 23 is the constant along with 456
B (which) =433

456-23=433

What is the remainder if f(x) = x^4- 5x2 - 6x - 10 is divided by x - 3?
A. 8
B. 44
C. -46
D. 224

Answers

Answer:

A) 8

Step-by-step explanation:

The remainder when f(x) = x⁴ + 0x³ - 5x² - 6x - 10 is divided by x - 3 is 18.

What is factor theorem?

Factor theorem states that if x - a is a factor of f(x) then f(a) = 0.If f(a) 0 then x - a is not a factor of f(x).

To determine the remainder of f(x) = x⁴ + 0x³ - 5x² - 6x - 10 when divided by x - 3 which is x - 3 = 0 or x = 3 we have to replace the value of x in f(x).

∴ f(x) = x⁴ + 0x³ - 5x² - 6x - 10.

f(3) =  (3)⁴ + 0(3)³ - 5(3)² - 6(3) - 10.

f(3) = 81 + 0 - 45 - 18.

f(3) = 18.

So, the remainder is 18.

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Solve the quadratic equation.
3x^2=81​

Answers

Answer:

3x^2=81

x²=81/3

x=√27=3√3

Step-by-step explanation:

3x²=81

With this we have to square root both sides to find the value of x.

[tex] \sqrt{3 {x}^{2} } = \sqrt{81} [/tex]

So the x will cancel the square root sign so;

[tex]3x = \sqrt{81} [/tex]

And now we have to find the square root of 81 which is 9, because when we multiply 9 by 9 we are going to be get 81 so the square of 9 is 81 and the square root of 81 is 9

So;

[tex]3x = 9[/tex]

And then we divide both sides by 3 to find the value of x ;

[tex] \frac{3x}{3} = \frac{9}{3} [/tex]

[tex]x = \frac{9}{3} [/tex]

[tex]x = 3[/tex]

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