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What is the solution of 3+
X-2
X-3

O x <3
O XS3
Ox>3
0 x23

The Value for x and y as follow:

A) x=2 and y=-8

B) x = -2 and y = 5

C) x = -9/4 and y= -5/2

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Given:

A) 9x- 2y = 34...............(1)

5x+ 2y = -6..............(2)

Adding equation (1) and (2) we get

9x -2y = 34

5x + 2y = -6

_____________

14x = 28

x= 28/14

x= 2

and, 5x +2y= -6

5(2) + 2y= -6

2y = -6 -10

y = -8

B) x+ 6y = 28.....................(3)

2x -3y = -19................(4)

Multiply equation (2) by 2 we get

4x - 6y = -38.......................(5)

Adding equation (3) and (5), we get

x + 6y = 28

4x- 6y = -38

___________

5x = -10

x= -2

and, x+ 6y= 28

-2 +6y= 28

6y= 30

y=5

C) 8x -6y = -3................(6)

6x -5y = -1......................(7)

Multiply equation (6) by 5 and equation by (6), we get

40x - 30 y = -15

36 x - 30y = -6

-       +           +

____________

4x = -9

x= -9/4

and, 8x - 6y = -3

8(-9/4) - 6y = -3

-18 - 6y= -3

-6y = 15

y = -5/2

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Use Pythagorean theorem,   C^2 = A^2 + B^2

Where c is the hypotenuse, and b and a are the sides.

Substitute and solve:

[tex]C^2 = 6^2 + 8^2[/tex]

[tex]C^2 = 36 + 64[/tex]

[tex]C^2 = 100[/tex]

[tex]\sqrt{C^2} = \sqrt{100}[/tex]

[tex]C = 10[/tex]

Answer:

9

Step-by-step explanation:

18/5 ÷ 2/5 = 18/5 x 5/2 = 9

Answer:

$60,000 as down payment and remaining difference for loan is 300,000 - 60,000 = $240,000.

The money you need to save before you will be approved for a loan is $60,000 and the remaining difference that you will need to borrow is $2,40,000

A percentage is a number or ratio that can be expressed as a fraction of 100.

A loan is money, property, or other material goods given to another party in exchange for future repayment of the loan value amount with interest.

Given value of the house is $300,000.

The bank recommends that you have a 20% down payment before it approves a loan i.e. is $300,000× 20% = $60,000

The remaining difference that you will need to borrow is $300,000 - $60,000= $2,40,000

Thus the money you need to save before you will be approved for a loan is $60,000 and the remaining difference that you will need to borrow is $2,40,000

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The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.

Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.

When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.

1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.

2. (x -a)(x +a)  = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.

3.  (x -a)(x³ +x) =  x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms

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4.8

Divide 250 by 2 which is 125 then do 600 divided by 125. Then your answer should be 4.8.

[tex]4r + 14 - r - 6[/tex]

Combine Like Terms:

[tex](4r-r)+(14-6)[/tex]

[tex]=\fbox{3r + 8}[/tex]

The equation of the line that passes through the points (- 6, - 3) and (4, 5) is y = (4 / 5) · x.

In this question we have the knowledge of two points, of which we must derive the equation of a line, whose definition is shown below:

y = m · x + b

Where:

The slope of the line can be determined by secant line formula:

m = Δy / Δx

Where:

First, determine the slope of the line:

m = [5 - (- 3)] / [4 - (- 6)]

m = 8 / 10

m = 4 / 5

Second, determine the intercept of the line:

b = y - m · x

b = 5 - (4 / 5) · 4

b = 5 - 5

b = 0

Third, write the equation of the line:

y = (4 / 5) · x

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10.625 pounds of peanuts mixed with almonds priced $5.35 perpound

Weight is measured in pounds. 16 ounces or 0.453592 kilos make up one pound.

Let's name the weight in pounds of almonds and peanuts that we need x.

We are aware that our ultimate goal is to produce 20 pounds of the mixture, which will sell for $4.50 each pound. The mixture will therefore cost 20 * $4.50, or $90, in total.

Additionally, we are aware that peanuts cost $3.75 per pound and almonds cost $5.35 per pound.

As a result, the price of the almonds we use is 5.35x, while the price of the peanuts we use is 3.75(20 - x) = 75 - 3.75x.

We may create an equation since our goal is to produce a mixture that costs $90 in total:

5.35x + (75 - 3.75x) = 90

When we simplify this equation, we get:

1.6x + 75 = 90

75 is subtracted from both sides to produced

1.6x = 15

By multiplying both sides by 1.6, we get:

x = 9.375

To create a mixture that will sell for $4.50 per pound, we must combine around 9.375 pounds of almonds with (20 - 9.375) = 10.625 pounds of peanuts

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By drawing the line x + y = 2, one of the solution to the given system of equations is (0, 2).

Mathematically, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

From the information provided, we have the following system of equations:

x² + y² = 9             ......equation 1.

x + y = 2              .............equation 2.

Next, we would use an online graphing calculator to plot the given system of equations and then highlight (read) the point of intersection, which is the ordered pair (0, 2).

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Answer: x = 4

Step-by-step explanation:

Based on the given distances and angle measures, DE is congruent to XY, DF is congruent to ZX, and EF and ZY are congruent.

This means that:

[tex](4x-1)=15[/tex]

Simplify and solve for x.

[tex]4x-1=15\\4x=16\\x=4[/tex]

So, x = 4

Answer:

Step-by-step explanation:

Midpoint formula is x3 = (x1+x2)/2, y3=(y1+y2)/2

so x3=(9-5)/2=2, y3=(-5/2-3/2)/2=-2.

the coordinates is (2, -2).

Answer:

10:12:8

Step-by-step explanation:

so, there are 10 animal exhibits, 12 gardening exhibits, and 8 farm equipment exhibits. so it would look like this     10:12:8

Therefore , the solution of the given problem of equation comes out to be x = 11 and y =-9.

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given  :

=> -x-y=-2

=>  5x + 7y= 28

So ,

=>x = 2-y

thus,

=> 5(2-y) + 7y =28

=> 10 -5y + 7y =28

=> 10 -2y = 28

=> -2y = 18

=> y =-9

and

=> x  = 2 - (-9)

=> x  = 11

Therefore , the solution of the given problem of equation comes out to be x = 11 and y =-9.

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Answer:u cheating like a mfka lol

Step-by-step explanation:dwd

Answer: 10

Step-by-step explanation:

The interquartile range is the whole box but not the whiskers, so lowest number to highest number you take these two and subtract thus the answer is 10

20 - 30 = 10

Answer:7 7/8. pounds.

Step-by-step explanation:

Answer:

200 is your answer

Step-by-step explanation:

First, multiply:

8 × 5 × 4 = 160

Then, multiply:

4 × 5 × 2 = 40

Next, add them up.

160 + 40 = 200

Lastly, have a great day!

(1). ΔIJH ≅ ΔKHJ, by SSS criterion,

and (2) we need,  ΔTNS and ΔUHS are right-triangles and S is the mid-point to prove  ΔTNS ≅ ΔUHS, by HL criterion.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

We have the triangle:

ΔIJH ≅ ΔKHJ.

To prove the congruent by SSS:

We have to show that three sides of the triangle are congruent to three sides of  the other triangle.

Here,

IJ ≅ KH.

IH ≅ JH, Given.

And both triangles share the same side JH.

So,

JH ≅ JH

So, ΔIJH ≅ ΔKHJ, by SSS criterion.

ΔTNS ≅ ΔUHS.

To prove the congruent by HL:

We have to show that the triangles are right-triangle and one leg and hypotenuse of the triangle is congruent to one leg and hypotenuse of the other triangle.

So, we need;

ΔTNS and ΔUHS are right-triangles.

S is the mid-point.

So,

SN ≅ SH.

ST ≅ US

So, ΔTNS ≅ ΔUHS, by HL criterion.

Therefore, ΔIJH ≅ ΔKHJ, by SSS criterion and we need;

ΔTNS and ΔUHS are right-triangles and S is the mid-point.

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Answer:

y = -3/4x -1.5

Step-by-step explanation:

-6+3 = -3

3+1 = 4

-3/4

y = -3/4x +b

3 = -3/4(-6) +b

3 = 4.5 +b

b = -1.5

y = -3/4x -1.5

Answer:

y=-4 /3x– -5

Step-by-step explanation:

mrk me brainliest

Answer:

B

Step-by-step explanation:

1) transform mm in cm

12 : 10 = 1,2 cm

2) find the base area

base area = (leg 1 x leg 2)/2 = (1,2 x 4,5)/2 = 2,7 cm^2

did not mean to press answer sorry

Answer:

Slope of the line would be [tex]\frac{4}{5}[/tex]

Hope this helps!

Answer:

C

Step-by-step explanation:

1 pound sand for 1 2/3 pounds gravel.

1 pound gravel for 2/5 pound cement.

3 pounds sand = 3× 1 2/3 = 3 6/3 = 3+2 =

= 5 pounds gravel.

5 pounds gravel = 5 × 2/5 = 2 pounds of cement

Answer:

d7-dx=(20x|x-3|+40)x  x-3 (|x-3+2)x| x-3|

Step-by-step explanation:

Hope this helps :D