Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6

Answers

Answer 1

Answer:

x = 7.535 and y = 0.307

Step-by-step explanation:

Given that,

Two equations,

2x + 3y = 8 ...(1)

x – 5y = 6....(2)

Multiply equation (2) by -2.

-2x + 10y = -12....(3)

Now, adding equations (1) and (2),

2x + 3y -2x + 10y = 8-12

13y = 4

y = 0.307

Put the value of y in equation (2).

x – 5(0.307) = 6

x = 6 + 1.535

x = 7.535

So, the solutions of the given equation are x = 7.535 and y = 0.307.


Related Questions

Evaluate the expression 3(5 + 2)(7 - 2) using order of operations.

Answers

The answer is 36. Do the parentheses first and then multiply by 3

Answer:

105

Step-by-step explanation:

The order of operations is written as PEMDAS. These letters stand for:

-Parentheses

-Exponents

-Multiplication

-Division

-Addition

-Subtraction

We follow these steps in order to solve expressions efficiently. Now, we are going to use PEMDAS to evaluate the expression 3(5+2)(7-2) step by step.

3(7)(5)  The first step is to simplify the numbers in the parentheses.

There are no exponents, so we skip to the next step, multiplication.

(3*7)(5)

21(5)

105

PEMDAS is no longer needed because 105 has come out to be our answer.

I hope this helps you out! Have an an awesome day :3

for each relation, decide whether or not it is a function

Answers

Answer:

Relation 1,2,and 4 are functions, but relation 3 not is a function.

Step-by-step explanation:

function 1 input, no function with the same input like m in relation 3.

- CA Geometry A Illuminate Credit 4 FF.pdf

Answers

Answer:

hii

Step-by-step explanation:

N is the centriod of triangle. Find XN if XG = 33​

Answers

Answer:

22

Step-by-step explanation:

The centroid divides a median in two parts that have this ratio = 1/3 and 2/3

In particular the part between the vertex and the centroid is 2/3 of the median.

So we have:

XN = (33 * 2)/3 = 22

Show Workings.
Question is in attached image.​

Answers

Answer:

A.]A chord of a circle of diameter 40 cm subtends an angle of 70° at the centre of the circle.

Solution given;

diameter [d]=40cm

centre angle [C]=70°

(a) Find the perpendicular distance be tween the chord and the centre of the circle.

Answer:

we have

the perpendicular distance be tween the chord and the centre of the circle=[P]let

we have

P=d Sin (C/2)

=40*sin (70/2)

=22.9cm

the perpendicular distance be tween the chord and the centre of the circle is 22.9cm.

(b) Using = 3.142, find the length of the minor arc.

Solution given;

minor arc=[tex]\frac{70}{360}*πd=\frac{7}{36}*3.142*40[/tex]

=24.44cm

the length of the minor arc. is 24.44cm.

B.]In the diagram, XZ is a diameter of the cir cle XYZW, with centre O and radius 15/2 cm.

If XY = 12 cm, find the area of triangle XYZ.

Solution given:

XY=12cm

XO=15/2cm

XZ=2*15/2=15cm

Now

In right angled triangle XOY [inscribed angle on a diameter is 90°]

By using Pythagoras law

h²=p²+b²

XZ²=XY²+YZ²

15²=12²+YZ²

YZ²=15²-12²

YZ=[tex]\sqrt{81}=9cm[/tex]

:.

base=9cm

perpendicular=12cm

Now

Area of triangle XYZ=½*perpendicular*base

=½*12*9=54cm²

the area of triangle XYZ is 54cm².

Answer:

Question 1

a)

d = 40 cm ⇒ r = 20 cm

Let the perpendicular distance is x.

Connecting the center with  the chord we obtain a right triangle with hypotenuse of r and leg x with adjacent angle of 70/2 = 35°.

From the given we get:

x/20 = cos 35°x = 20 cos 35°x = 16.383 cm (rounded)

b)

The minor arc is 70° and r = 20

The length of the arc is:

s = 2πr*70/360° = 2*3.142*20*7/36 = 24.437 cm (rounded)Question 2

Since XZ is diameter, the opposite angle is the right angle, so the triangle XYZ is a right triangle.

r = 15/2 cm ⇒ XZ = d = 2r = 2*15/2 = 15 cm

Find the missing side, using Pythagorean:

[tex]YZ = \sqrt{XZ^2 - XY^2} = \sqrt{15^2-12^2} = \sqrt{81} = 9[/tex]

The area of the triangle:

A = 1/2*XY*YZ = 1/2*12*9 = 54 cm²

Determine the period

Answers

Answer:

3 units

Step-by-step explanation:

The period of a wave is the time taken to complete a cycle of motion of the wave

In the given figure, the graduations of the x-axis, which is the usually time axis = 1 unit

At the origin, (0, 0), the vertical displacement of the wave = 0

The maximum value of the wave function is between x = 0 and x = 1

The minimum value of the wave function is between x = 2 and x = 3

At the point (3, 0) the value of the wave function is again 0, and a cycle of the wave is completed

Therefore, the period of the wave = 3 units of the x-variable

which statement must be true about line TU?

Answers

line tu is parallel to rs

Answer:

line TU has no slope in the diagram above

which of the following equations are perpendicular

Answers

I think it’s the third one but I’m not %100 sure

James' truck uses 8 gallons of gas per day. He filled his tank up with 36 gallons of gas. How many days will James be able to drive using 36 gallons of gas?

Answers

Answer:

4.5

Step-by-step explanation:

36 ÷ 8 = 4.5

James will be able  to drive for 4.5 days.

Mark me as brainliest please

James will be able to drive [tex]=4\frac{1}{2}[/tex] days.

What is arithmetic maths ?

Arithmetic is the fundamental of mathematics that includes the operations of numbers like addition, subtraction, multiplication and division.

We have,

James' truck uses gas per day [tex]=8[/tex] gallons

Tank has gas [tex]=36[/tex] gallons

Now,

According to the question,

Number of days James will drive [tex]= \frac{Total\ gas}{Gas\ used\ per\ day}[/tex]

                                                        [tex]=\frac{36}{8}[/tex]

Number of days James will drive[tex]=4\frac{1}{2}[/tex] days

Hence, we can say that James will be able to drive [tex]=4\frac{1}{2}[/tex] days.

To know more about arithmetic maths click here

https://brainly.com/question/12194146

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Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.


8.897


8.8966


8.9


9


8.90

Answers

Answer:

8.9

Step-by-step explanation:

they said to the sig. figure so since it's 8.8966, so the answer will be 8.9

The answer to the correct number of significant figures is 8.897, the correct option is A.

What are Significant Figures?

Significant figures is a positional notation, these are the digits that are required to understand the quantity of something.

The expression is

⇒(1.705 + 0.5067) / (0.2 * 1.243)

=2.2117/0.2486

=8.89662

≈ 8.897

To know more about Significant figures

https://brainly.com/question/14359464

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Thank you so much for your help

Answers

Answer:

1.1x

Step-by-step explanation:

that is the procedure above

what is 8/9 divide 2/3?

Answers

Answer:

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Simplify the complex fraction.

4/3

Step-by-step explanation:

8/9 ÷ 2/3

Simplify

4/3 is the correct answer

Explain why y +1 = 1.2(x + 2) and y- 5 = 1.2(x – 3) represent the same line, despite having
different equations.

Answers

Answer:

They have the same slope

Step-by-step explanation:

The standard equation of a line in point-slope form is expressed as;

y-y0 = m(x-x0)

We can see that both equations given are written in this form with a slope of 1.2. For two lines to be equal, they must have the same slope no matter the point on the lines. Hence the two equations are equal since they have different slopes.

Choose the one that is FALSE. *
A. 1/4 = 2/8
B. 3/4 = 10/12
C. 5/10 = 1/2
D. 10/12 = 5/6

Answers

Answer:

B. 3/4 = 10/12

Step-by-step explanation:

A. 1/4*2/2  = 2/8

B. 3/4*3/3 = 9/12  not10/12

C. 5/10*5/5 = 1/2

D. 10/12 divided by 2/2 = 5/6

Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?

Answers

Answer:

Step-by-step explanation:

Select the correct answer.
What is the value of x in the triangle?

Answers

Answer:

The answer is A. 21

Hope it helps.

Step-by-step explanation:

• • •

Which of the following is true of the discriminant for the graph below?

Answers

Considering that the quadratic equation has no solutions, the discriminant is classified as:

C. Negative.

What is the discriminant of a quadratic equation and how does it influence the solutions?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The discriminant is:

[tex]\Delta = b^2 - 4ac[/tex]

The solutions are as follows:

If [tex]\mathbf{\Delta > 0}[/tex], it has 2 real solutions.If [tex]\mathbf{\Delta = 0}[/tex], it has 1 real solutions.If [tex]\mathbf{\Delta < 0}[/tex], it has 2 complex solutions.

Looking at the graph, the equation has no solutions, hence [tex]\Delta < 0[/tex] and option C is correct.

More can be learned about the discriminant of a quadratic equation at https://brainly.com/question/19776811

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What is the period 3 pi and 4 pi

Answers

Answer:

i think i know the answer sorry if im wrong but i would say B

Step-by-step explanation:

convert 4 seconds to hour​

Answers

Answer:

0.00111111 hrs

Step-by-step explanation:

Have a nice day

Answer:

4/3600 = .001111 hr

Step-by-step explanation:

4 seconds * 1 hour            *    1 minute            =    4/3600 = .001111 hr

                    60 minutes          60 seconds

Please need help explanation need it

Answers

Answer:

308 m^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l is the length , w is the width and h is the height

V = 7*4*11

V = 308 m^3

Ashish deposite rs 1000 every month is a recurring deposit account for period of 12 months. If the bank pays interest at a certain rate p.A. And ashish gets 12715 as the maturity value of this account at what rate of interest did he pay every month

Answers

Solution :

Given :

Principal amount, P = Rs. 1000

Time period = 12 months

The maturity value = Rs. 12,715

We know that,

[tex]$ SI = \frac{PTR}{100}$[/tex]

[tex]$SI = 1000 \times \frac{n(n+1)}{2 \times 12} \times \frac{R}{100}$[/tex]

[tex]$SI = 1000 \times \frac{12(12+1)}{2 \times 12} \times \frac{R}{100}$[/tex]

SI = 65 R

So we know,

maturity value = principal amount + SI

12715 = 1000 + 65 R

65 R = 12715 - 1000

65 R = 11715

R = 18%        

So the rate is 18%

                           

Answer:

[tex]R=11\%[/tex] p.a.

Step-by-step explanation:

Given:

the principal amount deposited each month, [tex]P=Rs. 1000[/tex]

amount after maturity of one year, [tex]A=Rs. 12715[/tex]

We have the formula as:

[tex]I=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]

where:

R = rate of interest per annum

T = time in months

[tex]A-12P=\frac{PR}{100}\times\frac{T(T+1)}{2\times 12}[/tex]    [since the principal is deposited each month]

[tex]715=\frac{1000\times R}{100}\times \frac{12\times 13}{24}[/tex]

[tex]R=11\%[/tex] p.a.

the hypotenuse of a right angled triangular field is 50ft and the legs are in the ratio 7:24, find the area of the right angled triangular field triangular field also find the cost of paving the field with brick at the rate of rs.20per square ft

Answers

Answer:

Step-by-step explanation:

If one leg is 7x than other leg is 24x

Using Pythagoras

50² = (7x)² + (24x)²

2500 = 49x² + 576x²

2500 = 625x²

x² = 2500/625 = 4

x = +2 or -2 ; x is positive

Means 7 x = 14 and 24x = 48

The two sides are 14cm and 48cm

Test: 14² + 48² = 196 + 2304 = 2500= 50²

If a 750 ml bottle of juice costs £1.90 and a 1 litre bottle of the same juice costs £2.50 then the 750 ml bottle is better value.

Answers

Answer:

The 1 liter bottle is better value

Step-by-step explanation:

Cost of 750 ml = £1.90

Cost of 1 liter = £2.50

1000 ml = 1 liter

Cost per 250 ml

750 ml / 3 = £1.90 / 3

250 ml = £0.6333333333333

Approximately,

£ 0.633

Cost per 250 ml

1 liter / 4 = £2.50 / 4

250 ml = £0.625

The 750 ml bottle is not a better value

The 1 liter bottle is better value

What is the solution to this equation?
7x - 2(x - 10) = 40
O A. x = 4
O B. x = 12
O C. x = 6
D. X = 10

Answers

Answer:

A. x = 4

Step-by-step explanation:

[tex]7x-2(x-10)=40\\7x-2x+20=40\\5x+20=40\\5x=20\\x=4[/tex]

Solve. -7x+1-10x^2=0

Answers

Answer:

[tex]-7x+1-10x^2=0[/tex]

[tex]-10x^2-7x+1=0[/tex]

[tex]quadratic\:equation:-[/tex] [tex]ax^2+bx+c=0[/tex]

[tex]solutions:-\\\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]For \\A=-10\\B=-7\\C=1[/tex]

[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}}{2\left(-10\right)}[/tex]

[tex]\sqrt{\left(-7\right)^2-4\left(-10\right)\cdot \:1}=\sqrt{89}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-7\right)\pm \sqrt{89}}{2\left(-10\right)}[/tex]

[tex]x_1=\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)},\:x_2=\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}[/tex]

[tex]\frac{-\left(-7\right)+\sqrt{89}}{2\left(-10\right)}=-\frac{7+\sqrt{89}}{20}[/tex]

[tex]\frac{-\left(-7\right)-\sqrt{89}}{2\left(-10\right)}=\frac{\sqrt{89}-7}{20}[/tex]

[tex]x=\frac{\sqrt{89}-7}{20}[/tex]

OAmalOHopeO

What is the recursive formula for this geometric sequence?
-4, -24, -144, -864, ...
= -4
O A.
an =
2n-1 • 30
OB.
la = -4
ar = 2n-16
fa
= -6
C.
= 2n-1 • 30
= -6
O D.
lan
ar = 2n-1.4

Answers

Answer:

a1 = -4

an = an-1 * 6

Step-by-step explanation:

-4, -24, -144, -864, ...

First find the common ratio

Take the second term and divide by the first term

-24/-4 = 6

The common ratio is 6

The recursive formula is

a1 = -4

an = an-1 * 6

Can I know the answer for the above questions

Answers

Answer:

Step-by-step explanation:

True or False?
k = 3 over 4 is a solution to the inequality 12k + 2 < 12.
True
False

Answers

Answer:

False.

Step-by-step explanation:

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

We know that k is 3/4. We can plug in 3/4 into k. 12(3/4) + 2 < 12. This gives us 36/48. 36/48 simplified is 3/4. Our equation is currently 3/4 + 2 < 12. We need common denominators to add 3/4 and 2. 2 with a denominator of 4 is is 8/4. 3/4 + 8/4 is 11/4. 11/4 < 12. 11/4 as a mixed number is 2 3/4. 2 3/4 as a decimal is 2.75. 2.75 < 12. 2.75 is less than 12. This is true.

Let f(x) = 2x - 7 and g(x) = -6x - 3. Find f(x) + g(x) and state its domain.
HELP PLSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!


A : 12x2 - 48x + 21; all real numbers
B: -14x2 + 36x - 18; all real numbers except x = 7
C: 12x2 - 48x + 21; all real numbers except x = 1
D: -14x2 + 36x - 18; all real numbers

Answers

Answer:

Step-by-step explanation:

f(x) + g(x) = 2x -  7 - 6x - 3

f(x) + g(x) = -4x - 10

The domain is any real number.

I think you have mixed up the question. None of the choices are correct. They look like they belong to another choice.

It could be f(x)*g(x)

(2x - 7) (-6x - 3)

-12x^2 - 42x - 6x + 32

-12x^2 - 48x + 21

Well it could be either A or C since they are identical.

What is the measure of ∠
A. 6°

B. 42°

C. 60°

D. 49°

Answers

Answer:

<XYZ is equal to 49°

Step-by-step explanation:

Set the two expressions equal to each other so 7x+7=5x+19. Subtract 5x from 7x and 7 from 19 which is equal to 2x=12 that means x is 6. then plug 6 into (7x+7) which is equal to 49.

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