Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).

Answers

Answer 1

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3


Related Questions

which doesnt belong and why​

Answers

Answer:

C

Step-by-step explanation:

They all have and addition and subtraction pattern in each cube, thank me later - PrObLeM OcCuReD

If you draw a rectangle that has a width of 12 centimeters and an area of 48 centimeters, what is the length of the rectangle?

Answers

Answer:

length=4 cm

Step-by-step explanation:

Area of rectangle= length * width

48=l*12

length=48/12

length=4 cm

A shipping container is in the shape of a right rectangular prism with a length of 9 feet, a width of 12 feet, and a height of 14.5 feet. The container is completely filled with contents that weigh, on average, 0.83 pounds per cubic foot. What is the weight of the contents in the container, to the nearest pound

Answers

Answer:

1,300 lb.

Step-by-step explanation:

V = 9 × 12 × 14.5 = 1566 ft³

1,566 × 0.83 = 1,299.78 ≈ 1,300 lb.

(cos θ) ( sin 2θ) -2 sin θ +2 =0

Answers

Answer:

[tex](cos \:\theta )(sin\: 2\theta)-2\:sin\: \theta +2=0[/tex] [tex]\Longleftarrow[/tex] substitute

[tex]sin\: \theta \: cos^{2} -sin \theta +1=0[/tex] [tex]\Longleftarrow[/tex] Divide both sides by 2

[tex]sin\theta (cos^{2} \theta -1)+1=0[/tex] [tex]\Longleftarrow[/tex] Factor

[tex]sin \theta (sin^{2} \theta )+1=0[/tex] [tex]\Longleftarrow[/tex] substitute

[tex]sin^{3} \theta =-1[/tex] [tex]\Longleftarrow[/tex] Isolate

[tex]sin \theta =-1[/tex]

[tex]\theta =\frac{3\pi }{2} ,\frac{7\pi }{2}[/tex]

OAmalOHopeO

Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10

Answers

Answer:

[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].

Step-by-step explanation:

Multiply both sides by [tex](1/5)[/tex] and simplify:

[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].

[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].

Take the base-[tex]10[/tex] logarithm of both sides:

[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].

[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].

[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].

How to solve this Pythagoras’

Answers

Answer:

Step-by-step explanation:

Hypotenuse = Length of  ladder = 10m

Distance between wall and end of the ladder at ground =   leg ²  = 2 m

Height of wall = x m

Use Pythagorean theorem

leg² +x² = 10²

2² + x² = 100

4 +x²    = 100

       x² = 100 -4

      x² = 96

      x = √96

       x  = 9.7979

      x = 9.798 m

when x=1,2,3,.... find limit x->infinity
choice
a. 0
b. 1
c. 2
d. 3
f. 4
help me!!!

Answers

Let y = √x, so the limit can be rewritten as

[tex]\displaystyle \lim_{y\to\infty}\left(\frac{\sqrt{y^6+y^2}}{y^2+3} - \frac{\sqrt{y^4+1}}{y+4}\right)[/tex]

Now,

[tex]\sqrt{y^6+y^2} = \sqrt{y^2\left(y^4+1\right)} = y\sqrt{y^4+1}[/tex]

so we can rewrite the limit further as

[tex]\displaystyle \lim_{y\to\infty}\left(\frac{y}{y^2+3} - \frac1{y+4}\right)\sqrt{y^4+1}[/tex]

Combine the rational terms:

[tex]\dfrac y{y^2+3} - \dfrac1{y+4} = \dfrac{y(y+4)-(y^2+3)}{(y^2+3)(y+4)} = \dfrac{4y-3}{(y^2+3)(y+4)}[/tex]

Then in the limit, we get

[tex]\displaystyle \lim_{y\to\infty}\frac{(4y-3)\sqrt{y^4+1}}{(y^2+3)(y+4)} = \lim_{y\to\infty}\frac{(4y^3-3y^2)\sqrt{1+\dfrac1{y^4}}}{y^3+4y^2+3y+12} \\\\ = \lim_{y\to\infty}\frac{\left(4-\dfrac3y\right)\sqrt{1+\dfrac1{y^4}}}{1+\dfrac4y+\dfrac3{y^2}+\dfrac{12}{y^3}} = \boxed{4}[/tex]

in triangle ABC A-B= 15 degree, B-C= 30 degree find A,B,C

Answers

Answer:

A=80 , B=65, C=35

Step-by-step explanation:

A-B=15 ⇒A=B+15

B-C=30⇒-C=30-B ⇒C=B-30

the sum of angle of a triangle = 180

A+B+C=180 ( substitute A and C)

B+15+B+B-30=180

3B-15=180

3B=180+15

B=195/3=65

C=B-30 ⇒ C=65-30=35

A=B+15=65+15=80

check : A+B+C=180

             80+65+35=180 ( correct)

On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units

Answers

Could you show a picture please?

Answer:

B, 10+ /10 units

Step-by-step explanation:

Select the representations that do not change the location of the point (6, 170°). a. (-6, 350°) b. (-6, 190°) c. (-6, -10°) d. (6, -190°)

Answers

Answer:

b) (_6,198,) 1112334dccfsshh

Simplify the expression. (3x2 – 4x + 1) + (-x2 + x – 9)

Answers

Answer: 2x2−3x−8

Step-by-step explanation:

Plz helpppppp I need help fast !!!!!!!!!!

Answers

Answer:that s math

Step-by-step explanation:

Answer:

the choices for answers are technically incorrect...

the "correct" answer is [tex]m^6n^4[/tex]

the answer that matches that (which is not simplified) is:

"A":    [tex]\frac{m^{7} n^{3} n}{m}[/tex]

Step-by-step explanation:

HELP PLEASE ITS URGENT PLEASE

Answers

Answer: 17

Step-by-step explanation:

Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7

10 +7 is 17.

also i hope this helps and i hope this is not a test...

If 6x^3 - (k+6)x^2 + 2kx - 25 is divided by 2x-5 remainder is o find the value of k.​

Answers

Answer:

25

Step-by-step explanation:

6x³-(k+6)x²+2kx-25

2x-5=0

2x=5

x=5÷2=2.5

6(2.5³)-(k+6)(2.5²)+2(2.5)k -25=0

(6×15.625)-(6.25k+37.5)+(5k)-25=0

93.75-6.25k-37.5+5k-25=0

93.75-37.5-25=6.25k-5k

31.25=1.25k

k=25

Which statement is true about the solutions to x^2 - 1 = 24

A. There are two distinct irrational solutions.

B. There are two distinct rational solutions

C. There is only one rational solution

D. There is only one irrational solution

Answers

Answer:

B. There are two distinct rational solutions

Step-by-step explanation:

x^2 -1 = 24

Add 1 to each side

x^2 -1+1 = 24+1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

Answer:

B.

Step-by-step explanation:

x^2 - 1 = 24

x^2 = 25

Taking the square root of both sides:

x = -5, 5.

2 distinct rational solutions.

Are these proportional? 10 books for $4.50; 15 books for $6.00


Answers

Answer:

no

Step-by-step explanation:

5 books are $2.50, mean that 10 books should only be $4.00 not $4.50. Also making the 15 for $6.00 only $5.50. All because 5 books would be $2.50.

please help someone..

Answers

Answer:

x=(3e+2d)/(2g-ef)

Step-by-step explanation:

d=e(3+fx)/(2+gx)

or, 2d+2gx=3e+efx

or, 2gx-efx=3e+2d

or, x(2g-ef)=3e+2d

or, x=(3e+2d)/(2g-ef)

Answer:

x = (-2d + 3e) / (dg - fe)

Step-by-step explanation:

We solve it by using algebra.

1. Multiply each side by 2 + gx:

dgx + 2d = fxe + 3e

2. Subtract fxe on both sides:

dgx − fxe + 2d = 3e

3. Subtract 2d from both sides:

dgx − fxe = −2d + 3e

4. Factor out x:

x (dg − fe) = −2d + 3e

5. Divide dg - fe:

x = (-2d + 3e) / (dg - fe)

I hope this helped! :D

A police car drives with a constant speed of 64 mph. How far can it travel in 2 hours?

Answers

Answer:

128 miles.

Step-by-step explanation:

The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.

64 * 2 = 128 miles

Hope this helps!  

please help me guys im desprate at this point ​

Answers

Answer:

Does the answer help you?

Find the solution set of the inequality. -25 > -5(x + 2.5

Answers

Answer:

-25 > -5(x+2.5)

-25 > -5x -12.5

x > 5/2

please click thanks and mark brainliest if you like :)

Answer:

x < 2.5

Step-by-step explanation:

-25>-5(x-12.5)

-25 > -5x -12.5

add 12.5 to both sides

-25+12.5 > -5x -12.5+12.5

-12.5> -5x

divide both sides by -5

(-12.5/-5)> -5x/-5

x>2.5

since we divided by a negative,the inequality sign will flip over

x<2.5

Can somebody please tell me if it’s right? i’ll mark u the brainliest

Answers

Answer:

Yes, you are correct.

Step-by-step explanation:

You are substituting the measure of angle x as the measure of angle a since they are congruent to each other.

128 is the product of hectors score and 8


Fastest answer will be the brainliest

Answers

Answer:

The equation would be 8h= 128

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

128=8h

When you divide both sides by 8, you end up with:

16

What x value solves the equation? 3x – 5 = 1 x =

Answers

Answer:

x = 2

Step-by-step explanation:

3x - 5 = 1

Adding 5 to both sides gives us:

3x - 5 + 5 = 1 + 5

3x = 6

Dividing the equation by 3 gives us:

3x / 3 = 6 / 3

x = 2

Answer:

x = 2 Hfizfifsits96eotst9s

what is the HCF of 7 and 13​

Answers

Answer:

The HCF of 7 and 13 is 1

Step-by-step explanation:

Prime numbers only have one factor which is 1 and itself
•••••••••••••••••••••••••••••••
doomdabomb: All brainliest
and thanks are appreciated
and would mean a lot to me,
thanks!

What is the reminder? Help

Answers

Answer:

6

Step-by-step explanations:

The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.

Hope this helps.

|-6+8| = simplify the expression

Answers

Answer:

2

Step-by-step explanation:

|-6+8|

Add/subtract the numbers: -6 + 8 = 2

= |2|

Apply the absolute value rule: |a| = a, a ≥ 0

= 2

Phân tích
x³-6x²+11x-6

Answers

Answer:

(x-1)(x-2)(x-3)

Step-by-step explanation:

hy vọng nó giúp

A rectangular vegetable patch has a perimeter of 18 meters. Its area is 18 square meters. What are the dimensions of the vegetable patch?

Answers

Answer:

6 meters and 3 meters are the dimensions of the vegetable patch.

Step-by-step explanation:

Keep in mind the formulas for perimeter and area of a rectangle are:

A - lw

P - 2 (l + w)

List the factors of 18:

1, 2, 3, 6, 9, 18

POSSIBLE DIMENSIONS of the vegetable patch:

1 meter and 18 meters

Area - 18 m^2

Perimeter - 38 meters

2 meters and 9 meters

Area - 18 m^2

Perimeter - 22 meters

3 meters and 6 meters

Area - 18 m^2

Perimeter - 18 meters

The rectangular vegetable patch with the dimensions 3 meters and 6 meters corresponds with the given area and perimeter of the vegetable patch mentioned. So that is your answer.

Hope this helps!

23-[12+{16-(12÷3)}] simplify​

Answers

Answer:

           23-[12+{16-(12÷3)}] = - 1

Step-by-step explanation:

23 - [12 + {16 - (12÷3)}] =

= 23 - [12 + {16 - 4}] =

= 23 - [12 + 12] =

= 23 - 24 =

= - 1  

Answer:

The Answer to 23-[12+{16-(12/3)}]=-1

Step-by-step explanation:

To answer this question you must follow the order of operations.

PEDMAS

23-[12+{16-(12/3)}]

23-[12+{16-4}]

23-[12+12]

23-24=-1

Bernita and Derek each plot a number on a number line. the numbers are unique but have the same absolute value. the sum of the absolute values of the numbers is 50. what are the two numbers

Answers

Answer:

  -25, 25

Step-by-step explanation:

Since the numbers have the same absolute value and the sum of their absolute values is 50, they both must have an absolute value of 50/2 = 25.

Unique numbers with the same absolute value will have opposite signs.

The numbers are -25 and 25.

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