Solve the system using elimination. Show your work! (6 pts)
(7x + 10y = 11
(4x + 3y = -10

Answers

Answer 1

Answer:

x=-7

y=6

Step-by-step explanation:

7x+10y=11

4x+3y=-10

-3(7x+10y=11

10(4x+3y=-10

-21x-30y=-33

40x+30y=-100

19x = -133 (divide 19 on both sides)

x= -7

Now put the x in one of the original questions.

7(-7)+10y=11

-49+10y=11 (Add 49 to both sides)

10y=60 (Divide 10 on both sides)

y=6


Related Questions

Please help I’ll give brainliest

Answers

Answer:

R = 13%

Step-by-step explanation:

P = $4000

I = $780

T = 18 months = 18/12 years

[tex]I = \frac{PRT}{100} \\\\780 = \frac{ 4000 \times R \times \frac{18}{12}}{100}\\\\780 = \frac{6000 \times R }{100}\\\\780 = 60R\\\\R = \frac{780}{60} = 13 \%[/tex]

i need the answerr please!!!!!

Answers

Answer:

D 6

Step-by-step explanation:

The range is the values that y can take

The only value that y can take is 6

Answer:d 6

Step-by-step explanation:

In the figure shown PS = RQ. which theorem can be used to prove Triangle SQR = Triangle QSP?

I'm not sure which answer it is can you help me?​

Answers

Answer:

HL (hypotenuse leg)

Step-by-step explanation:

From the diagram, we have two sides that are congruent

The side QS is common to both triangles

Also, we have it that the side PS and QR are congruent

What this mean is that we have two sides that are already the same

Now, looking at the right angle position in both, we can see that QR and PS represents the hypotenuse of individual right angles

Using the HL congruence statement, since we have it that the hypotenuse one side is already congruent, we can conclude that the last side too is congruent and as such both triangles are congruent to each one another

Nvm, I know it's KM for this one y'all.

Answers

Answer:

If the question is asking which line is the radius then yes

Step-by-step explanation:

Please answer these tree questions in detail...
Will give Brainliest for the best...
Want answer in detail ASAP

Answers

Answer:

Step-by-step explanation:

14.

A.  

x = 5.0081818181..

10x = 50.08181818181....

100x = 500.81818181818...

100x - x = 500.8181818... - 5. 008181818....

99x = 495.81

[tex]x = \frac{495.81}{99} = \frac{495.81 \times 100}{99 \times 100} \\\\\\x= \frac{49581}{9900}[/tex]

[tex]x = \frac{5509}{1100}[/tex]

14.

B.

[tex]\sqrt{50} - \sqrt{98} + \sqrt{162} \\\\\sqrt{ 2 \times 25} - \sqrt{ 2 \times 49} + \sqrt{2 \times 81}\\\\\sqrt{ 2 \times 5^2} - \sqrt{ 2 \times 7^2} + \sqrt{2 \times 9^2}\\\\5\sqrt2 - 7 \sqrt 2 - 9 \sqrt 2\\\\\sqrt{2} ( 5 - 7 + 9 ) \\\\7\sqrt2[/tex]

15.

[tex]\frac{3 + \sqrt5}{4 - 2\sqrt 5} \\\\= \frac{3 + \sqrt5}{4 - 2\sqrt 5} \times \frac{4 + 2\sqrt5}{4 + 2\sqrt5}\\\\[/tex]                           [tex][ \ rationalizing \ the \ denominator \ ][/tex]

[tex]=\frac{(3 + \sqrt5)(4 + 2\sqrt5)}{(4 -2 \sqrt5)(4 + 2\sqrt5)}\\\\=\frac{12 + 6 \sqrt5 + 4\sqrt5 + 2(\sqrt5)^2}{(4)^2 - (2\sqrt5)^2}[/tex]                    [tex][ \ (a - b)(a +b) = a^2 - b^2 \ ][/tex]

[tex]=\frac{12 + 10 + 10\sqrt5}{16 - (4 \times 5)}\\\\=\frac{22 + 10\sqrt5}{16 - 20 }\\\\=\frac{22+ 10 \sqrt5 }{-4}[/tex]

[tex]= \frac{11}{-2} + \frac{5 \sqrt5}{-2}\\\\= -\frac{11}{2} + \frac{-5 }{2} \sqrt5\\\\[/tex]

[tex]a = - \frac{11}{2} , \ b = -\frac{5}{2}[/tex]

16

[tex]\frac{\sqrt7 + 1 }{\sqrt7 - 1} - \frac{\sqrt7 - 1}{\sqrt7 + 1}\\\\[/tex]

[tex]\frac{(\sqrt 7 + 1 )( \sqrt7 + 1)}{(\sqrt7 - 1 )(\sqrt7 + 1)} - \frac{(\sqrt7 - 1)(\sqrt 7 - 1)}{(\sqrt7 + 1)(\sqrt7 - 1)}[/tex]     [tex][ \ LCM \ of \ denominators : (\sqrt7 -1)(\sqrt7 + 1) \ ][/tex]

[tex]\frac{(\sqrt 7 + 1 )^2 -( \sqrt7 - 1)^2}{(\sqrt7)^2 - 1^2}[/tex]                     [tex][ \ (a \pm b)(a \pm b) = (a \pm b)^2 \ (a-b)(a+b) = a^2 - b^2 \ ][/tex]

[tex]=\frac{(7 + 1 + 2\sqrt7) - ( 7 + 1 - 2\sqrt7)}{7 - 1}\\\\=\frac{8 + 2\sqrt7 - 8 + 2\sqrt7}{6}\\\\= \frac{4 \sqrt7}{6}\\\\= \frac{2 \sqrt 7}{3}[/tex]

I really help on this question

Answers

Answer:

jojo reference

Step-by-step explanation:

x + 129 = 180
x = 180 - 129 = 51 degrees

If you need to show reasons
Adjacent angles on a straight line add to 180 (supplementary)
Corresponding angles on parallel lines are equal

If a^2+b^2=5 and a+b=3, then ab=

Answers

Answer:

  ab = 2

Step-by-step explanation:

You know that ...

  (a +b)^2 = a^2 +2ab +b^2

Rearranging, we can solve for ab ...

  2ab = (a^2 +b^2) -(a +b)^2

  ab = ((a +b)^2 -(a^2 +b^2))/2 = (3^2 -5)/2

  ab = 2

Lexon is standing 7.05 meters away from the statue off the Merlin mp at Merlin park Singapore the height of her eyes from her feet is 1.55 meters given that the angle of elevation of the top of the statue from her eyes is 42゚ find the height of the statue

Answers

Answer:

7.9m

Step-by-step explanation:

We solve using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

Opposite = x

Adjacent = 7.05m

We solve for x

tan 42 = x /7.05m

Cross Multiply

tan 42 × 7.05 = x

x = 6.3478485123m

Approximately = 6.35m

Height of the statue = x + 1.55

Hence, = 6.35m + 1.55m

= 7.9m

The height of the statue = 7.9 meters

What kind of sequence is this? (Need an answer fast lol.)​

Answers

i dont know anymore

ok it was arithmetic

Answer:

arithmetic

Step-by-step explanation:

because this number is increasing by 7 in each

Work out the time taken, in minutes, for a 68km journey at an average speed of 85km/h​

Answers

Answer:

48 minutes

Step-by-step explanation: Time taken is distance divided by speed, so 68/85 is 0.8. 0.8 is equal to 4/5. 4/5 of an hour is 48 minutes.


[tex]why \: \: do \: we \: need \: food \: \: \: \: {?} [/tex]

Answers

Answer:

to survive

Step-by-step explanation:

if you don't eat you are gonna died➡

What is the value of
4/3 divided by 2/5 ?

Answers

Answer: (10/3)

Explanation:

(4/3)/(2/5) = (10/3)
Multiply by reciprocal
And solve

Answer:

4/3 ÷ 2/5

= 4/3 × 5/2

= 4×5/3×2

= 20/6

= 10/3 = 3  1/3 or 3.3333

haven't had luck with this question in the past and I need help.

Answers

Answer:

pi

Step-by-step explanation:

First find the area of a full circle with radius 2

A = pi r^2

A = pi 2^2

A = 4 pi

We know that this is 1/4 of a circle so take 1/4 of the area

1/4 A = 1/4 (4 pi) = pi

QUICKK a Square board has area of 2 ft.² what is the length of one side of the board

Answers

Answer:

√2 ft.

Step-by-step explanation:

⇒ Area of square board = 2 ft.²

⇒ (Side of the board)² = 2 ft.²

⇒ Side of the board = √(2 ft.²)

Side of the board = √2 ft.

I don’t wanna get wrong

Answers

Answer:

I think the answer is yes

Multiply x by 12 to get y

Please give real answers with an explaination. 50 points + I will give the brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

x = 134

Step-by-step explanation:

Exterior angle = sum of opposite interior angles

                      = 90 + 44 = 134

OR

Sum of angles of triangle = 180

that is,

90 + 44 +y = 180

y = 180 - 134

 y = 46

x + y = 180                [ straight line angles ]

x + 46 = 180

x = 180 - 46 = 134

Answer:

x = 134

Step-by-step explanation:

triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.

a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134

(ii) Using a calculator, or otherwise, determine the exact value, to one decimal place, of 8792-6886 12 X 9 ​

Answers

Answer: I did it in the explanation thingy-

Step-by-step explanation:

Step 1. 8792 - 6886 = 1906

Step 2. 12 x 9 108

That... OR the answer is 205848X

En la inaguracion de unos juegos olimpicos, los 38 representantes de una nacion quieren desfilar formando columnas de 6¿es posible?¿de que modo podria desfilar formando columnas iguales?

Answers

Answer:

a) No

b) Sí

Step-by-step explanation:

a) En la inauguración de unos Juegos Olímpicos, los 38 representantes de una nación quieren desfilar en columnas de 6, ¿es posible?

Esto se calcula como

38 representantes / 6 columnas

= 6 2/6 = 6 1/3 columnas

No, no es posible, tendríamos 7 columnas con 6 columnas con representantes iguales de 6 y la séptima columna tendría solo 2 representantes allí

b) ¿Cómo podrían desfilar en columnas iguales?

Sí pueden

Esto se calcula como 38 representantes ÷ 2

= 19 columnas

Podemos tener 19 columnas con 2 representantes cada una

FREE
y
A
What is the pre-image of vertex A' if the image shown
on the graph was created by a reflection across the y-
axis?
8
X
0 (-8,-6)
O (-6, 8)
O (86)
O (6.-8)
C
B
Mark this and return
Save and Exit
Next
Submit

Answers

I did this one and it is (-8,-6)

Really need help ?????pls

Answers

Answer:

34,833.21 ft³

Step-by-step explanation:

Volume of a cylinder = πr²h

r is the radius

h is the height

Given

height h = 19 3/4 ft

d = 1 1/5h

d = 6/5 * h

d = 6/5 * 19 3/4

d = 6/5 * 79/4

d = 474/20

radius r = 474/20 * 1/2

radius r = 474/40

radus r = 11 34/40

radus r = 11 17/20 ft

Get the volume

V = 3.14 * (474/40)² * 79/4

V = 3.14 * 561.69 * 19.75

V = 34,833.20535

Hence the volume of the cylinder to the nearest hundredth is 34,833.21 ft³

NO LINK PLEASE. OR I WILL REPORT YOU.

Answers

Answer:

x = 80

Step-by-step explanation:

Both angles together form 180, therefore x is 80

Answer:

x = 80

Step-by-step explanation:

100 and x form a straight line so they add to 180

x+100 =180

Subtract 100 from each side

x = 180-100

x = 80

I need help i'm struggling with this work

Answers

I believe the correct answer is C I could be wrong tho

Answer:

[tex]y=0.5x+2[/tex]

Step-by-step explanation:

Finding the inverse of a function is essentially finding the complete opposite of a given function. An easy trick can be used to find the inverse of a function. This trick is essentially thinking of the evaluator (f(x)) as another variable. Solve the function for (x) in terms of (f(x)); use inverse operations to do so. After completing this process, rewrite the function such that it is in the inverse function notation; switch the position of the (f(x)) and the (x), then indicate that it is an inverse function.

[tex]f(x)=2x-4[/tex]

Inverse operations,

[tex]f(x)=2x-4[/tex]

[tex]f(x)+4=2x[/tex]

[tex]\frac{f(x)+4}{2}=x[/tex]

Simplify,

[tex]0.5f(x)+2=x[/tex]

Rewrite in inverse function notation,

[tex]f^-^1(x)=0.5x+2[/tex]

[tex]y=0.5x+2[/tex]

If you deposit $350 in an account that compounds interest continuously at 6.3%, how long will ittake to double your money?

Answers

Answer:

11 years

Step-by-step explanation:

Double of the amount deposited = $350 × 2 = $700

First, convert R as a percent to r as a decimal

r = R/100

R = 6.3%

Hence,

r = 6.3/100

r = 0.063 per year,

Then, solve the equation for t = time, the formula is given as:

t = ln(A/P) / r

A = Doubled amount = $700

P = Principal = Initial amount = $350

t = ln(700.00/350.00) / 0.063

t = 11.002 years

Approximately , t = 11 years

Therefore, it will take 11 years for your money to double.

Find numbers a and b, or k, so that f is continuous at every point.

Answers

Answer:

[tex] \boxed{k = 7} [/tex]

Step-by-step explanation:

When interpreting this piecewise function, to determine whether or not the function is continuous, the limit to the left must be the same as the limit to the right.

Therefore to find an a value where the function is continuous at every point, we must determine where the limit is for the function.

In this case, the function is continuous at x = 7.

lim x→7 [x²] = lim x→7 [kx].

(7)² = k(7)

49 = 7k

÷7 ÷7

7 = k

k = 7.

En un colegio la cantidad de cuadernos y libros estan en la razon 2 es a 3. Si en total hay 126 cuadernos cuantos libros hay

Answers

Answer:

The number of books are 189.

Step-by-step explanation:

ratio of note books to the books = 2 : 3

total notebooks = 126

Let the number of books is x.

So, the ratio is

[tex]\frac{2}{3} = \frac{126}{x}\\\\x = 189[/tex]

So, the number of books are 189.

Joshua drove his car a distance of 449.6 miles, and it required 12.9 gallons of gasoline (petrol). How many liters of fuel will it take to go 100 kilometers?

Answers

Answer:

6.75L of fuel are needed

Step-by-step explanation:

To solve this question we need to convert the miles to km and the gallons to liters in order to find the km/L that the car is doing:

km -1km = 0.621371miles-

449.6miles * (1km / 0.621371 miles) = 723.56km

L -1L = 0.264172gal-

12.9gal * (1L / 0.264172gal) = 48.83L

km/L:

723.56km / 48.83L= 14.82km/L

The liters the car takes to go 100km are:

100km * (1L / 14.82km) = 6.75L of fuel are needed

If k = -18 and m = 7, what is m - k?
Submit

Answers

Answer:

5

Step-by-step explanation:

Evaluate and substitute:

Sqrt of 7 - (-18)

Sqrt of 7 + 18 = 25

Sqrt of 25 = 5

Therefore, our answer!

Hope this helps, best of luck! :p

10. SImplify. Write using rational exponents. Be sure to show any work and simplify your answer

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

Determine the x and y intercepts for the line 3x – 5y + 15 = 0. Show your work.

Answers

Answer:

Step-by-step explanation:

The x and y intercepts occur when either x or y = 0

For the y intercept, x = 0

3(0) - 5y + 15 = 0

- 5y + 15 = 0                  Subtract 15 from both sides.

-5y = - 15                       Divide by - 5

-5y / -5 = - 15/-5

y = 3

For x intercept, y = 0

3x - 5(0) + 15 = 0

3x + 15 = 0                    Subtract 15 from both sides

3x = - 15                        Divide by 3

3x/3 = - 15/3

x = - 5

xintercept = (-5,0)

yintercept = (0,3)

simple interest 34,100 at 4% for 3 years ​

Answers

Answer:

Step-by-step explanation:

.....

Find 4 %

1% = £341
4% = 341 X 4 = £1364

£1364 X 3 years = £4092

Based on the 4% interest per year

If it was 4% interest per month...


£1364 X 36 months/3years = £49,104
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