solve the system of elimination
-3x+8y=-6
3x-2y=-12

Answers

Answer 1

Answer:

(- 6, - 3 )

Step-by-step explanation:

Given the 2 equations

- 3x + 8y = - 6 → (1)

3x - 2y = - 12 → (2)

Adding the 2 equations will eliminate the x- term

0 + 6y = - 18

6y = - 18 ( divide both sides by 6 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (2)

3x - 2(- 3) = - 12

3x + 6 = - 12 ( subtract 6 from both sides )

3x = - 18 ( divide both sides by 3 )

x = - 6

solution is (- 6, - 3 )


Related Questions

29
7. Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the
perfect square​

Answers

Answer:

69 need to be added

Step-by-step explanation:

1300 +69 = 1369

37 ²  = 1,369

square root of 1,369 is 37

In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?​

Answers

Answer:

accounting=30, economics=15, only one=35

Step-by-step explanation:

a=2e

5 both

10 neither

40=a+e-5

45=a+e

45=2e+e

e=15

a=2e

a=30

f

in geometry class there are 9 males and 11 females. what is the ratio of males to the total number of students

Answers

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

how much sand do you need to fill this box?

Answers

V = L x W x H
V = 5 x 2 x 3
V = 30 ft

ANSWER: you need 30ft of sand to fill the box

Answer:

30ft

Step-by-step explanation:

What would this expression be when simplified

Answers

Very top 1 …………………………………………

Plz help ASAP the number that is cut off on 69 is 24

Answers

Answer:

[tex]A=256\ units^2[/tex]

Step-by-step explanation:

The given figure shows a triangular pyramid having 16 units as height. The base of pyramid is triangle.

The area of a triangular pyramid is given by :

[tex]A=\dfrac{1}{3}bH[/tex]

Where

b is the area of base

[tex]A=\dfrac{1}{3}\times \dfrac{1}{2}\times B\times h\times H\\\\=\dfrac{1}{6}\times 12\times 8\times 16\\\\=256\ units^2[/tex]

So, the required area is equal to [tex]256\ units^2[/tex].

Write 5,890,000,000 in scientific notation.

Answers

The answer is 5.89 x 10^9

an inspector tests 30 randomly selected batteries from two different brands. the inspector records the life of each battery using dot plots. which sample has a more consistent battery life how do you know

Answers

Answer:

15

Step-by-step explanation:

What is the percent for 220

Answers

Answer:

I'm pretty sure it's 2.2

220% of 100 is 2.2%

220/100 = 2.2, therefore the percentage of 220 is 2.2%

‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️

Answers

4. would be B because the y column is being multiplied by 1.5

Answer:

4. B

(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)

Step-by-step explanation:

I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x

This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).

This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )

HOWEVER, when we do a statement that does not correspond to the table

it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.

Giving brainlist to whoever answers

Answers

i think the answer would be J?

Please help!! Thanks in advance!! NO links!!

Kallan will spin each spinner one time. What is the probability that the first spinner will land on a number greater than 7 and the second spinner will land on blue?

Answers

Answer:

probability for numbers greater than seven would be: 5/12

probability for landing on blue would be: 2/8

Step-by-step explanation

first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.

I am in need of help plz and thank you:

Answers

Answer:

x ≥ 1

Step-by-step explanation:

-30 + 8x ≥ -22

Add 30 to both sides.

8x ≥ 8

Divide both sides by 8.

x ≥ 1.

On the number line, click and hold in the middle of 0 and 2 (1) and drag all the way to the right to 12.

Given ASTU and ADEF, what is mZU?

Answers

Answer:

Maybe the same as the angle of F (46)

Step-by-step explanation:

If you see the two shapes are the same. but different size. so therfore the angles are same.  

Please help!! Someone answered this already as a joke, I seriously need help on this

Answers

Question :-

Match the shape with the correct formula for finding the volume :-

SHAPES :-

ConeCylinder Triangular PrismRectangular Prism Pyramid

FORMULAE :-

[tex] \sf lwh[/tex] [tex] \sf Bh[/tex] [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] [tex] \sf \pi {r}^{2} h[/tex] [tex] \sf \frac{1}{3} Bh[/tex]

____________________

Solution :-

Given Information :-

Shapes Formulae to calculate Volume

To Do :-

Match the shape with the correct formula for finding the volume.

Calculation :-

Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex]

____________________

Final Answers :-

Cone = [tex] \sf \frac{1}{3} \pi {r}^{2} h[/tex] Cylinder = [tex] \sf \pi {r}^{2} h[/tex] Triangular Prism = [tex] \sf Bh[/tex] Rectangular Prism = [tex] \sf lwh[/tex] Pyramid = [tex] \sf \frac{1}{3} Bh[/tex]

____________________

help plsssssssssssssssssssss

Answers

Answer:

answer: 280

Hope that helps!

If there were 125 students in 5 busses how many were in 1 bus?

Answers

125/5 = 25 there are 25 people per bus

Answer:

25

Step-by-step explanation:

To answer this question we must simply divide the number of students by the number of buses

Use the algorithm method.

2 5

5 | 1 2 5

1 0  

2 5

2 5

Therefore, 125 divided by 5=25

So there are 25 students on 1 bus

5 balloons in 12 minutes. At this rate, how many balloons can she blow up in 3 hours?

Answers

Answer:

75 ballons in 3 hours

Step-by-step explanation:

We know the ratio min to balloon, 12:5.

A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]

So, 75 balloons is how many she can blow up in 3 hours.

What is the value of x in the figure ? In this diagram,
△ABD≅△CAD.

A √160
B 8
C 16/5
D √5
E 25/4
F 16

Answers

9514 1404 393

Answer:

  E.  25/4

Step-by-step explanation:

The right triangles are similar so the sides are proportional.

  short side/hypotenuse = x/10 = 10/16

  x = 100/16 = 25/4 . . . . . . multiply by 10

EN LA CIMA DE UN FARO DE 7 m DE ALTO SE OBSERVA UNA LANCHA CON UN ANGULO DE DEPRESIÓN DE 12 GRADOS. CALCULAR LA DISTANCIA ENTRE LA LANCHA Y EL PIE DEL FARO

Answers

Answer:

33 metros

Step-by-step explanation:

Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.

En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:

tgθ = cat op / cat ady   (1)

De ahí despejamos el cat ady:

cat ady = cat op / tgθ

Reemplazando tenemos:

cat ady = 7 / tg12

cat ady = 32.93 m o solo 33 m.

Espero te sirva

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.

Ahora, la función tangente de la trigonometría se puede escribir como,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]

Por tanto, la distancia entre el barco y el faro es de 32.93 metros.

In English,

The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.

As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.

Now, the tangent function of the Trigonometry can be written as,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]

Hence, the distance between the boat and the lighthouse is 32.93 meters.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

You walk at a rate of 2 blocks per minute, so you walk 12 blocks in
Blank minutes.

Answers

6 minutes because 6 x 2 is 12.


Please help me rn)$:$:$3$$3 plzzzz

Answers

Answer:

-3

Step-by-step explanation:

The y intercept is the constant(b) next to mx in y intercept form.

drag each equation for the value of the n that makes it true.​

Answers

Step-by-step explanation:

n=2

1. 16=8×n

16/8=n

2=n

4. n×4=8

n=8/4

n= 2

n=8

2. 16=n×2

16/2=n

8=n

3. 4×n= 32

n=32/4

n= 8

hope it helps

HELP MEEEeeeeeEEEEEEEEEEE

Answers

Answer:

it's neptune hun

Step-by-step explanation:

Answer:

Neptune

Step-by-step explanation:

Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.

uhhhhhhh helppppppppp

Answers

Answer:

A

Step-by-step explanation:

Answer: A 4\5

Step-by-step explanation:

the cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, Y, and the number of hours, X, that the paddleboat is rented?

A. y =3.5x+7 B. y =7x+3.5
B. y =7x+3.5
C. y =x/7+3.5 D. y =x/3.57
D. y =x/3.5+7

Answers

Answer:

the correct answer is A, y=3.5x + 7

What is the exact height of a right triangle with an angle that measures 30 degrees adjacent to a base of 4.

Answers

Answer:

2.3

Step-by-step explanation:

We are to determine the opposite length given an angle of 30 degrees and an adjacent side of 4

we would make use of tan 30

tan 30 = opposite / adjacent

0.5774 = opposite / 4

opposite = 0.5774 x 4 = 2.3

6(2x-3) - 2(2x+1)
can someone get an answer for that ASAP pls
no links :)​

Answers

Answer: 8x−20

Step-by-step explanation:

Distribute:

=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)

=12x+−18+−4x+−2

Combine Like Terms:

=12x+−18+−4x+−2

=(12x+−4x)+(−18+−2)

=8x+−20

Answer:

[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]

Step-by-step explanation:

brainiest please

Find the circumference

Answers

Answer:

c=pi*D

d=7

pi times 7= 21.98 is the circumference

c=pi*D

d=8

pi times 8=25.12 is the circumference

Step-by-step explanation:

Will get brainliest!!!!!
Will report bots

Answers

Answer:

x= -5 or x=4

Step-by-step explanation:

Lets first turn this into quadratic formula form

(-1 ±[tex]\sqrt{1^2-4*1*-20}[/tex]) / 2

(-1 ± 9 )/2

-10 / 2   =x or 8/2 =x

x= -5 or x=4

It was hard to type it in the comments hope this helped

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