1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kozerog [31]
3 years ago
8

What is the solution of the system?

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Divide the first equation by 2 and add the result to the second equation. This will eliminate x.

... (-4x -2y)/2 + (2x +4y) = (-12)/2 +(-12)

... 3y = -18 . . . . . collect terms

... y = -6 . . . . . . . divide by 3

Substitute this into either equation to find x. Let's use the second equation, where the coefficient of x is positive.

... 2x +4(-6) = -12

... 2x = 12 . . . . . . . . add 24

... x = 6 . . . . . . . . . . divide by 2

The solution is (x, y) = (6, -6).

You might be interested in
A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. Find the ball's horiz
Alex73 [517]

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = v_0t+\frac{1}{2}at^2 and filling in:

-15=(0)t+\frac{1}{2}(-32)t^2 which simplifies down to

-15=-16t^2 so

t=\sqrt{\frac{-15}{-16} } so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = (80)(.968) +(0)(.968)^2 and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet

5 0
3 years ago
Estimate the quotients 9.13 divided by 23
djyliett [7]

Answer:

0.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Graph the system of equations.<br><br> {2x - y =4<br> {x - y = -2
Mnenie [13.5K]

Answer:

See attachment

Step-by-step explanation:

The given system is

2x-y=4

x-y=-2

We write the system in slope-intercept form:

y=2x-4

y=x+2

The first equation has slope of 2 and y-intercept at (0,-4)

When y=0, x=2.

We plot (0,-4) and (2,0) to graph this first equation.

The second equation has a slope of 1 and a y-intercept at (0,2)

Also when y=0, x=-2.

We plot (0,2) and (-2,0) and draw a straight line through them.

The graph of the system is shown in the attachment.

7 0
3 years ago
The area of a circle is 100 pi ft2. What is the circumference, in feet? Express your
alexandr402 [8]

Answer:

314 ft²

Step-by-step explanation:

(100 × pi) ft²

100 × 3.14 ft²

314 ft²

4 0
2 years ago
(Multiple choice)
quester [9]

Answer:

9x^3y^4 (first option)

Step-by-step explanation:

area=length x width

area and length is given. Insert the given values

36x^5y^7= 4x^2y^3 x width

width=36x^5y^7/4x^2y^3

answer= 9x^3y^4

4 0
3 years ago
Other questions:
  • What is the overlap of Data Set 1 and Data Set 2? high moderate low none Two line plots aligned vertically so that their labels
    8·2 answers
  • A container has
    10·1 answer
  • Find X.<br><br> A) 3<br><br> B) 4<br><br> C) 5<br><br> D)6
    6·2 answers
  • Find the unit price rounded to the nearest cent: 5.8 lbs for $4.89.
    11·1 answer
  • A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to
    10·1 answer
  • What is 2/5+1/2? i am very stressed out, and i need an answer. plz someone help!
    9·1 answer
  • I really need help i don’t understand this
    8·1 answer
  • Solve the equation: 5 + 2(3 + 2x) = x + 3(x + 1)
    9·1 answer
  • Richard and Tom each mow lawns in the summer to earn money. The lawns they mow are all approximately the same size. Richard’s ea
    5·1 answer
  • Troy is going to spain and needs to convert his dollars to Euros. He knows that when he goes, $5.00 is equivalent to about 3.45
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!