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jeyben [28]
3 years ago
13

Are 2d and 4d like terms

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer: Yes they are like terms

They both have the same variable so that is why they are like terms.

We can think of 'd' representing something like "dogs" maybe

d = 1 dog

2d = 2 dogs

3d = 3 dogs

4d = 4 dogs

and so on

Adding 2d with 4d gets us 2d+4d = 6d meaning we have 6 dogs overall if we started with 2 and added on 4 more. This is one way to help see why we can combine like terms.

In contrast, something like 2c+4d cannot be combined since having 2 cats and 4 dogs doesn't result in 6 cats or 6 dogs. We just simply leave it as 2c+4d.

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A system of equations is graphed on a coordinate plane.
zavuch27 [327]

Answer:

Option C is correct.

(1, 4)

Step-by-step explanation:

A system of equation is given :

2x + 3y =12                 .....[1]

4x + 2y =10                 .....[2]

Multiply equation [1] by 2 both sides we get;

2(2x+3y) = 2(12)

Using distributive property i,e a \cdot(b+c) = a\cdot b+ a\cdot c

4x + 6y = 24                           .....[3]

Subtract equation [2] from [3] to eliminate x we get;

4x + 6y - 4x - 2y= 24 - 10

Combine like terms;

4y = 14

Divide both sides by 4 we get;

y = 3.5

Substitute the value of y in equation [1] we have;

2x + 3(3.5) =12

2x + 10.5 = 12

or

2x = 12 -10.5

2x = 1.5

Divide both sides by 2 we get;

x = 0.75

Solution = (0.75 , 3.5)

Best estimate solution =  (1, 4)

Therefore, the best estimate solution of the given system of equation is, (1, 4)

8 0
3 years ago
Silver's gym charges a $65 sign-up fee and $50 per month for their membership. Solar Fitness charges a $20 sign up fee and $55 p
alexandr1967 [171]
65+50x = 55x + 20
-50x -50
65=5x+20
- 20 - 20
55=5x
55/5= 5x/5
11=x
The solution represents that it 11 months will make both gyms the exact same price.
7 0
3 years ago
Plz answer for 20 pts
KATRIN_1 [288]

Answer to Problem 1: 5√3

Answer to Problem 2: 21√5

5 0
2 years ago
Read 2 more answers
Один острый угол прямоугольного треугольника равен 30".
dlinn [17]

Answer:

speak English I don't understand your letter?and what your question?

5 0
2 years ago
Need Help On This Problem PLZ :-)
anastassius [24]

Answer:

y = 9 + 19x

Step-by-step explanation:

To find the equation matching a set of data, you simply try a few values for x and see if by solving that side of the equation you get the value of y.  If you do, you found your equation.

You have a big advantage here... since you have the value of y when x = 0.

When x = 0, y = 9, that's a very important data to have to simplify your research.

Let's try the value of 0 for x in each of the given equations:

y = 18 + 10 (0) = 18  --- NO

y = 9 + 19 (0) = 9 --- YES!  We can confirm with another value of x:

y = 9 + 19 (1) = 28 --- YES! Confirmed!

y = 9 + 19x is your answer!

8 0
3 years ago
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