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Naya [18.7K]
3 years ago
5

Combine like terms to simplify the following expression : 12x+4y-3x+2-8y^2+9

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0

−

8

2

+

9

+

4

+

1

1 fgdfgdfgdfgdfg

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In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
the two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more qui
uranmaximum [27]

The missing figure is attached down

Answer:

Container A is filling more quickly

Step-by-step explanation:

<em>Let us explain the linear relation</em>

The linear equation is y = m x + b, where

  • m is the slope of the line which represents the rate of change (change in y/change in x)
  • b is the y-intercept which means the initial amount of y (at x = 0)

<em>If a line represents the amount of water over time, then it represents the rate of filling of the water</em>

∵ There are two containers A and B that have the same size

∵ The two lines represent the amount of water over time in

    containers A and B

∴ The slopes of the lines represent the rat of water in the tanks

→ That means the greater slope represents the greater rate

∵ The greater the slope, the steeper the line

∴ The container that represented by the steeper the line is filling quickly

→ The line represents container A is steeper more than the line

    represents container B

∴ Container A is filling more quickly

4 0
3 years ago
Can someone please answer this!
Rus_ich [418]

Answer:

Answer is 49

Step-by-step explanation:

Add all the ratios up you get 21 so then you divide 147 by 21 thus giving you 1 ratio = 7 respectively, and we know the ratio of the red is 7 because it's stated red, blue, and green -> 7,6,8. So then 7 * 7 = 49. And to confirm you can do (7*7)+(6*7)+(8*7) which should equal 147

7 0
3 years ago
Read 2 more answers
What is 100 in scientific notation ​
Tju [1.3M]

Answer:

1*10^2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Answer and explanation?
bazaltina [42]
C!
One dollar = $1
And in a math equation is usually a decimal
56 cents is .56 because it’s not a whole new If you add them together you get $1.56 :) hope it helps
8 0
2 years ago
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