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sergij07 [2.7K]
3 years ago
6

Write the equation of the line that is parallel to 3x = 2 – 3y and passes through the point ( 2, -7).

Mathematics
1 answer:
Kay [80]3 years ago
8 0
Answers 1/3 because you would add 3y to both sides then divide 2 by 6 and you get 0.33333333 which is 1/3
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Solve the system of equations - 6x + 5y = 0 and -5x + 5y = -5 by combining
Anna [14]

9514 1404 393

Answer:

  (x, y) = (-5, -6)

Step-by-step explanation:

The coefficients of y are the same, so we can eliminate y by subtracting one equation from the other. Here, we choose to subtract the first from the second, so that the coefficient of x ends up positive.

  (-5x +5y) -(-6x +5y) = (-5) -(0)

  x = -5 . . . . . . simplify

  -6(-5) +5y = 0 . . . . . . substitute x into the first equation

  6 +y = 0 . . . . . . . . . .  divide by 5

  y = -6 . . . . . . subtract 6

The solution to the system of equations is (x, y) = (-5, -6).

7 0
2 years ago
A baby who was 18 inches at birth is now 24 inches by what percentage did the babys height increase
Kazeer [188]

Answer:

≈33.3%

Step-by-step explanation:

First we find the difference of the heights to see what the growth was

24-18 = 6

Then we find what percent 6 is of 18 to see what percentage growth occured

6/18 ≈33.3%

8 0
2 years ago
What is the value of x in theequation 2.5 (6x - 4) = 10 + 4 (1.5 +0.5 x)?
Zarrin [17]

Answer:

x = 2

Step-by-step explanation:

Let's solve your equation step-by-step.

2.5(6x−4)=10+4(1.5+0.5x)

Step 1: Simplify both sides of the equation.

2.5(6x−4)=10+4(1.5+0.5x)

(2.5)(6x)+(2.5)(−4)=10+(4)(1.5)+(4)(0.5x)(Distribute)

15x+−10=10+6+2x

15x−10=(2x)+(10+6)(Combine Like Terms)

15x−10=2x+16

15x−10=2x+16

Step 2: Subtract 2x from both sides.

15x−10−2x=2x+16−2x

13x−10=16

Step 3: Add 10 to both sides.

13x−10+10=16+10

13x=26

Step 4: Divide both sides by 13.  

x=2

5 0
3 years ago
The volume of a cubical box is 474.552m3.Find the length of each side of the box
Cerrena [4.2K]

The formula of a volume of a cube:

V=a^3

We have V=474.552\ m^3

Substitute:

a^3=474.552\to a=\sqrt[3]{474.552}\\\\a=7.8\ m

Answer: The length of each side of the box is equal 7.8 m.

8 0
3 years ago
What is the simplified form of each expression?<br><br> 7x^–8 × 6x^3
klio [65]
7*6*x^-8*x^3     
42x^-8+3                    (bases same powers add)
42x^-5
1/42x^5
<span>so the simplified </span>form<span> of 7x^-8*6x^3 is=1/42x^5</span>
7 0
3 years ago
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