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shusha [124]
3 years ago
7

What is the equation of the line that is parallel to the given line and passes through the point -3, 2

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

  4x +3y = -6

Step-by-step explanation:

The given line has negative slope, so the x- and y-coefficients in the standard-form equation must both have the same sign. The answer choices matching that requirement both have ...

  4x +3y = constant

Put the given point in this expression to see the appropriate constant:

  4(-3) +3(2) = -12 +6 = -6

The desired equation is ...

  4x +3y = -6

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Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years
salantis [7]

Answer:Alden is 13 years old

Step-by-step explanation

Let x represent Alden's age.

Let y represent the age of his sister.

Let z represent the age of his second sister.

His sister is 5 years older than he is and 3 times as old as his second sister. This means that

y = x + 5

y = 3z

Alden's brother is 4 years younger than his second sister. It means that his brother's age is

z - 4

His brother is 2. It means that

z - 4 = 2

z = 2 + 4 = 6

y = 3z

y = 3 × 6 = 18

Substituting y = 18 into y = x + 5, it becomes

18 = x + 5

x = 18 - 5 = 13

8 0
3 years ago
Operation for <br><br>w/7 = 14<br><br>addition<br>subtraction<br>multiplication<br>division​
NikAS [45]

Answer: Multiplication

Step-by-step explanation:

Given

w/7=14

Multiply 7 on both sides

w/7 × 7=14 × 7

w=98

In order to isolate w on one side, we should times 7 as the numerator in order to eliminate the 7 in the denominator. To promise equality, we need to multiply 7 on both sides in order to isolate w and solve the equation.

<h2>Thus, it is multiplication.</h2>
4 0
3 years ago
Read 2 more answers
Write an equation that is parallel to the line 2x - 3y = 9 and passes through the point (4, -1).
insens350 [35]

Answer: y = \frac{2x}{3} - \frac{11}{3}

Step-by-step explanation:

Equation of the line given ;

2x - 3y = 9

To find the slope of the line we will make y the subject of formula , that is

3y = 2x - 9

y = \frac{2x}{3}-3

Therefore ; the slope = \frac{2}{3}

Two lines are said to be parallel if they have the same slope

This means that the slope of the second line = \frac{2}{3}

Using the formula y-y_{1}= m ( x - x_{1} ) to find the equation of the line , we have

y - (-1 ) = \frac{2}{3} (x - 4 )

y + 1 = \frac{2x}{3} -\frac{2}{3}(4)

y + 1 = \frac{2x}{3} - \frac{8}{3}

y = \frac{2x}{3}-  \frac{8}{3}  - 1

y = \frac{2x}{3} - \frac{11}{3}

7 0
3 years ago
A 50-litre solution is 3 percent salt by volume.
yulyashka [42]

Answer:

E

Step-by-step explanation:

.03(50) + 0x = (50-x).05  How much 3% salt much be added to zero percent salt to create a mixture that is 5 percent salt.

3(50) = (50 - x)5  I multiplied through by 100 to clear the decimals

150 = 250 - 5x  Distribute the 5

-100 = -5x  Subtract 100 from both sides of the equation

20 = x divide both sides by -5

5 0
2 years ago
A cylinder has a radius of 6 inches and a height of 15 inches. what is the surface area of the cylinder ? express the answer in
Liono4ka [1.6K]

Answer:

252pi (B)

Step-by-step explanation:

Find the area of the bases (2 * pi * r^2)

r = 6, so:

72pi = total area of bases

Find the area of the side (pi * 2 * r * h)

r = 6 and 15 = h, so:

180 pi = area of the side

180pi + 72pi = 252pi (B)

5 0
3 years ago
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