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lapo4ka [179]
3 years ago
8

Find the equation of the line parallel to 2x + 2y = 3 which passes through the point (1,4). Give your answer in the form of y =

mx + c.
Mathematics
1 answer:
Bumek [7]3 years ago
5 0
If a line is parallel to another line, then the slopes must be the same. the easiest way to find the slope is to put your equation into slope-intercept form (or y=mx+c)so 2x + 2y = 3 put into slope-intercept form would bey = -x + (3/2) by getting y alone and dividing everything by 2.now we know that the slope is -1.
for our new line, we have y = -x + cif it passes through point (1,4) this means that we can solve for the c in the equation.to do this, we can plug in 1 for x and 4 for y and solve for cthen we would get4 = -1 + cc = 5
now we know that the equation for the new line is y = -x + 5
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shusha [124]
Please read the attached file

7 0
3 years ago
A family has three children.The oldest is 4 years older than the middle,and the youngest child is 2 years younger than the middl
lesantik [10]

Answer:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

Step-by-step explanation:

Let us represent:

The age of the youngest child = x

The age of middle child = y

The age of the oldest child = z

The sum of the ages of the children is 26.

Hence: x + y + z = 26...... Equation 1

The oldest is 4 years older than the middle

z = 4 + y

The youngest child is 2 years younger than the middle child

x = y - 2

Hence, we substitute 4 + y for z and y - 2 for x in Equation 1

x + y + z = 26...... Equation 1

y - 2 + y + 4 + y = 26

y + y + y -2 +4 = 26

3y + 2 = 26

Subtract 2 from both sides

3y + 2 - 2 = 26 - 2

3y = 26 - 2

3y = 24

y = 24/3

y = 8

Solving for x

x = y - 2

x = 8 - 2

x = 6

Solving for z

z = 4 + y

z = 4 + 8

z = 12

Therefore:

The age of the youngest child = x = 6 years

The age of middle child = y = 8 years

The age of the oldest child = z = 12 years

7 0
3 years ago
Find three consecutive odd integers such that the sum of the 1st and 2nd number is 344
olga2289 [7]

Answer:

three consecutive odd integers are.

171, 173, 175

Step-by-step explanation:

Let x be the first term of odd integer,

Therefore, the second consecutive odd integers = x+2

Similarly, the third consecutive odd integers = x+4

Given:

The sum of the first term and second term is 344.

first term + second term = 344

Here first term is x and second term is x+2.

x+(x+2)=344

2x+2=344

2x=344-2

x=\frac{342}{2}

x=171

Therefore, the first odd integers is 171.

And the second consecutive odd integers = x+2=171+2=173

Similarly, the third consecutive odd integers = x+4=171+4=175

8 0
4 years ago
A rectangle has a length that is 7 inches less that twice it's width. The area of the rectangle is 72 square inches. Write an eq
Nitella [24]

Answer: 2x^2-7x=72 , where  x= width of the rectangle ( in inches).

Step-by-step explanation:

Let x= width of the rectangle ( in inches).

Then its length =  2x-7 ( in inches).

Area of rectangle = Length × width

= (2x-7) × (x)

= 2x × x -7 ×x

= 2x²-7x

The area of the rectangle is 72 square inches.

\Rightarrow\ 2x^2-7x=72

Hence, the equation that represents the given situation :

2x^2-7x=72

7 0
3 years ago
7(x+y)^(2)+13x(x+y)-2^(2) <br> help
artcher [175]

Answer:

https://www.symbolab.com/solver/step-by-step/7%5Cleft(x%2By%5Cright)%5E%7B2%7D%2B13x%5Cleft(x%2By%5Cright)-2%5E%7B2%7D

Step-by-step explanation:

try this link

6 0
3 years ago
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