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VashaNatasha [74]
3 years ago
15

Parallel slope of y= 1/2 x - 1

Mathematics
2 answers:
sweet [91]3 years ago
3 0

Answer:

When looking for parallel slopes of another linear equation you would simply keep the slope that you already have

In y=1/2x-1  (your slope is 1/2)

The parallel slope is 1/2

Hope this helps ;)

dsp733 years ago
3 0

Answer:

If you are looking for a parallel line, keep the slope and change the intercept. For example, you could use y=1/2x+5 or something

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find the value of a and b for which the system of equations has infinitely many solutions : 2x + 3y = 7 ; (a-b)x + (a+b)y = 3a +
hodyreva [135]

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2​

We should note that since it has infinitely many solutions then,

\frac{a_{1} }{a_{2} }   =  \frac{b_{1} }{b_{2} }  = \frac{c_{1} }{c_{2} }

Hence

2/a-b  =  3/a+b   =     7/3a +b-2

2/a-b  =  3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b  -------------------------------------------(1)

Similarly

3/a+b   =     7/3a +b-2

cross-multiply

7(a+b)  = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2)   and solve for b

-2(5) + 4b = -6

-10  +  4b  = -6

add 10 to both-side of the equation

-10  + 10+ 4b  = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore,   a= 5    and   b=1

8 0
4 years ago
A nursery owner buys 5 panes of glass to fix some damage to his greenhouse. The 5 panes cost 12.75​$. ​Unfortunately, he breaks
igomit [66]

Answer:

$5.10

Step-by-step explanation:

The owner buys 5 panes of glass for $12.75. So to find the cost of 1, we need to divide the total cost by the amount of planes. In this case, 12.75 divided by 5. This gives you $2.55 per plane. And since he is buying 2 more, we would multiply the cost of the plane (2.55) by the amount we are buying (2). So we do 2.55 X 2 and we get $5.10

6 0
3 years ago
Elliott has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2, point, 2 kilograms of yarn and each sca
Evgesh-ka [11]

Answer:

Step-by-step explanation:

Let h be the number of hats Elliott makes and s be the number of scarves she makes.

Each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats. This is expressed as

h = 2s

The total number of hats and scarves that she wants to make is 20. This is expressed as

h + s = 20

Therefore, the system of equations that represents this situation are

h = 2s

h + s = 20

8 0
4 years ago
To anyone who's in 8th grade, what did you learn in technology for 3rd quarter. like just give me the unit names or just what yo
Luda [366]

Answer:

You should probably be more specific as different schools have different curriculum's!

Step-by-step explanation:

4 0
3 years ago
Rewrite each expression by combining like terms.
Evgesh-ka [11]

Answer:

5y-2xy

6q-6

Step-by-step explanation:

For the first expression, we can multiply 5 by y to get 5y. Thats all we can simplify it though, because xy is not equal to x or y.

For the second equation, we can easily add the variables to simplify. 6q-6

Hope this helps!

4 0
4 years ago
Read 2 more answers
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