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VashaNatasha [74]
3 years ago
8

What is the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6

Mathematics
1 answer:
irakobra [83]3 years ago
5 0
<span>3x-2y=-6
2y = 3x + 6
y = 3/2x + 3 so slope = 3/2
</span><span>parallel lines have same slope, also has slope = 3/2

</span><span>passes through (4,2) 
y = mx + b
2 = 3/2(4) + b
2 = 6 + b
b = -4

equation
y = 3/2x - 4

standard form
3x - 2y = 8</span>
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Ms Bonilla is saving for a vacation she currently has 150 in her savings account and plans to add $25 to the account each week .
Alexandra [31]

Answer and Step-by-step explanation:

Alright, so when creating any type of math problem, it is important to identify the parts of the problem and where they go. First, we need to start by putting the problem together. We will use one of the most common forms of equations of math, also known as the linear equation of <em>y=mx+b.</em>

So we have: S(w)=__x + __. S(w) is also equal to f(x), which is also equal to y. So: y= __x + __.

Let's start filling this equation in. So, because it says that she will <em>add 25 dollars each week</em>, The problem is addition. Also, the 25 dollars each week will represent the mx in this situation. Here's why:

The x in this can stand for the amount of week she added this 25 dollars to her account. So:

y= 25x + __.

Now, we can add the 150 to the problem because that is what she started with for this one-time deal. So now we have:

y= 25x + 150.

You can now where everything is represented, but we are not done. Let's change y and x back into S(w) and w like the question asks us to have. So:

S(w)= 25w + 150.

If you want to solve this question, just replace the number of weeks in place of all w's in the equation, like this: S(2)= 25(2) + 150.

I hope that this helps.

8 0
2 years ago
3) Sue bought a triangular shaped piece of wood
olga_2 [115]

Answer:

12 inches of fabric

Step-by-step explanation:

Area of a triangle = hight x base

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12 inches of fabric is your answer

Hope this helps :)

6 0
3 years ago
T-shirts are on sale for $4 off he regular price. Jeb buys 5 T-shirts for a total of 45.05, including a 6% sales tax. Which equa
Ksenya-84 [330]

Answer:

1.06 × 5(r-4) = 45.05

Step-by-step explanation:

Let r represents the regular price of each T-shirt,

After getting $ 4 off in regular price,

New price of each T-shirt = r - 4,

Thus, new price of 5 T-shirts = 5 × price of each T-shirt

= 5(r - 4)

Since, there is 6% sales tax,

Then, the final price after discount = 5(r - 4) + 6% of (5(r-4))

= 5(r-4) + 0.06(5(r-4))

= 1.06 × 5(r-4)

According to the question,

1.06 × 5(r-4) = 45.05

Which is the required equation.

5 0
3 years ago
What's the value of x in the equation: 10x-6=5x34
Snowcat [4.5K]

Answer:

8

Step-by-step explanation:

10x-6=5x+34

-5x -5x

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+6 +6

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---- ----

5 5

x= 8

// have a great day //

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Verbs is the answer my friend
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