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gavmur [86]
3 years ago
9

Give an equation of a line that is parallel to −3x + 7y =4. Explain why your line is parallel to the given line and how you arri

ved at your answer.
Mathematics
1 answer:
koban [17]3 years ago
3 0

Answer:

  3x -7y = 0

Step-by-step explanation:

Parallel lines have the same slope.

Changing the constant in a linear equation like this only changes the y-intercept. It has no effect on the slope of the line. So, we can change the constant from 4 to 0 and we will have a line with the same slope, parallel to the original, but with a different y-intercept.

The "standard form" of the equation of a line has the leading coefficient positive. We can make that be the case by using the multiplication property of equality, multiplying both sides of the equation by -1.

Parallel line:

  -3x +7y = 0

In standard form:

  3x -7y = 0

You might be interested in
2. If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th te
alexandr1967 [171]

the first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ S_n = \frac{a(r^n-1)}{r-1}

So ,Sum of first 12 terms is :

⇒ S_1_2 = \frac{a(2^{12}-1)}{2-1}

⇒ 8190=a(2^{12}-1)

⇒ \frac{8190}{4095}=a

⇒ a=2

Now , nth term of a GP is

⇒ a_n = ar^{n-1}

So , 20th term is :

⇒ a_2_0 = 2(2)^{20-1}

⇒ a_2_0 = (2)^{20}

⇒ a_2_0 = 1048576

Therefore , the first term is 2 and the 20th term is 1048576 .

4 0
3 years ago
Which of the following is not a correct form of the quadratic function?
aleksklad [387]

Answer:

The squared form is not a correct form of the quadratic function.

Step-by-step explanation:

Given some forms of quadratic equation. we have to choose the form which is not correct of the quadratic equation.

As the general form and the standard form of quadratic equation is

y=ax^2+bx+c where a,b and c are constant.

Also, the vertex form is

y=m(x-a)^2+b where (a,b) is vertex.

Only the three forms of quadratic equation exist. No other form like squared form exist.

Hence, the squared form is not a correct form of the quadratic function.

3 0
3 years ago
Read 2 more answers
Mr.Miller picked 43 tomatoes. He put them in groups of 5. How many groups could he make ? How many tomatoes were left over ?
r-ruslan [8.4K]
43/5  this is an improper fraction so we will convert it to a mixed number...

(40+3)/5

8+3/5

So he can make 8 complete groups and will have 3 left over.
4 0
3 years ago
Help ASAP thank you
sergey [27]

Answer: Choice A

g(x) = sqrt(2x)

====================================================

Explanation:

"sqrt(x)" is shorthand for "square root of x"

f(x) = 3x^2 is given

g( f(x) ) = x*sqrt(6) is also given

One way to find the answer is through trial and error. This would only apply of course if we're given a list of multiple choice answers.

------------------

Let's start with choice A

g(x) = sqrt(2x)

g( f(x) ) = sqrt(2 * f(x) ) .... replace every x with f(x)

g( f(x) ) = sqrt(2 * 3x^2 ) .... plug in f(x) = 3x^2

g( f(x) ) = sqrt(6x^2 )

g( f(x) ) = sqrt(x^2 * 6)

g( f(x) ) = sqrt(x^2)*sqrt(6)

g( f(x) ) = x*sqrt(6)

We found the answer on the first try. So we don't need to check the others.

------------------

But let's try choice B to see one where it doesn't work out

g(x) = sqrt(x + 3)

g( f(x) ) = sqrt( f(x) + 3)

g( f(x) ) = sqrt(3x^2 + 3)

and we can't go any further other than maybe to factor 3x^2+3 into 3(x^2+1), but that doesn't help things much to be able to break up the root into anything useful. We can graph y = x*sqrt(6) and y = sqrt(3x^2 + 3) to see they are two different curves, so there's no way they are equivalent expressions.

8 0
3 years ago
Read 2 more answers
Select all the numbers that are multiples of 9.
liubo4ka [24]
9, 27, 45, 54, 81,
These are the multiples of 9.
9 *1
9 *3
9 *5
9 *6
9 *9
7 0
3 years ago
Read 2 more answers
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