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2 years ago

Write the equation of the line that contains (-4, -3) and is parallel to the line x+2y=-10

Mathematics

1 answer:

Vikentia [17]2 years ago

4 0

<h2>Introduction</h2>

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you with this problem. We can solve this problem in 2 steps, respectively Theory and Solving.

I'll go ahead and start with the Theory.

<h2>Theory</h2>

Before we attempt to solve the problem mathematically, we must first figure out how we're going to solve this problem.

We know that we have a line and a point, we can start by graphing the equation and point that we've received.

<h2 /><h2>Solving</h2>

Now that we have our points plotted and our equations graphed, we can start to see that something odd is happening, the given point is on the line itself.

We can check this by inputting the points into our equation:

$(-4)+2(-3)=-10?\\(-4)+(-6)=-10?\\-10=-10$

This proves that our point is on the line that we were given.

According to the basic rules of Euclidean Geometry, we know that parallel lines can never intersect each other and due to this there cannot be any solution to this problem.

Any other line using this point would intersect the given line, and due to this, this problem has no real solutions.

* The only line that can use these points and graph is the line provided, and that cannot work due to the lines intersecting at an infinite number of points.

Cheers,
Galaxy.

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Find the value of x. Round to the nearest tenth

alina1380 [7]

Answer:

x=10.8

Step-by-step explanation:

the image is the working out. hope this helps.

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3 years ago

What pattern is represented by the polynomial ? 4x^2+12x+9 A. difference of two squares B. general trinomial C. perfect square t

bixtya [17]

Answer:

Option C - Perfect square trinomial.

Step-by-step explanation:

Given : Polynomial $4x^2+12x+9$

To find : What pattern is represented by the polynomial?

Solution :

First we make the polynomial in factor form,

Polynomial $4x^2+12x+9$

Since, it is not factor clearly so try to make the square.

Taking 4 common,

$=4(x^2+3x+\frac{9}{4})$

Identifying the x and y terms in the identity, $(x+y)^2=x^2+y^2+2xy$

$=4((x)^2+2\times x\times \frac{3}{2}+(\frac{3}{2})^2)$

Factor the perfect square trinomial,

$=4(x+\frac{3}{2})^2)$

Therefore, The pattern polynomial represent is perfect square trinomial.

So, Option C is correct.

7 0

3 years ago

PLEASE HELP with this!!

nirvana33 [79]

The answer is 35 7/8. We know that to get the mean, you must add up all the numbers and divide by the amount of numbers. Set up the equation (36 3/4 +36 3/8+37 1/2+n)/4 = 36 5/8. After you solve for n, the missing number, you should get 35 7/8.

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3 years ago

Add and Subtract Rational Expressions with a Common Denominator

Sladkaya [172]

Answer:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}=\frac{q^2+9}{q^2+6q+5}$

Step-by-step explanation:

<u>Simplifying Rational Expressions</u>

If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.

The expression is:

$\displaystyle \frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}$