In the equation z=x^2-3y, find the value of z when x=-3 and y=4

qwelly [4]

Hey there! I'm happy to help!

The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.

We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.

DIFFERENCE IN Y-VALUES

3-(-3)

3+3

6

DIFFERENCE IN X-VALUES

-2-3

-5

Now, we divide the two answers, giving us -6/5.

So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!

-3=-6/5(3)+b

-3=-3 3/5+b

We add 3 3/5 to both sides to isolate the b.

b=3/5

This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.

Now you can find the slope of a median! Have a wonderful day! :D

8 0

3 years ago

Simplify. Rewrite the expression in the form 5^n <br> 5^2*5^5

alexdok [17]

Answer:

5^10

Step-by-step explanation:

3 0

3 years ago

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Which equation is a function of x?

GrogVix [38]

Answer:

a because a variable cannot be a variable

6 0

3 years ago

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A microscope has a setting that magnifies an object so that it appears 100 times as large when viewed through the eyepiece. If a

3241004551 [841]

The length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Further explanation:

In the question it is given that if an object is viewed under a microscope then the object appears $100$ times large than its original size.

It is given that the length of a insect is $0.095$ centimeter.

This question is based on the concept of multiplication of decimals.

Consider the length of the insect as $x\text{ cm}$ .

Since, the length of insect is $0.095$ centimeter so, trhe value of $x$ is $0.095$ .

As per the question the size of the final image is $100$ times large as the original size so, the size of final image is calculated as follows:

$\boxed{S=x\times 100}$

Substitute $0.095$ for $x$ in the above equation.

$\boxed{\begin{aligned}S&=x\times 100\\&=0.095\times 100\\&=9.5\end{aligned}}$

From the above calculation it is concluded that the length of the insect in the final image is $9.5\text{ centimeter}$ .

Therefore, the length of the insect in the final image is $\boxed{9.5\text{ centimeter}}$ .

Learn more:

1. Learn more about numbers brainly.com/question/4736384

2. Learn more about scientific notation of numbers brainly.com/question/4736384

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Microscope, insect, cenimeter, magnifies, 0.095cm, 100 times, eyepiece, viewed, 9.5cm, simplification, multiplication, decimals, final image.

5 0

4 years ago

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What is a Subset(It should be in the simplest form)

NISA [10]

Answer:

1 : a set each of whose elements is an element of an inclusive set. 2 : division, portion a subset of our community.

Step-by-step explanation:

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B. The relationship of one set being a subset of another is called inclusion

hope this helps

8 0

2 years ago