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Deffense [45]
3 years ago
11

What is the rate of change in decimal form for the points (1,5) (0,-3)

Mathematics
1 answer:
seraphim [82]3 years ago
3 0

Answer:

The rate of change between (1, 5) and (0, -3) would be 8.0.

Step-by-step explanation:

"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".

We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:

  • \frac{y_2-y_1}{x_2-x_1}

where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.

Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

\frac{5-(-3)}{1-0} =\frac{8}{1}=8

8 = 8.0, so the answer would be 8.0.

The rate of change between the two points would be 8.0.

I hope you find my answer helpful. :)

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Find the area a of the triangle whose sides have the given lengths. a = 20, b = 15, c = 25 a =?
PIT_PIT [208]

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

<h3>What is Heron's formula?</h3>

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle =  \sqrt{s(s-a)(s-b)(s-c)}\\

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = \frac{a+b+c}{2}

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = \sqrt{s(s-a)(s-b)(s-c)}\\

Area of the triangle = \sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150

Thus, the area of a triangle is 150.

Learn more about the Area of triangles here:

brainly.com/question/11952845

#SPJ1

3 0
1 year ago
Sweaters cost $42 each .For every 5 sweaters You buy,You get 1 sweater free.How much will a total of sweaters cost ?
solniwko [45]

<u><em>Note: I think you may have unintentionally missed to mention the amount of total sweaters for which we have to measure the cost. So, after a little research, I was able to find the complete question. So, I will answer your question based on the following completing question. Anyways, it would clear your concept hopefully.</em></u>

Here is the complete question:

<em>Sweaters cost $42 each. For every 5 sweaters You buy,You get 1 sweater free. How much will a total of 30 sweaters cost?  </em>

Answer:

The cost of 30 sweaters = $1050

Step-by-step explanation:

What to determine?

How much will a total of 30 sweaters cost?

Information Fetching and Solution Steps:

  • The cost of each sweater = <em>$42</em>
  • For every 5 sweaters You buy, you get 1 sweater free. It means you will be able to get 6 sweaters for the price of 5

As

The cost of 6 sweaters ⇒ The cost of 5 sweaters + 1 free = 42×5 = $210

So

If the cost of 6 sweaters = $210

Then

the cost of 30 sweaters = 210 × 5 = $1050

Therefore, the cost of 30 sweaters = $1050

<em>Keywords: cost</em>

<em> Learn more cost problems from brainly.com/question/13005346</em>

<em> #learnwithBrainly</em>

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