What ordered pair does a direct variation always go through when graphed?

Write the equation of a circle with center (4, -5) and radius = square root of 13

Anon25 [30]

<h2>Hello!</h2>

The answer is:

The equation of the given circle is:

$(x-4)^{2}+(y+5)^{2}=13$

The equation of a circle is given by the following equation:

$(x-h)^{2} +(y-k)^{2}=r^{2}$

We are given the center point (4,-5) and the radius.

So,

Where:

$h=x=4\\k=y=-5\\r=\sqrt{13}$

Then, substituting into the circle equation, we have:

$(x-4)^{2} +(y-(-5))^{2}=(\sqrt{13})^{2}$

Hence, the simplified equation of the circle is:

$(x-4)^{2}+(y+5)^{2}=13$

Have a nice day!

3 0

3 years ago

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CHECK MY ANSWER ASAP

weqwewe [10]

Question 1: Equiangular

Question 2: Area of the parallelogram = 48 square centimeters

Question 3: Perimeter of the rectangle = 42 ft

Question 4: Area of the trapezoid = 154 square inches

Solution:

Question 1:

The given polygon is a rectangle.

The angles of each side of the polygon is 90°.

This means all angles are equal.

Hence Option A equiangular is the correct answer.

Question 2:

Area of the parallelogram = Base × Height]

= 6 cm × 8 cm

Area of the parallelogram = 48 square centimeters

Question 3:

Perimeter of the rectangle = 2(length + width)

= 2( 15 ft + 6 ft)

= 2(21 ft)

Perimeter of the rectangle = 42 ft

Question 4:

Area of the trapezoid = $\frac{1}{2}\times \text{sum of the parallel sides}\times \text{height}$

$$=\frac{1}{2}\times (14+ 8)\times 14$

$$=\frac{1}{2}\times 22\times 14$

Area of the trapezoid = 154 square inches

8 0

3 years ago

The total weight of a truck and its load is w pounds. Let /be the weight of the load . When it's empty the truck weighs 2,439 po

emmainna [20.7K]

Answer:

equation will be 2439+/=w

Step-by-step explanation:

It is pretty clear from the question, that

the weight of the load is /. and the weight of the empty truck is 2439 pounds.

It means when we load the truck with '/' pounds load, trucks weight increases and is given by

w = 2439 + /

For Example:

Suppose if load / = 1000 pounds it means weight of the truck after adding the load will be

w=2439+1000=3439 pounds.

6 0

3 years ago

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Can you please help asap

almond37 [142]

Answer is a translation

7 0

3 years ago

Example of a number thats not rational and tell me why its not

Mekhanik [1.2K]

One irrational number is π, also known as pi. A rational number is one that can be written as a ratio of two integers (whole numbers). Pi goes on forever, so it can't be written as a ratio. Therefore, π is irrational.

6 0

3 years ago

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