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3 years ago

Write the equation of the graph shown below in factored form.

Mathematics

1 answer:

tigry1 [53]3 years ago

3 0

Answer:

The answer is B.

Step-by-step explanation:

Graph it on Desmos.

<h2><u><em>PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>

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A circle is centered at the point (-7, -1) and passes through the point (8, 7).

Lisa [10]

Answer:

Part 1) The radius of the circle is 17 units

Part 2) The point (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance from a circle's center to any point on the circle is called the radius of the circle

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance (radius) between the points (-7,-1) and (8,7)

substitute in the formula

$r=\sqrt{(7+1)^{2}+(8+7)^{2}}$

$r=\sqrt{(8)^{2}+(15)^{2}}$

$r=\sqrt{(289}\ units$

$r=17\ units$

step 2

Find the equation of the circle in center radius form

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

where

(h,k) is the center of the circle

r is the radius of the circle

we have

$(h,k)=(-7,-1)\\r=17\ units$

substitute

$(x+7)^2+(y+1)^2=17^2$

$(x+7)^2+(y+1)^2=289$

Remember that

If the point (-15,y) lie on the circle, then the ordered pair must satisfy the equation of the circle

substitute the value of x=-15 in the equation

$(-15+7)^2+(y+1)^2=289$

solve for y

$(-8)^2+(y+1)^2=289$

$64+(y+1)^2=289$

$(y+1)^2=225$

take square root both sides

$y+1=(+/-)15\\y=-1(+/-)15$

$y=-1+15=14\\y=-1-15=-16$

therefore

The point (-15,14) and (-15,-16) lies on this circle

see the attached figure to better understand the problem

8 0

4 years ago

What is 11.3 times 4.3

s2008m [1.1K]

Answer:

48.59

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

Svetradugi [14.3K]

If you read the question you can find it missing some information. By Googling it, you can find the complete question here. brainly.com/question/12852445

The given statement m∠1 = m∠4 and m∠3 = m∠5, its reason is Alternate Interior Angle.

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

Let ABC is a triangle and a line DE traverses through the point B.

That results in AC is parallel to DE.

From the diagram, m∠1 and m∠4 is alternate to each other and m∠3 and m∠5 is alternate to each other. Also, they present in the interior position.

According to alternate interior theorem, when a line traverses through two parallel line creates equal angles in the interior sides which the angles will be opposite to each other.

⇒ m∠1 = m∠4 and m∠3 = m∠5. (refer the diagram).

Now let us continue with the proof,

The total angle of the straight line is 180°.

Here the straight line is DE which consists of three angles m∠4, m∠2, m∠5.

⇒m∠4 + m∠2 + m∠5 = 180° .

we know that, m∠1 = m∠4 and m∠3 = m∠5.

Let us substitute in the above equation.

m∠1 + m∠2 + m∠3 = 180°.

Hence proved.

4 0

3 years ago

Read 2 more answers

find the area of a regular pentagon inscribed in a circle whose equation is given by (x-4)^2 + (y+2)^2=25

makkiz [27]

The radius is √25=5 in this case.
find the area of each triangles first. (the pentagon can be divided into 5 isosceles triangles)
the two equal sides are 5 each, the angle between them is 360/5=72 degree, so the base side is 2*5*sin36, and the height is 5*Cos36
the area of each triangle is (1/2)*2*5*Sin36*5*Cos36
the total area of the 5 triangles is: 5*(1/2)*2*5*Sin36*5*Cos36
use a calculator: A≈59.44

7 0

3 years ago

What is the value of this expression? 3 × (7 – 2) + 4 A. 12 B. 19 C. 23 D. 27 HELP!

Vika [28.1K]

Follow the order of operation: PEMDAS

Parenthesis
Exponents (and roots)
Multiply
Divide
Add
Subtract

3 x (7-2) + 4

first do Parenthesis (as it shows up first)

7 - 2 = 5

Next, Multiply (the next one you have to do)

5 x 3 = 15

Finally, add

15 + 4 = 19

B. 19 is your answer

hope this helps

4 0

3 years ago