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Anna11 [10]
3 years ago
13

Write an equation of the circle with center (-5,2) and diameter 6.

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

(x+5)^2+(y-2)^2=36

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius, thus:

(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-2)^2=6^2\\(x+5)^2+(y-2)^2=36

This means that our equation for the given circle is (x+5)^2+(y-2)^2=36

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To show a repeating decimal, a bar is placed over the repeating pattern. <br> True or False
solniwko [45]

Answer:

True

Step-by-step explanation:

Example: 1.666666...

In that case, place the bar on top of the last 6

4 0
3 years ago
What is the equation of the quadratic graph with a focus of (4, −3) and a directrix of y = −6?
Artyom0805 [142]

Answer:

y=\frac{1}{6} (x-4)-\frac{9}{2}

Step-by-step explanation:

∵ The quadratic equation form is :

y = [1/2(b - k)] (x - a)² + (b + k)/2

Where (a , b) is the focus and directrix y = k

∵ The focus is (4 , -3) and directix is y = -6

∵ y=\frac{1}{2(-3-(-6))} (x-4)^{2}+\frac{(-3)+(-6)}{2}

∴ y=\frac{1}{6} (x - 4)^{2}+\frac{-9}{2}

∴ y=\frac{1}{6} (x-4)-\frac{9}{2}

another way:

Assume that (x , y) is the general point on the parabola

∵ The distance between the directrix and (x , y) = the distance between the focus and (x , y)

By using the distance rule:

∵ (y - -6)² = (x - 4)² + (y - -3)² ⇒ (y + 6)² = (x - 4)² + (y + 3)

∴ y² + 12y + 36 = (x - 4)² + y² + 6y + 9

∴ 12y - 6y = (x - 4)² + 9 - 36

∴ 6y = (x - 4)² - 27 ⇒ ÷ 6

∴ y = 1/6 (x - 4)² - 9/2

4 0
3 years ago
X+2=-12<br><br> Help ASAP!<br> PLEASE!
Lena [83]

Hey there!

Answer = -14

Explanation:

Let's solve your equation step-by-step.

x + 2 = -12

Subtract 2 from both sides:

x + 2 - 2 = -12 - 2

x = -14

So therefore, that is how you found your answer: x = -14

5 0
3 years ago
En un salon de clases cuando se colocan cuatro alumnos en cada banca, 3 de ellos quedan sin puesto y cuando se colocan de a 5 en
Harlamova29_29 [7]

Answer: 5 benches and 23 students

Step-by-step explanation:

I will answer in English.

We have E students and B benches.

If we sit 4 students per bench, we have 3 students left.

then:

E = 4*B + 3

And if we sit 5 students per bench, there are two places with no students sited.

E = 5*B - 2

now we can replace the E in the second equation with the right part in the first equation:

4*B + 3 = 5*B - 2

3 + 2  = 5*B - 4*B

5 = B

So we have 5 benches, and:

E = 4*5 + 3 = 23 students.

5 0
3 years ago
If you could please help good sir...
Vladimir [108]

Answer:10

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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