All categories

3 years ago

Write the standard equation of the circle with the given Center and radius:

Mathematics

1 answer:

Kipish [7]3 years ago

5 0

9514 1404 393

Answer:

B. (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

(x -h)² +(y -k)² = r²

Filling in your given values, you have ...

(x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

(x +4)² +(y +5)² = 64 . . . . . . . matches choice B

_____

<em>Additional comment</em>

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.

You might be interested in

RESUELVE EL SIGUINTE PORBLEMA En la escuela "Soy Feliz porque soy diverso", hay 230 estudiantes en total. De estos, 35 son mujer

Tanzania [10]

Answer:

1) a. 195 are males

b. Males are the 85 %

2) 1/2

Step-by-step explanation:

Number of all the students: 230

35 are females

x are males

Then 35 + x = 230

x = 230 - 35 → 195

To determine the amount of males, from the total we apply the percent.

Percent = (Amount of males / Total of students) . 100

% = (195 / 230) . 100 = 85 %

2. In first place, Maria spent 13 for the book.

In second place, Maria spent 29 for the pencil box.

In total, she has spent 13+29 = 42

But, how many dolars have the grandpa gave to her?.

We can also apply percent and fractions, where:

(Book / Total) + (Pencil box/Total) + (What she did not spend/Total) = 1

13 + 29 + x = T

13/T + 29/T + x/T = 1, in conclussion x = 42

Total of money given = 84

Then, Maria has not spent the half of money→ 1/2

7 0

3 years ago

JUAN SAYS, WHEN YOU PUT TOGETHER UNEQUAL GROUPS,YOU CAN ONLY ADD. IS HE CORRECT ? EXPLAIN.

Leno4ka [110]

If you treat multiplication as repeated a<span>ddition, then y</span>es, Juan is correct. Only equal groups can be multiplied.

5 0

3 years ago

Read 2 more answers

A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ

wlad13 [49]

Answer:

The center of the circle is $C(x,y) = (2, 3)$ .

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

$C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y)$ (1)