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emmainna [20.7K]
3 years ago
8

What are the center and radius of the circle defined by the equation x2 + y2 - 6x+By+21=0 ?

Mathematics
1 answer:
podryga [215]3 years ago
5 0

    (x-3)2+(y+B2)2+By=-12+B24

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What is the perimeter of a parallelogram, if it's area is 36 cm^2 and the distances between the point of intersection of the dia
IgorC [24]

Answer:

The perimeter of a parallelogram is 30cm.

Step-by-step explanation:

From the question , the given area of a parallelogram is 36 cm².

But the area of a parallelogram can be calculated using below formula

Area = base * height

From the question the distances that exist between the point of intersection of the diagonals and the sides are 2cm and 3cm respectively

There is the same distance between point of intersection of the diagonals and the opposite sides then,

The base of the side with 4cm can be calculated as

ha= 2+ 2= 4cm

But area can be calculated as A= base × height

36= b1 × h1

36=b1 × 4

b1= 9cm

The base of the other side can be calculated with 6cm height

h2= 3+3=6cm

A= b2× h2

36= b2 ×h2

36= b2× 6

b2= 6cm

Then the perimeter of the parallelogram can be calculated as

P= 2(b1 + b2)

= 2(6+9)

= 30cm

Hence,the perimeter of the parallelogram is 30cm

4 0
4 years ago
six times jason collection of books and one third of nathan collection add up to 134 books. one third of jason collection and na
raketka [301]

Answer:

j = 21 and n = 14

Step-by-step explanation:

we have the equations:

6j + n/3 = 134

j/3 + n = 31

54j + 3n = 1206

j + 3n = 93

53j = 1113

j = 21

(21)/3 + n = 31

7 + n = 31

n = 14

6 0
4 years ago
What is the difference of the fractions? Use the number line to help find the answer
alisha [4.7K]

Answer:

-7/10

Explanation:

Given the expression

\frac{1}{2}-1\frac{1}{5}

We can rewrite the expression as:

\frac{1}{2}-\frac{6}{5}=\frac{5}{10}-\frac{12}{10}

The number line showing the location of the two numbers is attached below. Therefore:

\frac{5}{10}-\frac{12}{10}=-\frac{7}{10}

7 0
1 year ago
You and a partner tend 3 machines that run continuously. One prints 200 plastic bottles per hour, one prints 180 plastic bottles
strojnjashka [21]
The first machine does 200 in 1 hour, so in 8.5 hours it will then do 200 * 8.5.

the second machine does 180 in 1 hour, so in 8.5 hours it will then do 180 * 8.5.

the third machine does 150 in 1 hour, so in 8.5 hours it will do then 150 * 8.5.

how many bottles will they all do in total on that time?

(200 * 8.5) + (180 * 8.5) + (150 * 8.5)
6 0
3 years ago
Read 2 more answers
Higher Order Thinking Mr. Wing's class collected some cans to recycle on Tuesday. They collected 18 more cans on Wednesday. The
Monica [59]

Answer:

26

Step-by-step explanation:

3 0
3 years ago
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