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liubo4ka [24]
3 years ago
13

Write the equation of a circle with a center at (2.5, –3.5) and a diameter of 12.

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer:

second option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus

(x - 2.5)² + (y - (- 3.5))² = 6², that is

(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle

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For the equation 2(4x+10)=8x+k, which value of K will create an equation with infinitely many solutions?
saw5 [17]

Answer:

For given linear equation having infinite many solution the value of k is 20  .

Step-by-step explanation:

Given as :

The equation is 2 (4 x + 10) = 8 x + k

For infinite many solution , if the variable cancel out to zero then it will have infinite many solutions

<u>So, from given linear equation</u>

i.e 2 (4 x + 10) = 8 x + k

Or, 2 × 4 x + 2 × 10 = 8 x + k

Or, 8 x + 2 × 10 = 8 x + k

Or, 8 x + 20 = 8 x + k

Or, k + (8 x - 8 x) = 20

Or, k + 0 = 20

∴   k = 20

So, The vale of k  = 20

Hence, For given linear equation having infinite many solution the value of k is 20  . Answer

3 0
3 years ago
I NEED HELP VOLUME OF SPHERES 5 QUESTIONS ASAP!!!!
Alexeev081 [22]

Answer:

1.)4188.79

2.) 7238.23

3.)1.02

4.)4189

5.)170 cm³

Step-by-step explanation:

1.) 4πr2 * 5

2.) 4πr2 * 12

3.) V = 4/3(PI*r3). *4.5

4.) V = 4/3 π r ^3 * 10

5.) Given:

Cylindrical container: height = 18 cm ; diameter = 6 cm.

3 balls each have a radius of 3 cm.

Volume of a cylinder = π r² h

V = 3.14 * (3cm)² * 18 cm

V = 508.68 cm³

Volume of rubber ball = 4/3  π r³

V = 4/3 * 3.14 * (3cm)³

V = 113.04 cm³

113.04 cm³  * 3 balls = 339.12 cm³

508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³

There is 170 cm³ free space in the container.

6 0
3 years ago
BRAINLEYEST! POINTS AND 5 STARS! TO RIGHT ANSWER! you have to order the boxes to where there soppost to be just order it with th
nikitadnepr [17]

Answer:

It would be

6

4

1

5

3

2

Step-by-step explanation:

The first one would equal 7

The second one would equal 10

the third one would equal 9

The fourth one would equal 6

The fifth would equal 8

ANd the sixth would equal 3

7 0
2 years ago
Read 2 more answers
What should she do next?
s2008m [1.1K]

Answer:

(-2) *6 = -12

Step-by-step explanation:

4 + (2-4) *6 , solve the subtraction in parenthesis

4 + (-2)*6, solve the multiplication of (-2) *6

4 - 12, solve the subtraction

-8

8 0
2 years ago
Angle 0 lies in the second quadrant and sin 0 = 3/5 cos= coy =
Elza [17]
Consider the right triangle ABC with legs AB=4, AC=3 and hypotenuse BC=5. Angle B has
 \sin B=\frac{opposite}{hypotenuse} = \frac{3}{5} and
 \cos B = \frac{adjacent}{hypotenuse} = \frac{4}{5}.

Since O lies in second quadrant \cos O\ \textless \ 0 and 
\cos O= -\cos B =- \frac{4}{5}.
Answer: \cos O=- \frac{4}{5}. 


3 0
4 years ago
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