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givi [52]
3 years ago
12

A circle has a radius of sqrt 45 units and is centered at (-2.4, -4.8) Write the equation of the circle

Mathematics
1 answer:
REY [17]3 years ago
5 0

Answer:

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

Step-by-step explanation:

The equation of a circle can be written as

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

Where ( h,k) is the center and r is the radius

( x-- 2.4) ^2 + ( y--4.8) ^2 = (sqrt45)^2

( x+ 2.4) ^2 + ( y+4.8) ^2 = 45

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The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are
melamori03 [73]

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

3 0
3 years ago
Solve.
Oduvanchick [21]

Answer:

Step-by-step explanation:

There are several approach to solving a quadratic equation; factorization, completing the square, the use of 'the almighty formula etc. Though i didn't see the steps you followed in solving, but from your answer, it is obvious you made good attempt but something is missing, your answer should be (5+√57)/2 or (5-√57)/2

5 0
3 years ago
Read 2 more answers
What is the probability of landing on a number less than 7 and then landing on a number less than 8?
lianna [129]

ummmmmmmmmmmmmmmmmmmmmmmmmmmmm 8?

6 0
2 years ago
Divide. (35x^2 – 11x -8) divided by(5x+2)
Thepotemich [5.8K]
Attached you will see the answer (use polynomial division)
5 0
3 years ago
I would appreciate it if someone could help answer this problem:)
miskamm [114]

Answer:

Sum of Interior Angles = 900°

One Interior Angle = 128.57°

Step-by-step explanation:

We know that the figure is a Heptagon (a 7 sided polygon), therefore;

→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;

=> (n - 2) * 180 = Sum of Interior Angles

=> (7 - 2) * 180 = Sum of Interior Angles

=> 5 * 180 = Sum of Interior Angles

=> <u>900° = Sum of Interior Angles</u>

Now that we know the sum of interior angles,

→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.

=> Sum of Interior Angles / n = One Interior Angle

=> 900 / 7 = One Interior Angle

=> <u>128.57° = One Interior Angle</u>

Hope this helps!

7 0
3 years ago
Read 2 more answers
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