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OLEGan [10]
3 years ago
5

Identify the equation of the circle J with center K(-7,3) and radius 6.

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
8 0

Answer:

equation of the circle J with center K(-7,3) and radius 6 is=

x^2+y^2+14x-6y+22=0

Step by step explanation:

Equation of circle with given centre (h,k) and radius r is

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

Given centre are K(-7,3) and radius 6.

So equation of Circle=

(x- -7)^2+(y-3)^2=6^2

x^2+14x+49+y^2-6y+9=36

x^2+y^2+14x-6y+22=0 answer

Troyanec [42]3 years ago
5 0

Answer:

(x + 7)² + ( y − 3)² = 36

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is                                (x − h)² + (y − k)² = r².

Define h, k and r using the given values. So, h= −7, k = 3, and r = 6.

Substitute the values into the equation of a circle.

(x − (−7))² + (y −3)²= 62

Simplify.

(x + 7)² + (y − 3)²= 36

Therefore, the equation of the circle J with center K (−7, 3) and radius 6 is (x + 7)² + (y − 3)²= 36.

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The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers
gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.  

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked \times cost per hour

\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0
3 years ago
John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart
Rina8888 [55]
<h2>Answer:</h2>

Probability=\frac{1}{24}

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is \frac{1}{24}</u></em>

3 0
3 years ago
A reciprocal is a number that _____.
konstantin123 [22]
Answer : A

The reciprocal of 5 would be 1/5 and 5/1 * 1/5 = 1

hope that helps!:)
6 0
3 years ago
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zlopas [31]

Answer:

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Step-by-step explanation:

<em>Exponential function is the one where, a constant is raised to the power of x, a independent variable.</em>

Here, only option B and D are such exponential functions, while option A is linear and option C is quadratic in nature.

Now, to verify which option is correct, we will input the values and check which has the least difference between the given values.

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6 0
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Using fundamental theorem of algebra, there should be 7 roots, if you count multiplicity.

If you're only counting distinct roots, then there should be 4 roots.

5 0
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