Determine the range of the following graph:

Is my answer correct or no? <br> ---> show explanation & details if i am wrong!!!

neonofarm [45]

Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

the center of the circle and a point on the circle

∴ r is the distance between points (0 , 0) and (7 , 0)

∴ $r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7$

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

If the distance is equal to the radius of the circle, then the point is on the circle
If the distance is greater than the radius, then the point is outside the circle
If the distance is less than the radius, then the point is inside the circle

∵ The distance = $\sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}$

∵ r = 7

∵ $7\sqrt{2}$ > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

<em>Your answer is not correct, the correct answer is the 3rd answer</em>

3 0

3 years ago

What is the answer to 9.2 x 0.3

zlopas [31]

Answer:

2.76

Step-by-step explanation:

smort

4 0

3 years ago

Read 2 more answers

Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high

Romashka-Z-Leto [24]

Answer:

614

Step-by-step explanation:

614 can also look like this ^!$ if you hold down caps.

6 0

3 years ago

Read 2 more answers

You are paid $7.25/hour. You work 40 hours/week for 2 weeks. Your involuntary deductions are FICA (7.65%), federal withholding (

Vedmedyk [2.9K]

Answer:

$413.83

Step-by-step explanation:

Your earnings for the two weeks are

7.25(40)(2) = 580

The deductions for FICA will be

0.0765(580) = 44.37

The deductions for federal withholding will be

0.14(580) = 81.2

The deductions for state withholding will be

0.07(580) = 40.6

This makes your realized income

580-(44.37+81.2+40.6) = 580-166.17 = 413.83

7 0

3 years ago

Read 2 more answers

Write a polynomial in factored form that has the given zeros:

wlad13 [49]

Answer:

f(x) = (x + 4)^2*(x - 5)^3

Step-by-step explanation:

For a polynomial P(x) with zeros (or roots):

x₁, x₂, ..., xₙ

And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now, some of these roots can be repeated.

For example if x₁ = x₂

Then we say that the root x₁ has a multiplicity of two.

And we write the polynomial as:

P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)

Now, if we have a polynomial with the roots (or zeros):

Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)

Zero at 5 with a multiplicity of 3 (we have the root x = 5 3 times)

(And a leading coefficient A = 1, I assume)

This polynomial will be written as:

f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)^2*(x - 5)^3

The correct option is the third one:

4 0

3 years ago