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Degger [83]
3 years ago
9

Find the center and the radius for the circle, given the equation: X^2+16X+y^2-6y=-24

Mathematics
1 answer:
Alika [10]3 years ago
6 0
The center of the circle is (5,3)
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Solve the equation. 2x + 12 = 2(x + 6)
Vilka [71]

Answer:

Infinitely many solutions

Step-by-step explanation:

Step 1- Distribute into the parenthesis.

2x+12= 2(x+6)

2x+12= (2)x+(2)6

Step 2- Multiply

2x+12= 2x+12

Since they are equal, they are infinite.

5 0
3 years ago
A $3,500 loan, taken now, with a simple interest rate of 5% per year, will require a total repayment of $3,850. At what time t w
Alecsey [184]

Answer:

Roughly 2 years

Step-by-step explanation:

3500(1.05)^t=3850

(1.05)^t=1.1

t=1.953

So roughly 2 years

5 0
3 years ago
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Could I have help on number 7
frutty [35]
Y= 21 so HQE = 42 and AQG= 21
6 0
3 years ago
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What is the rate of change from x = n to x = 2n?​
puteri [66]

Answer:

\dfrac{-8}{\pi}

Step-by-step explanation:

The rate of change of the function f(x) from point x_1 to point x_2 can be calculated using formula

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}

Given

x_1=\pi\\ \\x_2=2\pi

From the graph of the function

f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4

So, the rate of change is

\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}

5 0
3 years ago
Which of the following is true of the discriminant for the graph below?
Sonbull [250]

Answer:

<u>Option C. It is zero</u>

Step-by-step explanation:

The graph represents a quadratic equation

The quadratic equation has the form ⇒a x² + b x + c

The discriminant of the quadratic equation is D = b² - 4ac

From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

  1. If D > 0 ⇒ Two real roots.
  2. If D = 0 ⇒ one real roots
  3. If D < 0 ⇒ Two imaginary roots.

The roots of the quadratic equation are the x-intercepts of the function.

As shown at the figure, the quadratic equation has only one point of intersection with the x-axis

So, the function has only one root ⇒ D = 0

So, the discriminant of the quadratic equation = 0

<u>The answer is option C. It is zero</u>

7 0
3 years ago
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