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horrorfan [7]
2 years ago
10

Need help not sure about my answers

Mathematics
1 answer:
shusha [124]2 years ago
3 0

Answer:

  x = 0, x = 1

Step-by-step explanation:

Both graphs correctly plot f(x).

Only the bottom graph correctly plots g(x).

The points of intersection of f(x) and g(x) are (0, -4) and (1, -2). The x-value of these points are x = 0 and x = 1. These are the values of x for which f(x) = g(x).

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I need help PLEASE!!!
Stella [2.4K]

9514 1404 393

Answer:

  y = -4/3x +23/2

Step-by-step explanation:

The tangent of interest is perpendicular to the radius at the given point on the circle. To find the perpendicular, it helps to know the slope of the radius segment. To find that, we need the center of the circle.

The center of the circle can be found by completing the square for each variable.

  (x^2 -2x) +(y^2 +4y) = 20

  (x^2 -2x +1) +(y^2 +4y +4) = 20 +1 +4

  (x -1)^2 +(y +2)^2 = 25

Comparing this equation to the standard form equation for a circle, we can find the center.

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . . circle of radius r centered at (h, k)

The center of circle P is (1, -2).

__

The slope m' of the line segment between (1, -2) and (5, 1) is given by ...

  m' = (y2 -y1)/(x2 -x1)

  m' = (1 -(-2))/(5 -1) = 3/4

The slope m of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/m' = -1/(3/4) = -4/3

The y-intercept of the desired line can be found from ...

  b = y -mx . . . . . . . for m=-4/3 and (x, y) = (5, 1)

  b = 1 -(-4/3)(5) = 23/3

Then the equation of tangent line AB is ...

  y = mx +b

  y = -4/3x +23/3

6 0
2 years ago
Describe the Reagan doctrine concerning the fight against communism then provide two examples of how the doctrine looked in acti
dimulka [17.4K]

Answer:

It was President Reagan’s support for anti-communist revolutions. It was used as an attempt to end the Cold War (geopolitical tension after world war ll)

8 0
3 years ago
Natalie opened a bank account that earns 2.5% simple interest. If her account earned $180 over ten years, how much was Natalie's
Inga [223]

Answer:

i believe your answer is $7,200

Step-by-step explanation:

take 180 and divide it by .025, you should get $7,200.

6 0
2 years ago
Will give brainliest, pls help ASAP!​
bekas [8.4K]

Step-by-step explanation:

2 × 10⁸ - 7 × 10⁷

= 200,000,000 - 70,000,000

=130,000,000

= 1.3 × 10⁸

6 0
1 year ago
Read 2 more answers
What is the solution to the system of equations below? y= -3/4 x + 3 and y = –12 (20, –12) (12, –12) (–6, –12) (–12, 12)
qaws [65]

Answer:

the correct answer is (20,-12)

Step-by-step explanation:

6 0
3 years ago
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