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Tcecarenko [31]
2 years ago
11

Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
777dan777 [17]2 years ago
7 0

Answer:

d= 4\sqrt{2} or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }

d= \sqrt{(2-(-2))^{2} + (3-7)^{2}  }

d = \sqrt{16 + 16}

d= 4\sqrt{2} or 5.66

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What is the circumference
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There are two (equivalent) formulas for the circumference of a circle:

C = 2 pi r, where r is the radius of the circle

C = pi d, where d is the diameter of the circle

In this particular problem, however, we're dealing with arc length.  For the shown central angle "theta" = 160 degrees, the arc length is 42 cm.
Knowing this enables us to calculate the radius or diameter of the circle.

Arc length = s = (radius) (central angle, in radians, not degrees)

First, convert 160 degrees to radians:  160 deg     pi rad
                                                              ----------- * ------------ = (8/9) pi rad
                                                                    1         180 deg

Then 42 cm =  r *(8/9) pi rad

Solve for the radius (r):  divide 42 cm by (8/9) pi rad

Then use the formula for circumference introduced earlier:

C= 2 pi r                   Substitute [42 cm / ( (8/9) pi rad )] for r.

Simplify your result, and you will then have the circumference, C, in cm.
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3 years ago
The rate at which Pete’s Bakery can make pies is shown in the graph.
Mashutka [201]
I think the answer would be 17 pies
5 0
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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
vagabundo [1.1K]

Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point, which means that the range is all real numbers less than or equal to y_v.
  • If a > 0, the vertex is a minimum point, which means that the range is all real numbers greater than or equal to y_v.

In this problem, we have that:

  • a = -1 < 0, hence the vertex is a maximum point.
  • The vertex is (-2,9).

Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

More can be learned about the vertex of a parabola at brainly.com/question/24737967

#SPJ1

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2 years ago
Whats the value c<br> Pleaseee help
nikklg [1K]

Step-by-step explanation:

the value of x is 20 that's it good luck

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Help me please...<br> At least an explanation
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Answer:

do u still need this question answeered?

Step-by-step explanation:

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