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vovikov84 [41]
2 years ago
12

PLEASE HELP WITH THIS ONE QUESTION

Mathematics
1 answer:
EastWind [94]2 years ago
7 0

Answer:

x^2+2x+5

since 4_20=-16<0

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Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F
Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran  3\frac{1}{2}  laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find :  About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle :  2\pi r

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

2\pi *0.25

0.5\pi

Since \pi =3.14

⇒0.5*3.14

⇒1.57

Thus the circular track is of 1.57 miles .

Since she ran   3\frac{1}{2}  = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence ,  Francine run 5.495 miles


6 0
3 years ago
i don't understand how to make it into a graphing form? how do you find the center and radius? (I'm confused because it has a 4x
Vilka [71]

Answer: \bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}

               Center = (2, 3)          radius = \bold{\dfrac{1}{2}}

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

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r²    where

  • (h, k) is the vertex
  • r is the radius

1) Group the x's and y's together and move the number to the right side

   4x² - 16x         + 4y² - 24y               = -51        

2) Factor out the 4 from the x² and y²

    4(x² - 4x          ) + 4(y² - 6y            ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

    4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

  = 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

  = 4(x - 2)² + 4(y - 3)² = -51 +  16  +  36

  = 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

   (x-2)^2+(y-3)^2=\dfrac{1}{4}

  • (h, k) = (2, 3)
  • r=\dfrac{1}{2}

6 0
3 years ago
How to do HELP me please
kipiarov [429]
It will chime 11 times during 8:15 a.m.-1:35 p.m.
3 0
3 years ago
PLEASE PLEASE HELP ME
Setler79 [48]

62.9 - 22.11
7 0
3 years ago
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The Pennington and Williams family each went on road trips this summer. Their mileage is shown in the graph
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Take a picture of the graph
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