Find the center and radius of the circle x2

andrew-mc [135]

Answer:

Is the question to develop the equation for the straight line shown?

If so,<u> y = (3/4)x + b</u>

Step-by-step explanation:

Look for an equation with the form y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

Calculate Slope using the Rise/Run.

Pick any two points. I chose (-4,0) and (4,6).

Going from left to right:

Rise = (6 - 0) = 6

Run = (4 - (-4)) = 8

Slope is Rise/Run, 6/8 or 3/4

So we have: y = (3/4)x + b

We can see that the y-intercept, b, is 3 (the value of y when x = 0).

The full equation becomes :<u> y = (3/4)x + 3 </u>

3 0

2 years ago

Please can someone answer this for the love of GOD?! Please and I will give you 5 stars or a Thanks?!

FrozenT [24]

Answer:

4) 120π cm^2

5) 56π cm^2

6) 32π cm^2

Step-by-step explanation:

Surface Area of Cylinder = 2π $r^{2}$ + (2πr)(height)

(will use variable h for height)

4)

diameter = 8 cm

r = 0.5(diameter) = 0.5(8) = 4 cm

height = 11 cm

2π $4^{2}$ + (2π)(4)(11)

= 2π(16) + 2π(44)

= 32π + 88π

= 120π cm^2

5)

diameter = 8 cm

r = 0.5(diameter) = 0.5(8) = 4 cm

height = 6 cm

2π $4^{2}$ + (2π)(4)(6)

= 2π(16) + 2π(12)

= 32π + 24π

= 56π cm^2

6)

diameter = 6 cm

r = 0.5(diameter) = 0.5(6) = 3 cm

height = 7 cm

2π $3^{2}$ + (2π)(3)(7)

= 2π(9) + 2π(7)

= 18π + 14π

= 32π cm^2

5 0

2 years ago

The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$

$\bar{S} = 2.5$

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0

3 years ago

Divide until it terminates

stich3 [128]

6.4÷30 points 08 equals 0.2127 Hope it helps!! :)

7 0

3 years ago

Could someone help me with this question? Leave an explanation of how you got this answer.

Alex73 [517]

I want to say either 1/2 or 1/12 but i cant explane sorry

7 0

3 years ago

Find the center and radius of the circle x2 - 22x + y2 + 20y =4