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valentinak56 [21]
2 years ago
7

How do I simplify this and explain how and why it makes sense how I found it?

Mathematics
1 answer:
Vsevolod [243]2 years ago
6 0

\sqrt{225 {x}^{2} }  \\  =  \sqrt{15 \times 15 \times x \times x }  \\  = 15x

hope this would help you

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On a piece of paper, graph y=-3x-2
svet-max [94.6K]
Hope the answer helps!!!
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7 0
3 years ago
The population of a small town in Alabama is 382 people. If the growth rate is 0.7%, what will its population be in 30 years?
goldenfox [79]
Formula for growth:

y = initial • (percent growth + 1)^time/frequency of growth

So, since initial population is 382

Percent growth is 0.007

The time is 30 years

And it goes it by .07% every 1 year,

y = 382 • (1.007)^30/1

y= 470.9203732 people

Since we can’t have 0.9 of a person, the population after 30 years will be 470 people.



4 0
2 years ago
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8 0
3 years ago
Find the standard form of the equation for the circle with the following properties.
nataly862011 [7]

Answer:

(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}

Step-by-step explanation:

So, we know that the center of the circle is at (-6, -7/6).

To find the equation of our circle that is tangent to the x-axis, we just need to find the vertical distance from our center to the x-axis.

Our center is at (-6, -7/6). The vertical distance from this to the x-axis directly above will be (-6, 0).

So, find our distance by subtracting our x-values:

d=r=0-(-7/6)

Subtract:

d=r=7/6

So, our distance, which is also our radius, will be 7/6.

Now, we can use the standard form for a circle, which is:

(x-h)^2+(y-k)^2=r^2

Where (h, k) is the center and r is the radius.

Substitute -6 for h, -7/6 for k, and 7/6 for r. This yields:

(x+6)^2+(y+\frac{7}{6})^2=\frac{49}{36}

We can confirm by graphing (using a calculator):

7 0
3 years ago
Triangle ABC measures are as follows; Angle A measures 30 degrees, angle B measures (3x-9) degrees and angle C measures 29 degre
ludmilkaskok [199]

Answer:

x = 43 1/3 degrees

Step-by-step explanation:

sum of interior angles in a triangle = 180 degrees

30 + (3x - 9) + 29 = 180

30 + 29 + (3x - 9) = 180

59 + (3x - 9) = 180

(3x - 9) = 180 - 59

(3x - 9) = 121

3x = 121 + 9

3x = 130

x = 43 1/3

8 0
3 years ago
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