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kolbaska11 [484]
3 years ago
13

What is the area of the figure? _______ ft2

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0
The area is 36 foot squared or 36ft squared

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What is the equation of a circle with center (-3, -1) that contains the point (1, 2)?
Leno4ka [110]
So, we know the center is at -3,-1, ok

hmmm what's the radius anyway?   well, we know that there's a point at 1,2 that is on the circle's path...hmmmm what's the distance from the center to that point?  well, is the radius, let's check then.

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ -3}}\quad ,&{{ -1}})\quad 
%  (c,d)
&({{ 1}}\quad ,&{{ 2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
r=\sqrt{[1-(-3)]^2+[2-(-1)]^2}\implies r=\sqrt{(1+3)^2+(2+1)^2}
\\\\\\
r=\sqrt{16+9}\implies r=\sqrt{25}\implies r=5

so, what's the equation of a circle with center at -3, -1 and a radius of 5?

\bf \textit{equation of a circle}\\\\ 
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad 
\begin{array}{lllll}
center\ (&{{ h}},&{{\quad  k}})\qquad 
radius=&{{ r}}\\
&-3&-1&5
\end{array} 
\\\\\\\
[x-(-3)]^2+[y-(-1)]^2=5^2\implies (x+3)^2+(y+1)^2=25
7 0
3 years ago
24 pack of cans 2 for 9 dollars what is the ratio of the number of cans to the price
ki77a [65]
Each can is 4.50 and the 24 pack is $108
8 0
3 years ago
Read 2 more answers
Is the answer a b c please help
satela [25.4K]

Answer:

B, you were right

Step-by-step explanation:

15*5=75

1125/75=15

8 0
3 years ago
What are the solutions of the compound inequality 2d + 3 ≤ –11 or 3d – 9 > 15?
pentagon [3]

Step-by-step explanation:

1.

2d + 3 \leqslant  - 11 \\ 2d \leqslant  - 11 - 3 \\ 2d \leqslant  - 14 \\  \frac{2d}{2}  \leqslant  \frac{ - 14}{2}  \\ d \leqslant - 7

2.

3d - 9 > 15 \\ 3d > 15 + 9 \\ 3d > 24 \\  \frac{3d}{3}  >  \frac{24}{3}  \\ d = 8

Welcome

3 0
3 years ago
#24 and #25 please help me
Valentin [98]
24).
a).  The equation is

           Balance in my account = 12.5 m  + 100 .

The graph is a straight line with slope = 12.5 and y-intercept = 100.
'm' is the number of months after you start this savings plan.

b).  The part of the Real Estate ad that tells us the cost of land on Mars is cut off.
However much 10 acres will cost, put that number into the equation where it
says "Balance in my account", and solve the equation for 'm'.

25).
a).  It's easy to find four points.  Just let 'n' be 3, 4, 5, and 6, and for each one,
use the formula to calculate what  'S' is.  Yes, if you plot them, they'll all fall in
a straight line.

b).  No.  The value  n = 3.5 does not make sense in the context of the problem. 
We're talking about polygons with 'n' sides, and it's very hard to draw or imagine
a polygon with 3.5 sides.
7 0
3 years ago
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