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qwelly [4]
4 years ago
6

Plot 7 > c on a number line

Mathematics
1 answer:
harina [27]4 years ago
7 0
0----------5------7======================>
hope this helps
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A circular pond is modeled by the equation x^2 + y^2= 225. A bridge over the pond is modeled by a segment of the equation x – 7y
serious [3.7K]
x^2+y^2=225 \\
x-7y=-75 \\ \\
\hbox{solve the second equation for x:} \\
x-7y=-75 \ \ \ |+7y \\
x=7y-75 \\ \\
\hbox{substitute 7y-75 for x in the first equation:} \\
(7y-75)^2+y^2=225 \\
49y^2-1050y+5625+y^2=225 \\
50y^2-1050y+5625=225 \ \ \ \ \ \ \ \ \  |-225 \\
50y^2-1050y+5400=0 \ \ \ \ \ \ \ \ \ \ \ \ |\div 50 \\
y^2-21y+108=0 \\
y^2-9y-12y+108=0 \\
y(y-9)-12(y-9)=0 \\
(y-12)(y-9)=0 \\
y-12=0 \ \lor \ y-9=0 \\
y=12 \ \lor \ y=9

x=7y-75 \\
x=7 \times 12 -75 \ \lor \ x=7 \times 9-75 \\
x=84-75 \ \lor \ x=63-75 \\
x=9 \ \lor \ x=-12 \\ \\
(x,y)=(9,12) \hbox{ or } (x,y)=(-12,9)

The points are (9,12) and (-12,9).
The answer is A.
7 0
3 years ago
What is The solution to the system of equations and graph below
sleet_krkn [62]

Answer:

A. (-2,1)

Step-by-step explanation:

The blue point on the graph represent the coordinates where the two lines intersect or meet, and that means it is the solution of the equation.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
I need help ASAP!!
steposvetlana [31]
 Best Answer:<span>  </span><span>A. Mode 
B. Median 
C. Mean 

the other two are not measures of central tendency. 
Data: 
4+9/12, 5+3/12, 5+4/12,5+7/12,5+3/12, 5+9/12,6+0/12, 5+4/12,6+0/12, 6+1/12,5+7/12, 5+5/12, 4+5/12 

4.4167, 4.75, 5.25{2}, 5.3333{2}, 5.4167, 5.5833{2}, 5.75, 6{2}, 6.0833 

n= 13; Σx= 70.75; Σx²= 387.8403; Σx³= 2140.408; Σx^4= 11886.2257 
σ= 0.4638; σn-1= 0.4828; Variance=σ²= 0.2152; (σn-1)²= 0.2331 
Mean(μ)= 5.4423; range= 1.6667; mid-range= 5.25; median= 5.4167; No Mode Probably right skewed. 
Five number summary: Q0= 4.4167, Q1= 5.25, Q2= 5.4167, Q3= 5.875, Q4= 6.0833, IQR= 4.875</span>
8 0
4 years ago
There is a bag filled with 5 blue and 6 red marbles.
Lorico [155]

There are 6+5 marbles.

Of those, 5 are red.

The chances of drawing a red marble are 5/11

Since you replace the marble you drew, the chances each draw remain 5/11

You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11. The odds of that also being red are 5/11… but we only care about that 5/11ths the time

5/11*5/11=25/121

5 0
3 years ago
Which expression is equivalent to (x^6y^8)^3/x^2y^2?
Masja [62]
For this case we have the following expression:
   (x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
 Rewriting and for power properties we have:
   (x ^ 18y ^ 24) / x ^ 2y ^ 2
   (x ^ (18-2) y ^ (24-2))
   (x ^ 16y ^ 22)
 Answer:
 
The equivalent expression is given by:
   (x ^ 16y ^ 22)
3 0
3 years ago
Read 2 more answers
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