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Sergeu [11.5K]
3 years ago
15

If the point (1, 5) lies on a circle whose center is at the origin, what is the equation of the circle?

Mathematics
1 answer:
makkiz [27]3 years ago
3 0
In this case just change the variables by the numbers. (1,5)
x=1 y=5
1^2 + 5^2 = 26
1+25=26
26=26 *this one is the answer...
TRUE

x2 + y2 = 16
1^2 + 5^2=16
1+25=16
26=16
False

x2 + y2 = 13
1^2 + 5^2=13
1+25=13
26=13
False

x2 + y2 = 11
1^2 + 5^2=11
1+25=11
26=11
False

So we can say that the first one is the answer.
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Daisy spent a total of $31 before tax on ice cream. the table below shows the different flavors she bought. a carton of strawber
notsponge [240]
The cost of 1 vanilla ice cream and 1 strawberry ice cream should total to $31. Since you only bought one of each flavor, you simply have to add their unit prices. 

Cost for 1 carton of strawberry ice cream + Cost for 1 carton of vanilla ice cream = Total Cost
Total Cost = s + v  --> this is the general equation

Since s = 1.5 + v, the modified equation would be
Total Cost = 1.5 + v + v
Total Cost = 1.5 + 2v
5 0
2 years ago
Solve the following system of equations using elimination (Do not multipy)
aivan3 [116]
1) 5x - 6y = -32 --> equation 1
    3x + 6y = 48  --> equation 2
eliminating y from both of the equations and adding the rest of the terms
we get,
    8x = 16
    dividing 8 on both sides
    x = 2
Substituting the value of x in equation 1
   5(2) - 6y = -32
    10 - 6y = -32
   -6y = -12 ( dividing both sides by -6)
    y = 2

2) 
-3x - 3y = 9 ---> equation 1
      3x - 4y = 5 --> equation 2
eliminating x from both equations and adding the rest of the terms
 we get,
     -7y = 14 ( dividing both sides by -7 )
      y = -2
Substituting the value of y in the equation 1
    -3x - 3(-2) =9
    -3x + 6 = 9 (subtracting both sides by -6)
     -3x = 3
     x = -1

Hope this helps you..  :)
5 0
3 years ago
Read 2 more answers
What is the positive root of the equation x 2 + 5x = 150?
Komok [63]
Move the 150 to the left to get x^2+5x-150=0
Then factor to (x+15)(x-10)=0
The roots are -15 and 10
The positive root is 10
7 0
3 years ago
Read 2 more answers
QUICK FIRST GETS BRAINLIEST!!!!! Use the interactive spinner to model who among Elisondra and her three friends will order first
qwelly [4]

Answer: The chance of Elisondra getting picked is 25%

Step-by-step explanation:

Now you spin the spinner and whoever it lands on is the one who orders first.

Good Luck!

6 0
3 years ago
Read 2 more answers
I need some help on number 15 please...
kondaur [170]
To solve this problem, all you need to do is make a standard graphing equation. The first step is finding mode using two points from the table. We'll use (1, 70) and (2, 90).
\frac{y_{1}- y_{2}  }{ x_{1}- x_{2}}  \\  \frac{70-90}{1-2}  \\  \frac{-20}{-1}  \\ 20
From the work, we've found that the slope of this equation is 20.

Next, we need to finish writing the equation and plug in the coordinates to solve for the y-intercept.
y=20x+b \\ 90=20(2)+b \\ 90=40+b  \\ (90)-40=(40+b)-40 \\ b=90-40  \\ b=50

Now we have all the information we need to write our equation, which is:
y = 20x+50

Hope this helps!

3 0
3 years ago
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