Answer:
(5/2, 1/4)
Step-by-step explanation:
See Image below:)
What is the answer to this onee?
1 answer:
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Answer:
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (-3,5).
Point on the circle is (x,y) = (1,8)
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (-3,5) and (x,y) = (1,8) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(1 - (-3))^2 + (8 - (5))^2 = r^2
(4)^2 + (3)^2 = r^2
16 + 9 = r^2
r^2 = 25
r = 5
Answer:
Step-by-step explanation:
2 is the y-intercept and the slope is one
Answer:
-The ordered pair (-1, 5) is a solution to the first equation because it makes the first equation true.
-The ordered pair (-1, 5) is a solution to the second equation because it makes the second equation true.
-The ordered pair (-1, 5) is a solution to the system because it makes both equations true
Step-by-step explanation:
<u><em>The correct question is</em></u>
Which statements are true about the ordered pair (−1, 5) and the system of equations?
x+y=4
x−y=−6
we know that
If a ordered pair is a solution of a equation, then the ordered pair, must satisfy the equation (makes the equation true)
If a ordered pair is a solution of the system of equations, then the ordered pair, must satisfy the equations of the system (makes both equations true)
we have
----> first equation
----> second equation
step 1
<u><em>Verify if the ordered pair satisfy the first equation </em></u>
Substitute the values of x and y of the ordered pair in the first equation
For x=-1, y=5
---> is true
The ordered pair satisfy the first equation
so
<em>The ordered pair is a solution to the first equation because it makes the first equation true</em>
step 2
<u><em>Verify if the ordered pair satisfy the second equation </em></u>
Substitute the values of x and y of the ordered pair in the second equation
For x=-1, y=5
---> is true
The ordered pair satisfy the second equation
so
<em>The ordered pair is a solution to the second equation because it makes the second equation true</em>
therefore
<em>The ordered pair (-1, 5) is a solution to the system because it makes both equations true</em>