9514 1404 393
Answer:
a. (10.5, 8)
b. 9
c. 4.5
d. (10.5, 12.5)
Step-by-step explanation:
a. The center of the circle is the midpoint of the diameter. Its coordinates are the average of the end point coordinates.
C = ((6,8) +(15, 8))/2 = (21, 16)/2 = (10.5, 8) . . . circle center
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b. The diameter lies on the horizontal line y=8, so its length is the difference of the x-coordinates of the end points: 15 -6 = 9 . . . circle diameter
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c. The radius is half the diameter: 9/2 = 4.5 . . . circle radius
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d. Another point on the circle will be 4.5 units from the center on the same vertical line: (10.5, 8) +(0, 4.5) = (10.5, 12.5) . . . another point on the circle
Answer:
The turning point of the graph is at (3,-16)
Step-by-step explanation:
The general equation of curve is given as:
y = x² + ax + b
The two point for which the equation satisfies is (0,-7) and (7,0).
Substitute (0,-7) in the general equation:
y = x² + ax + b
-7 = 0² + a(0) + b
b = -7
Substitute (7,0) in the general equation:
y = x² + ax + b
0 = 7² + 7a + b
Where b = -7
0 = 49 + 7a - 7
0 = 42 + 7a
a = -6
The equation of the curve is:
a = -6 and b = -7
y = x² + ax + b
y = x² - 6x - 7
Graph of the equation is attached below.
We can see that the the turning point of the graph is at (3,-16)
Answer:
22
Step-by-step explanation:
The problem can be solved geometrically. By this way, the solution is going to be easy, as well.
We can see from the attached graph that the coordinates are the vertexes.
Considering a unit distance, we can find that the width of this rectangle is:
4 = 12 - 8
and the length is:
7 = 6-(-1)
Then, the perimeter is P = (4+7)*2 = 22
Answer:
The midpoint is
<h2>( - 1 , 4 )</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
T( - 5 , 6) and X ( 3 , 2)
The midpoint is
We have the final answer as
<h3>( - 1 , 4)</h3>
Hope this helps you
Answer:
2 x 20
Step-by-step explanation:
2 x 20 = 40