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dimulka [17.4K]
3 years ago
14

true or false? the circumcenter of a triangle is the center of the only circle that can be inscribed about it

Mathematics
1 answer:
MissTica3 years ago
6 0

Answer:

TRUE

Step-by-step explanation:

The circumcenter of a triangle is the center of the only circle that can be circumscribed about it

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Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the ne
irga5000 [103]

Answer:

July 27

Explanation:

7 x 4 = 27

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1. A line segment on a number line has its endpoonts at -9 and 6. Find the coordinate of the midpoint of the segment.
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1- 1.5   2-(3,1)  3- 2.2 4- 165

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Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 -100.
Tcecarenko [31]
Among the coefficient signs (++-) there is one sign change, so Descarte's rule of signs tells you there is one positive real root. Changing x to -x does not affect the signs, so there is also one negative real root. Then there are two complex roots to bring the total number to 4, the degree of the polynomial.

The factorization is
  f(x) = (x^2 +25)(x^2 -4)
Each of these can be factored using the form for factoring the difference of squares.
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There are 2 real roots: ±2.
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8 0
3 years ago
Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the l
Lubov Fominskaja [6]

Answer:

( x , y ) = ( -1 , - 5 )

Step-by-step explanation:

Solution:-

- The rectangular coordinate system ( Cartesian ) is defined by two independent variables namely, "x and y".

- The values of both varibales lie on the horizontal and vertical line respectively, ( x & y ).

- The values on the horizontal axis also known as the x-axis is marked with a referece of x = 0 ( origin ). All the values to the right of the point of origin are denoted as positive units and all values to the left of the point of origin are denoted as negative units.

- Similarly, The values on the vertical axis also known as the y-axis is marked with a referece of y = 0 ( origin ). All the values to the above the point of origin are denoted as positive units and all values below of the point of origin are denoted as negative units.

- The axis are conventionally oriented such that 90 degrees angle is formed in between them and always denoted in the counter-clockwise direction.

In other words, if +x is pointing to the right then the +y will be pointed in the direction when +x is rotated counter clockwise to 90 degrees; hence, points upward.

- When Amanda starts off at the origin she is at the order pair  ( 0 , 0 ).

- She then moves her finger 1 unit to left ( -x ) and 5 units down ( -y ). Hence, she moves 1 unit along the -x direction and then moves 5 units down along -y direction.

Hence, she is at an ordered pair ( x , y ) = ( -1 , - 5 ) .

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3 years ago
Line p and q are parallel lines. The slope of line q is -3. Determine the slope of line p.
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When two lines are parallel they have the same slope. If we know p and q are parallel and the slope of q = -3, then the slope of p also equals -3.

The fact that they have the same slope mean they never meet: an important property of parallel lines.
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