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kogti [31]
2 years ago
11

Will mark BRAINLIEST!! — Point H is the circumcenter of triangle DEF. Which must be true? Check ALL that apply. See image.

Mathematics
1 answer:
Margarita [4]2 years ago
8 0

Answer:

A, C, F

Step-by-step explanation:

Definition: The circumcenter is  the center of the triangle's circumcircle - the circle that passes through all three of the triangle's vertices. If point H is the circumcenter of the triangle DEF, then the circumcircle passes through its vertices D, E and F (option A is true).

Option B is false, the circumcircle doesn't pass through the points L, M and N. This option is true for inscribed circle, not for circumcircle.

Option C is true, because HD and HE are the radii of the circumcircle.

Option D is false. This option is true for inscribed circle, not for circumcircle.

Option E is false. This option is true for inscribed circle, not for circumcircle.

Option F is true, because both these angles are right angles.

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3 years ago
What's the sum of two integers with different signs is 8
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Read 2 more answers
Given P(x) = 2x3 - 11x2 + 18x - 15 is divided by x – 3. Use synthetic division to find the quotient and the remainder.
katrin [286]
You can find the remainder right away by simply plugging in x=3. The polynomial remainder theorem guarantees that the value of p(3) is the remainder upon dividing p(x) by x-3, but I digress...

Synthetic division yields

3   |   2   -11   18   -15
.    |           6   -15     9
- - - - - - - - - - - - - - - - -
.    |   2     -5     3     -6

which translates to

\dfrac{2x^3-11x^2+18x-15}{x-3}=2x^2-5x+3-\dfrac6{x-3}

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5 0
2 years ago
3 solutions to y=-5x+1
Luda [366]
Y = -5x + 1

x = 1 , y = -4
x = 2 , y = -9
x = 3 , y = -14

so the answers are
(1,-4) 
(2,-9)
(3,-14)
7 0
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