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3 years ago

Which two points of concurrency always remain inside the triangle, and why?

1 answer:

4 0

The point of concurrency is the point where three or more lines, segments, or rays intersect forming a point. Out of the four namely the Centroid, Incenter, Circumcenter, and Orthocenter, only the Centroid and Incenter is always located inside the triangle.

Centroid: where the medians intersect

Incenter: where the angle bisectors intersect

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A nonzero polynomial with rational coefficients has all of the numbers [1 sqrt{2}, ; 2 sqrt{3}, ;3 sqrt{4},; dots, ;1000 sqrt{10

Colt1911 [192]

Answer:

Its degree can be at least 1970

Step-by-step explanation:

for each root of the form √q, where q is not a square, we have a root -√q. Therefore, we need to find, among the numbers below to 1000, how many sqaures there are.

Since √1000 = 31.6, we have a total of 30 squares:

2², 3², 4², ...., 30², 31²

Each square gives one root and the non squares (there are 1000-30 = 970 of them) gives 2 roots (one for them and one for the opposite). Hence the smallest degree a rational polynomial can have is

970*2 + 30 = 1970

8 0

3 years ago

200% of 15 is what number

IrinaK [193]

Answer:

=200/100 ×15

=2×15

=30

Hope it helps...

7 0

3 years ago

Point T is the midpoint of JH. The coordinate of T is (0, 5) and the coordinate of J is (0, 2). The coordinate of H is:

aev [14]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&J&(~ 0 &,& 2~) 
% (c,d)
&H&(~ x &,& y~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left(\cfrac{x+0}{2}~~,~~\cfrac{y+2}{2} \right)=\stackrel{midpoint~T}{(0~,~5)}\implies 
\begin{cases}
\cfrac{x+0}{2}=0\\\\
\boxed{x=0}\\
------\\
\cfrac{y+2}{2}=5\\\\
y+2=10\\
\boxed{y=8}
\end{cases}$

6 0

3 years ago

Q.4 - Please Help, I will give Brainliest!!!!

ankoles [38]

-x/12 = -(1/12)(x) or D

4 0

3 years ago

Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width

blsea [12.9K]

Answer:

Step-by-step explanation:

Perimeter of a rectangle=(length+width)×2

Let W=x, L=2x+2

25=[(2x+2)+x]×2

25=[2x+2+x]×2

Solve for x

25/2=3x+2

25/2-2=3x

25-4/2=3x

21\2=3x=7/2=x

8 0

3 years ago