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Lyrx [107]
3 years ago
12

True or false? in order to inscribe a circle in a triangle, the circle's center must be placed at the circumcenter of the triang

le

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

<h2>False.</h2>

Step-by-step explanation:

A inscribe circle in a triangle means to draw the biggest circle possible inside such triangle. To do that perfectly, we first have to find the incenter of the circle, which is the intersection of all three internal bisector of the triangle, that point is the center of the inscribed circle.

Therefore, the statement is false.

In addition, a circumcenter allow to perfectly draw a circumscribed circle, which is outside the triangle, which is not the case here.

An image showing the inscribed circle is attached.

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3(x+6)-2=28 to 3(x+6)=30 associative commutative or distributive
tekilochka [14]

Answer:

associative

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Mrs.Golden wants to cover her 6.5 by 4 bulletin board with silver paper that comes in 1-foot squares how many squares does Mrs.G
denis-greek [22]

Answer:

26 1-foot squares of silver paper.

Step-by-step explanation:

The dimensions of the bulletin board are  6.5 feet by 4 feet.

To determine how many squares of silver paper she needs to but, we first determine the area of the bulletin board.

Area of the board =6.5 X 4= 26 Square feet

Therefore, Mrs Golden needs to buy <u>26 1-foot squares of silver paper.</u>

There will be <u>no pieces left over</u> as there is no decimal or fractional value in the area of the bulletin board.

6 0
3 years ago
Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.
melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten  from the factoring.

x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0. Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).

Read more about the factoring here:

brainly.com/question/11579257

#SPJ1

7 0
2 years ago
What’s the answer to this?
My name is Ann [436]

Answer:

A

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

6 0
3 years ago
Solve for v in terms of s, t, v. u=-tsv
mrs_skeptik [129]

Suppose an object starts moving at u and gains an acceleration of a. After time t, it gets a speed v after travelling a distance of s.

a = (v - u) / t => v - u = at

v = u + at

s = ut + 1/2(v - u) t

s = ut + 1/2 (at) t

s = ut + 1/2 at2

s = ut + 1/2 at2

v2 = (u + at)2

v2 =u2 + 2uat + a2t2

v2 = u2 + 2a (ut + 1/2 at2)

v2 = u2 + 2as

v2 = u2 + 2as

6 0
3 years ago
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