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3 years ago

8. Point O is the circumcenter of the triangle ABC shown below.

Mathematics

1 answer:

Gnoma [55]3 years ago

8 0

Answer:

Option B. perpendicular bisector of side AB

Step-by-step explanation:

we know that

The circumcenter is the intersection point of the perpendicular bisectors of a triangle

In this problem

The circumcenter O is the intersection point of perpendicular bisector of side AB and perpendicular bisector of side BC

OA=OB=OC ------> the radius of the circle that passes through all three of the triangle's vertices.

therefore

Option B. perpendicular bisector of side AB

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P( x) =x^3-6x^2-5x-14 What is the remainder R when the polynomial p(x) is divided by (x-7)

Igoryamba

Answer:

The remainder is zero

Step-by-step explanation:

To find the remainder we will use the long division

$\frac{x^{3}-6x^{2}-5x-14}{x-7}=x^{2}\frac{x^{2}-5x-14 }{x-7}$ ⇒(1)

$\frac{x^{2}-5x-14}{x-7}=x\frac{2x-14}{x-7}$ ⇒(2)

$\frac{2x-14}{x-7}=2$ ⇒(3)

From (1) , (2) and (3)

The quotient of the long division is $x^{2}+x+2$ and no remainder

So the remainder is zero

* If you want to check your answer Multiply the quotient by the divisor

$(x^{2}+x+2)(x-7)=x^{3}-6x^{2}-5x-14$

8 0

3 years ago

Perform the indicated operation.<br> 1/3÷3/8<br> A) 1/8<br> B)8/9<br> C)1 1/8

Alenkinab [10]

1/3÷3/8

Multiply by reciprocal

1/ 3÷ 8/3

Now multiply across

1×8/3×3

Solve

8/9

Your answer is b .

4 0

2 years ago

Read 2 more answers

How is the definition of property similar in science and math

sdas [7]

Answer:

Properties in math are used as general rules to solve problems.

I hope this helped!

Step-by-step explanation:

6 0

2 years ago

Which conditional has the same truth value as its converse?

zaharov [31]

I think maybe A Im not 100% sure tho

6 0

3 years ago

In triangle ABC, point D is the centroid, and BD = 6. Find BE.

pshichka [43]

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

$2x=6$

$x=\dfrac{6}{2}$

$x=3$

Now,

$BE=BD+DE$

$BE=6+x$

$BE=6+3$

$BE=9$

Therefore, the measure of side BE is 9 units.

6 0

3 years ago