Which term describes the point where the three angle bisectors of a triangle intersect?

Mathematics

2 answers:

Alika [10]3 years ago

6 0

The term that describes the point where the three angle bisectors of a triangle intersect is known as insector

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

Hence, The term which describes the point where the three angle bisectors of a triangle intersect is incenter.

Step-by-step explanation:

For better understanding of the solution see the attached figure of the problem :

If the angles bisectors of all the three angles of triangle meet at a point inside a circle, then that point is equidistant from all the three vertices of the triangle.

Also, The incenter of a triangle is the center of the incircle or the largest circle that can be inscribed in the triangle.

The point at which all the three angle bisectors meet is also the center of the incircle.

Hence, The term which describes the point where the three angle bisectors of a triangle intersect is incenter.

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Factor 9y2 - 12y + 4.<br><br> (3 y - 2)(3 y + 2)<br> (3 y - 4)( y + 1)<br> (3 y - 2) 2

lozanna [386]

Answer:

(y - 2)²

Step-by-step explanation:

9y² - 12y + 4 ← is a perfect square of the form

(ax - b)² = a²x² - 2abx + b²

Compare like terms with 9y² - 12y + 4, thus

a² = 9 ⇒ a = 3

b² = 4 ⇒ b = 2 and

- 2ab = - 2 × 3 × 2 = - 12

Thus

9y² - 12y + 4 = (3y - 2)²

8 0

3 years ago

Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repe

Makovka662 [10]

Given:

The expression is

$(-8)^3\cdot (-8)^4$

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

$(-8)^3\cdot (-8)^4$

The repeated multiplication form of this expression is

$=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]$

$=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)$

Clearly, (-8) is multiplied seven times by itself. So,

$=(-8)^7$

Therefore, the repeated multiplication form of the given expression is $(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)$ and the expression as single power is $(-8)^7$ .