All categories

3 years ago

3.simplifyyyyyyyyyyyyyyyyyyy

Mathematics

2 answers:

Charra [1.4K]3 years ago

4 0

Answer:

C. 7

Step-by-step explanation:

garik1379 [7]3 years ago

4 0

Answer:

(3+√2)(3-√2) = 7

Step-by-step explanation:

We have given a expression.

(3+√2)(3-√2)

We have to simplify above expression.

We use difference formula to solve above expression.

(a-b)(a+b) = a²-b²

(3+√2)(3-√2) = (3)²-(√2)²

(3+√2)(3-√2) = 9-2

(3+√2)(3-√2) = 7 which is the answer.

You might be interested in

How do you find the area of a triangle when given only the lengths of three sides?

SashulF [63]

Answer:

Use Heron's formula; see below.

Step-by-step explanation:

Use Heron's formula.

Let the sides of the triangle have lengths a, b, and c.

$s = \dfrac{a + b + c}{2}$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

Example:

A triangle has side lengths 3, 4, and 5 units.

Find the area of the triangle.

$s = \dfrac{a + b + c}{2}$

$s = \dfrac{3 + 4 + 5}{2}$

$s = 6$

$area = \sqrt{s(s - a)(s - b)(s - c)}$

$area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}$

$area = \sqrt{6(3)(2)(1)}$

$area = \sqrt{36}$

$area = 6$

3 0

2 years ago

Given circle X with radius 10 units and chord AB with length 12 units, what is the length of segment CX, which bisects the chord

andrew-mc [135]

Consider the circle with center X, as shown in the figure.

Draw the diameter of the circle which is parallel to cherd AB, as shown in the figure.

Since the diameter and AB are parallel, then the line segment XC which bisects AB at C, will be perpendicular to AB.

SO triangle XCB is a right triangle. Thus the length of CX, by the Pythagorean theorem is

$\sqrt{ XB^{2}- CB^{2}} = \sqrt{ 10^{2}- CB^{6}}= \sqrt{100-36}= \sqrt{64}=8$ units.

Answer: 8 units