Euclid of Alexandria was famously known and regarded as the founder of geometry, as well as the father of geometry. He was born in the Mid-fourth century, BC and he specialized in the field of Mathematics. Some of his popular works in the field of Mathematics were Euclid's Elements, Euclidean algorithm and Euclidean geometry.

One of the basic postulate of Euclidean geometry is that a straight line segment can be drawn between any two points.

Others include;

I. All right angles are congruent.

II. All straight line segment is indefinitely extendable in a straight line.

4 0

3 years ago

Simplify this expression using the distributive property

jok3333 [9.3K]

Answer:

When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.

Step-by-step explanation:

8 0

3 years ago

Will give brainliest to correct answer.

Alika [10]

The Pyth. Thm. applies here:

(√x + 1)^2 + (2√x)^2 = (2√x + 1 )^2

Expanding the squares:

x + 2sqrt(x) + 1 + 4x = 4x + 4sqrt(x) + 1

Let's subtract x + 2sqrt(x) + 1 + 4x from both sides:

4x + 4sqrt(x) + 1

-(x + 2sqrt(x) + 1 + 4x)

-------------------------------

3x + 2sqrt(x) - 4x = 0

Then 2sqrt(x) = x

Squaring both sides, 4x = x^2, or x^2 - 4x = 0. Then (x-4)x = 0, and the two possible solutions are 0 and 4.

Check these results by substitution. Does the Pyth. Thm. hold true for x=4?

6 0

3 years ago