Why there must be at least two lines on any given plane

Mathematics

1 answer:

ratelena [41]3 years ago

7 0

Although theoretically there are infinite lines in space and in a plane, too, at least three non collinear points are necessary to define a plane. Two intersecting lines will therefore be necessary to define it (two points create a line); these intersecting lines are the ones to help define coordinates (x,y).

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Which statement describes whether a right triangle can be formed using one side length from each of these squares?

balu736 [363]

Answer:

Step-by-step explanation:

The area of the given squares are

Area = 64 in

Area = 225 in

Area = 289 in

The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.

For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,

8² + 15² = 17²

289 = 289

Therefore, the correct statement is

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square

4 0

3 years ago

Simplify (3a-2b)²-2(3a-2b)(a+2b)+(a+2)²

Mnenie [13.5K]

Answer: 4a2-20ab+12b2+4a+4

the 2 is squareing 4a and 12b

Step-by-step explanation:

expand move the parentheses

multiply the parentheses

collect like terms

6 0

3 years ago

Read 2 more answers

The value of -7 + 24 ÷ (-3)(2) is _____.<br><br> Show work

densk [106]

Answer:

$\boxed{=-23}$

Explanation: You had to used pemdas stands for: p-parenthesis, e-exponents, m-multiply, d-divide, a-add, and s-subtracting that came from left to right.

First you had to multiply and divide from left to right.

$24/(-3)=-8(2)$