Answer:
The equivalent expression is: (6x + 5)*(6x - 5)
Step-by-step explanation:
This expression is called the difference of two squares.
It has the following format: 
It is factored as: 
In this question:
So
, then 
, then 
So
The equivalent expression is: (6x + 5)*(6x - 5)
Answer:
Step-by-step explanation:
<u>Let the numbers are:</u>
- x, x + 1, x + 2, x + 3 and x + 4
- Their sum is 5x + 10
- Their mean is (5x + 10)/2 = x + 2
If we swap the digits on the largest number, the sum increases by 1 more than x + 2
<u>We are looking for the number x + 4 = ab such that:</u>
- ba - ab = ab - 2 + 1
- ba = 2ab - 1
- 10b + a = 2(10a + b) - 1
- 10b + a = 20a + 2b - 1
- 8b = 19a - 1
- 19a = 8b + 1
<u>By trial method we get the solution:</u>
<u>Since x + 4 = 37, the lowest number is:</u>
<u>Lets verify:</u>
<u>The sum is:</u>
<u>The mean is:</u>
<u>Change the largest number tp 73 and find the sum again:</u>
- 175 + (73 - 37) = 175 + 36 = 175 + 35 + 1
The sum has increased by 1 more than 35
Lets split the box in pieces and then add:
top = 20*15 = 300
sidesA = 2*20*9 = 360, is multiplied by 2 cause there are 2 sides like this
sidesB = 2*9*15 = 270, is multiplied by 2 cause there are 2 sides like this
so in total we have:
total = 300 + 360 + 270 = 930 cm^2
if we express this quantity in mm^2 we have:
<span>1cm² = 100 mm²</span>total = 930*100 = 93000 mm^2
so if the tiles are 5 mm^2 we need:
total tiles = <span>93000/5 = 18600
we need 18600 tiles of 5 mm^2</span>
Answer:
x=-2
Step-by-step explanation:
Answer:
Line :-
A line is defined as a line of points that extends infinitely in two directions. It has one dimension, length. Points that are on the same line are called collinear points.
Line segments :-
A straight line which links two points without extending beyond them. The points P and Q are called the 'endpoints' of the segment. ... The word 'segment' typically means 'a piece' of something, and here it means the piece of a full line, which would normally extend to infinity in both directions.
Ray :-
A part of a line with a start point but no end point (it goes to infinity) Try moving points "A" and "B": line.
Complementary Angles :-
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don't have to be next to each other, just so long as the total is 90 degrees. Examples: ... 5° and 85° are complementary angles.
Supplementary Angles:-
Two Angles are Supplementary when they add up to 180 degrees. They don't have to be next to each other, just so long as the total is 180 degrees. Examples: • 60° and 120° are supplementary angles.
Adjacent Angles :-
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Angle ABC is adjacent to angle CBD. Because: they have a common side (line CB).
Linear Pair :-
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.
Transversal lines :-
In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel.
Corresponding angles :-
Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Step-by-step explanation:
