Answer: Baggy clothes, a new phone, art supplies, jewelry, posters(marvel, Billie Eilish, and just some random posters that I love) and room decorations.
Step-by-step explanation:
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Step-by-step explanation:
Algebra is an interesting and enjoyable branch of mathematics in which numbers, shapes and letters are used to express problems. Whether you are learning algebra in school or you are examining a certain test, you will notice that almost all mathematical problems are represented in words.
Therefore, the need of translating written word problems into algebraic expressions arises when we need to solve them.
Most of the algebraic word problems consist of real-life short stories or cases. Others are simple phrases such as the description of a math problem. Well, in this article we will learn how to write algebraic expressions from simple word problems, then advance to lightly complex word problems.
What is an Algebraic Expression?
Many people interchangeably use algebraic expression and algebraic equations unaware that these terms are totally different.
An algebraic is a mathematical phrase where two side of the phrase are connected by an equal sign (=). For example, 3x + 5 = 20 is an algebraic equation where 20 represents the right-hand side (RHS) and 3x +5 represents the left-hand side (LHS) of the equation.
On the other hand, an algebraic expression is a mathematical phrase where variables and constants are combined using the operational (+, -, × & ÷) symbols. An algebraic symbol lacks the equal (=) sign. For example, 10x + 63 and 5x – 3 are examples of algebraic expressions.
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Step-by-step explanation:
cos(x + y) = cos(x)cos(y) - sin(x)sin(y)
x = theta
y = 90°
cos(90) = 0
sin(90) = 1
cos(x)×0 - sin(x)×1 = - sin(x)
remember slopes of lines ?
and how the coordinates and the slope changed for a perpendicular line ?
the slope is y/x, and for the perpendicular line this turned into -x/y.
the same happens here.
sin(x) and cos(x) are the x and y coordinates of a point on the circle with the angle x to the horizontal axis.
if you add 90° to the angle, you create a perpendicular line or angle, and the coordinates follow the slope rules : cos turns into sin and vice versa, and the sign has to flip.
