Is the point (2,3) a solution for the inequality y<2x+10

Mathematics

1 answer:

Gnom [1K]3 years ago

8 0

Yes. That point is in the solution space.

_____
You can also figure out algebraically whether the point satisfies the inequality
y < 2x + 10
Substitute the numbers
3 < 2·2 + 10
3 < 14 . . . . . . . . . . . True. (2, 3) is a solution

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krek1111 [17]

Answer:

$\displaystyle x = \frac{25\sqrt{2}}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 45°

Adjacent Leg = 25

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [cosine]: $\displaystyle cos(45^\circ) = \frac{x}{25}$
[Multiplication Property of Equality] Multiply 25 on both sides: $\displaystyle 25cos(45^\circ) = x$
Rewrite: $\displaystyle x = 25cos(45^\circ)$
Evaluate: $\displaystyle x = \frac{25\sqrt{2}}{2}$

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Question 3 / 5

Allisa [31]

There are 10 seats in ferris wheel of love.

One couple can fit in to one seat. That means 1 couple per seat.

Given, in each minute a seat passes by the entrance or exit stage. That means one couple can use the seat for one minute. That means 1 seat per minute.

The wheel starts functioning at 8 p.m for half an hour. In 1 hour there are 60 minutes. So half an hour means $\frac{60}{2}$ = 30 minutes.