Answer:
x = no solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4x - 5 = x - 1 + 3x
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 4x - 5 = 4x - 1
- Subtract 4x on both sides: -5 ≠ -1
Here we see that -5 does not equal -1.
∴ This equation has no solutions.
Answer:
The greatest common factor of the given expressions is

Step-by-step explanation:
Given that 
can be written as

can be written as

and
can be written as

Comparing the common factors we have
is the greatest common factor of 
Therefore the greatest common factor of the given expressions is

Answer:
259 ft.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles. scalene, equilateral, acute, obtuse and right angled triangle.
A right angled triangle is a triangle in which one of the angles is 90 degrees. Trigonometric ratios show the relationship between the angles of a right angle triangle and its sides.
Let h represent the height of the house above water, hence using trigonometric ratios:
tan(26) = h / 531
h = 531 * tan(26)
h = 259 ft.
Step-by-step explanation:
In order to calculate the height (distance BC in the diagram) you need to know the distance from point D (the closer of the two measurement points to the kite) to the point directly under the kite, B. Once you know this distance then multiplying this by the tangent of angle b will give you the height.