<h2>
Answer: (y - 2) = - ¹/₄ (x - 10) </h2>
Step-by-step explanation:
When two lines are perpendicular, the product of their slope/gradient = -1. Another way of thinking of this is that they are negative-reciprocal of each other.
Let y = 4x + 6 be [a] & the perpendicular line [b]
since the slope of [a] = 4
then the slope (m) of [b] = - ¹/₄
Since we know the slope of [b], we can use the point-slope form (y - y₁) = m (x - x₁); where (x₁ , y₁) = (10 , 2) & m = - ¹/₄
∴ the equation of the perpendicular line : (y - 2) = - ¹/₄ (x - 10)
The expression is written as (4n/9) + 14
What is an expression?
An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. Many writers differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical things. For instance, is a formula. However, in modern mathematics, and particularly in computer algebra, formulae are considered as expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
The expression is written as (4n/9) + 14
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Y varies with x² times a constant. We will call the constant a
144=ax²
144 = a(4²)
144 = 16a
a = 9
Apply our equation y = 9x²
y = 9(-5)²
y = 9* 25
y=225
Answer is B
The gallons needed to paint the silo is 10.
<h3>How many gallons is needed to paint the silo?</h3>
A cylinder is a three-dimensional object. It is a prism with a circular base. The total surface area of cylinder can be determined by adding the area of all its faces.
Total surface area of the cylinder excluding its base = 2πrh +πr²
Where:
TSA = (2 x 3.14 x 10 x 30) + (3.14 x 10²)
314 + 1884 = 2198 ft²
Number of gallons needed = 2198 / 224 = 9.81 = 10 gallons
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