Just think about it
right angles are the very definition of perpendicular
how many right angles in a full rotation? 4
answer is 4
Inequality 1: y ≤ 5x + 1
Inequality 2: y > x - 2
#1. The slope is 5, the y-intercept is 1, the shaded area is below the line and the line is solid, which means that y is less than or equal to the equation. (you add the "equal to" because the line is a solid line)
#2. The slope is 1, the y-intercept is -2, the shaded area is above the line and the line is dotted, which means that y is greater than the equation
The new function is g(x) =-1(1/-x) +2.
The transformation of function f(x) to function g(x) is given by g(x)=A f(Bx+ H)+K. where the constant A scales the function vertically. (A negative A reflects the function about the x-axis B scales the function horizontally. (A negative B reflects the function on the y-axis.) H shifts the function horizontally, and K shifts the function vertically.
Convert f(x) to g(x)
where the conversion is g(x)=f(x)+2.
A perpendicular line has negative reciprocal slopes, so for g(x) to be perpendicular to f(x), we need to get the negative reciprocal of -x, which is -1(1/-x)
So, f(x)=-x-2 ; m = -1
From the above information, we get g(x) as follows.
g(x) =-1(1/-x) +2
More problems related to finding new functions for a given function are below.
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2.32 x 10⁵ = 232000
This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.
10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000
2.32 x 100000 = 232000
The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.
There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.
Answer:
n = -7,6
Step-by-step explanation:
n(n+1)+3=45
distributive property: a(b+c) = ab+ac
n²+n+3 = 45
n²+n -42 = 0
factor now
(n+7)(n-6) = 0
n = -7,6
