Answer:
or choose any line with slope 1/4
Step-by-step explanation:
The slope of this line is -4. The slope of the line perpendicular to this line will be the negative reciprocal or 1/4.
Write the equation using the slope m=1/4 and the point slope form.
This is the equation of the line that is perpendicular and passes through the same point (-2,3) as the equation listed.
Answer:
where can be any number.
Step-by-step explanation:
First we need to clear for y:
and now we have an equation of the form:
where m is the slope and b is the y-intercept.
in this case and
to find and equation perpendicular to this line, the following must be true:
where m is the slope of the original line that i just mentioned, and is the slope of the new line. Substituting
clearing for
thus, the new perpendicular line must have the form:
where the y-intecept can be any number, some examples are:
and so on, the important thing to be a perpendicular line is that the slopes are related to the equation .
B: 4.8 centimeters
C: 5.6 centimeters
D: 7.6 centimeters
If anyone could help me, that would be great! This is the only question I'm actually stuck on.
The height of glass 1 which in cylindrical in shape is 7.6centimeters. Since the total volume of water added by Celia is 100 cubiccentimeter, and the volume of glass 2 is 26.4 cubic centimeter which is aconical in shape. Subtracting the volume of glass 2 from the total volume glass1 can be calculated and its height.
Answer:
D: 7.6 centimeters
Step-by-step explanation:
If a real world problem assumption of having pen to Kelly and Allen then Kelly have 8 pens and Allen purchase 12 pens.
Linear Equation:
A linear equation is an algebraic equation that have some constants and some variables formed in degree one of variable form.
Kelly and Allen purchasing some pens together and if Allen purchase some pen but Kelly purchase 8 more than Allen. Also the total purchasing is 20 then we have to find number of pens for each one.
According to the condition we have linear equation
How to find solution of linear equation in one variable?
Number of pens purchased by Allen + Number of pens purchased by Kelly = 20
y + 8 = 20
Subtract 8 from both the sides we have
y = 12
Therefore Allen purchase 12 and Kelly purchase 8 pens.
Learn more about Linear Equation here-
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Answer:
f(x) = -x is odd
Step-by-step explanation:
A function f is odd if f(-x) = -f(x) for all x in the domain of f. Then, let's check each of the functions.
1. f(x) = x^3 + 5x^2 + x
f(-x) = (-x)^3 + 5(-x)^2 + (-x) = -x^3 + 5x^2 - x
-f(x) = -(x^3 + 5x^2 + x) = -x^3 - 5x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
2. f(x) = sqrt(x)
f(-x) = sqrt(-x) (Imaginary number)
-f(x) = -sqrt(x)
Given that f(-x) ≠ -f(x). The function f is not odd.
3. f(x) = x^2 + x
f(-x) = (-x)^2 -x = x^2 - x
-f(x) = -x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
4. f(x) = -x
f(-x) = - (-x) = x
-f(x) = -(-x) = x
Given that f(-x) = -f(x). The function f is odd.
Answer with Step-by-step explanation:
A function f is odd if:
f(-x)= -f(x) for all x in the domain of f
1. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
2. f(x)=√x
f(-x)=√(-x)
= i√x
-f(x)= -√x
f(-x) ≠ -f(x)
So, function is not odd
3. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
4. f(x)= -x
f(-x) = -(-x)
=x
-f(x)=x
f(-x) = -f(x)
So, function is odd
-5x-3y=16
y=x