Heather is writing a quadratic function that represents a parabola that touches but does not cross the x-axis at x = –6. Which f
unction could Heather be writing? f(x) = x2 + 36x + 12 f(x) = x2 – 36x – 12 f(x) = –x2 + 12x + 36 f(x) = –x2 – 12x – 36
1 answer:
Answer:
f(x) = –x^2 – 12x – 36
Step-by-step explanation:
The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...
f(x) = (x+6)^2 = x^2 +12x +36
Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...
f(x) = -x^2 -12x -36
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<u>The question is </u>
What is the constant in the expression?
we know that
where
c---------> the cost of Janelle’s cell phone bill
m-------> represents the number of minutes of use
-------> represent the cost per minute (slope of the linear equation)
-------> represent the constant in the expression
therefore
<u>the answer is</u>
The constant is 12
The coordinate of points K, L and M is the location of the points on a coordinate plane
<h3>How to determine the missing coordinates?</h3>
The given parameters are:
K = (10, )
L = ( ,10)
M = (30, )
The question has missing parameters.
So, I will assume that the line is a perfectly horizontal line.
This means that the y-coordinates of points K, L and M are equal.
The y-coordinate of point L is 10.
So, we have:
K = (10, 10)
L = ( ,10)
M = (30, 10)
Assume that point L is halfway points K and M, then we have:
K = (10, 10)
L = (20, 10)
M = (30, 10)
See attachment for the diagram of the coordinate plane showing the line
Read more about coordinate planes at:
#SPJ1
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
