Answer:
The supplement is 94
Step-by-step explanation:
Supplementary angles add to 180 degrees
Let x be the supplementary angle
x+86 = 180
Subtract 86 from each side
x+86-86 =180-86
x = 94
Answer:
(6(4) + 5) / 6 = 29/6
Step-by-step explanation:
The cross section of the satellite dish is an illustration of a quadratic function
The quadratic function that models the cross-section is y = 1/6(x^2 - 9)
<h3>How to determie the equation of the cross-section?</h3>
The given parameters are:
Width = 6 feet
Depth = 1.5 feet
Express the width the sum of two equal numbers
Width = 3 + 3
The above means that, the equation of the cross section passes through the x-axis at:
x = -3 and 3
So, we have:
y = a(x - 3) * (x + 3)
Express as the difference of two squares
y = a(x^2 - 9)
The depth is 1.5.
This is represented as: (x,y) =(0,-1.5)
So, we have:
-1.5 = a(0^2 - 9)
Evaluate the exponent
-1.5 = -9a
Divide both sides by -9
a = 1/6
Substitute 1/6 for a in y = a(x^2 - 9)
y = 1/6(x^2 - 9)
Hence, the quadratic function that models the cross-section is y = 1/6(x^2 - 9)
Read more about quadratic functions at:
brainly.com/question/1497716
Answer:
because the length is 4 feet more than the width
=> the length is x + 4 (feet)
because the base has an area of 21 square feet
=> x(x + 4) = 21
<=> x² + 4x = 21
Answer:
Wait I only see the part where it says “what is the y-intercept and x-intercept of” but I don’t see an equation :/
Step-by-step explanation:
