Answer:
y=−5x−5
Step-by-step explanation:
Answer:
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle x is the complement of the one marked 31°.
x = 90 -31
x = 59
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The tangent relation tells you ...
tan(31°) = 10/y
y = 10/tan(31°) = 10/0.6009
y ≈ 16.64
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The sine relation tells you ...
sin(31°) = 10/z
z = 10/sin(31°) = 10/0.5150
z ≈ 19.42
211512945555694/653
Decimal: 323909564403.819336
Hello there!
There are two ways to find the minimum value of this function, but before I show you how, I am going to teach you a little bit about minimum value.
The minimum value on a parabola is the vertex or turning point. This means that the slope of the tangent line is horizontal, having a slope of 0.
The algebraic way to find the minimum or maximum value on a parabola is to use the formula -b/2a. Let's do it...
y=4x^2+4x-35
where a=4, b=4, and c=-35
-b/2a
-4/2(4)
-4/8
-1/2
Now let me show you the other way...
Take the derivative of
y=4x^2+4x-35
y'=8x+4
And set it equal to 0...
8x+4=0
8x=-4
x=-1/2
We got the same answer. Now that we know x=-1/2, plug this into the original equation to find y.
y=4x^2+4x-35
y=4(-1/2)^2+4(-1/2)-35
y=-1-2-35
y=-38
So the minimum point on this parabola is (-1/2,-38)
I really hope th
Answer:
Step-by-step explanation:
For every 1,000 feet that it climbs, the outside temperature drops 20 ... What is the rate of temperature change in degrees Fahrenheit per foot.
