We can rewrite the equation given above as,
y = 3 - 4x
This item asks us to determine the value of the y-intercept. The value is calculated by letting x of the equation be equal to zero. Applying this methodology to the given above,
y = 3 - 4(0)
y = 3
Hence, the y-intercept of the given function is 3.
Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
Congruent means Same Side, Same Shape.
If two angles are congruent, they are to be of the same size and same shape or a fraction of it (Dilation)
29 can not be broken down to an even number
With continuous data, it is possible to find the midpoint of any two distinct values. For instance, if h = height of tree, then its possible to find the middle height of h = 10 and h = 7 (which in this case is h = 8.5)
On the other hand, discrete data can't be treated the same way (eg: if n = number of people, then there is no midpoint between n = 3 and n = 4).
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With that in mind, we have the following answers
1) Continuous data. Time values are always continuous. Any two distinct time values can be averaged to find the midpoint
2) Continuous data. Like time values, temperatures can be averaged as well.
3) Discrete data. Place locations in a race or competition are finite and we can't have midpoints. We can't have a midpoint between 9th and 10th place for instance.
4) Continuous data. We can find the midpoint and it makes sense to do so when it comes to speeds.
5) Discrete data. This is a finite number and countable. We cannot have 20.5 freshman for instance.
